We provide mechanical properties of solids practice exercises, instructions, and a learning material that allows learners to study outside of the classroom. We focus on mechanical properties of solids skills mastery so, below you will get all questions that are also asking in the competition exam beside that classroom.

#### List of mechanical properties of solids Questions

Question No | Questions | Class |
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1 | A wire of radius ( r, ) Youngs modulus ( Y ) and length ( l ) is hung from a fixed point and supports a heavy metal cylinder of volume ( V ) at its lower end. The change in length of wire when cylinder is immersed in a liquid of density ( rho ) is in fact A ( cdot ) decreases by ( frac{V l rho g}{Y pi r^{2}} ) B. increases by ( frac{V r rho g}{Y pi l^{2}} ) c. decreases by ( frac{V rho g}{Y pi r} ) D. increases by ( frac{V rho g}{pi r l} ) |
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2 | A material has poisson’s ratio of ( 0.5 . ) If a uniform rod suffers a longitudinal strain of ( 2 times 10^{-3} ) the percentage increase in its volume is : A . २% в. 0.5% c. ( 4 % ) D. 0% |
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3 | Substances that break just after elastic limit is reached are known as A. brittle substances B. breakable substances c. ductile substances D. elastic substances |
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4 | The following substances which possess rigidity modulus A. Only Solids B. Only liquids c. Liquids and Gases D. solids, Liquids and Gases |
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5 | The stress at which extension of the material takes place more quickly as compared to the increase in load is called A. Elastic point of the material B. Plastic point of the material c. Breaking point of the material D. Yield point of the material |
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6 | The Poissons ratio of a material is ( 0.4 . ) If a force is applied to a wire of this material, there is a decrease of the cross-sectional area by ( 2 % ). The percentage increase in its length is A . ( 3 % ) в. 2.5% c. ( 1 % ) D. 0.5% |
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7 | Two metal wire ‘P’ and ‘Q’ of same length and material are stretched by same load. Their masses are in the ratio ( boldsymbol{m}_{1}: ) ( m_{2} . ) The ratio of elongations of wire ‘P’ to that of ‘Q’ is A ( cdot m_{1}^{2}: m_{2}^{2} ) в. ( m_{2}^{2}: m_{2}^{1} ) ( mathrm{c} cdot m_{2}: m_{1} ) D. ( m_{1}: m_{2} ) |
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8 | If the ratio of diameters, lengths and Young’s moduli of steel and brass wires shown in the figure are ( p, q ) and ( r ) respectively. Then the corresponding ratio of increase in their lengths would be: A ( frac{3 q}{5 n^{2} r} ) в. ( frac{5 q}{3 p^{2}} ) c. ( frac{3 q}{5 p r} ) D. ( frac{5 q}{p r} ) |
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9 | Which of the following statements is correct regarding Poisson’s ratio? A. It is the ratio of the longitudinal strain to the lateral strain B. Its value is independent of the nature of the material C. It is unitless and dimensionless quantity D. The practical value of Poisson’s ratio lies between 0 and 1 |
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10 | A cable that can support a load of 1000 N is cut into equal parts. the maximum load that can be supported by the either part is:- A . ( 1000 mathrm{N} ) B. 2000 N c. ( 500 mathrm{N} ) D. 250 N |
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11 | Longitudinal strain can be produced in : A. glass B. water c. honey D. hydrogen gas |
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12 | A steel rope has length ( L ), area of cross- section ( A ), Young’s modulus ( Y ) and density as ( d ). It is pulled on a horizontal frictionless floor with a constant horizontal force ( F=frac{d A L g}{2} ) applied at one end. Find the strain at the midpoint. ( mathbf{A} cdot frac{d g L}{2 Y} ) B. ( frac{d g L}{4 Y} ) ( mathbf{c} cdot frac{d g L}{6 Y} ) D. ( frac{d g L}{8 Y} ) |
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13 | There are two wires of same material and same length while the diameter of second wire is two times the diameter of first wire, then the ratio of extension produced in the wires by applying same load will be A . 1: 1 B . 2: 1 c. 1: 2 D. 4: 1 |
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14 | A wire is stretched to double its length. The strain is : A. infinity B. c. zero D. 0.5 |
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15 | Two wires of same material and length but cross-sections in the ratio 1: 2 are used to suspend the same loads. The extensions in them will be in the ratio A .1: 2 B . 2: 1 c. 4: 1 D. 1: 4 |
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16 | Two light wires made up of the same material (Young Modulus, Y) have length ( L ) each and radii ( R ) and ( 2 R ) respectively, They are joined together and suspended from a rigid support. Now a weight ( W ) attached to the free end of the joint wire as shown in the figure. Find the elastic potential energy stored in the system due to the extension of the wire |
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17 | ILLUSTRATION 33,5 A student performs an experiment to determine the Young’s modulus of a wire, exactly 2 m long, by Searle’s method. In a particular reading, the student measures the extension in the length of the wire to be 0.8 mm with an uncertainty of +0.05 mm at a load of exactly 1.0 kg. The student also measures the diameter of the wire to be 0.4 mm with an uncertainty of +0.01 mm. Take g = 9.8 m/s’ (exact). The Young’s modulus obtained for the reading is (a) (2.0 + 0.3)10 N/m2 (b) (2.0 +0.2) x 10 N/m? (c) (2.0 + 0.1) X 10′ N/m? (d) (2.0 + 0.05) x 10 N/m² ed nat |
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18 | The length of a rubber cord is ( l_{1} ) metres when the tension in it is ( 4 N ) and ( l_{2} ) metres when the tension is ( 5 N ). then the length in meters when the tension is ( mathbf{9} N ) is A ( cdot 3 l_{2}+4 l_{1} ) B . ( 3 l_{2}+2 l_{1} ) ( mathbf{c} cdot 5 l_{2}-4 l_{1} ) D. ( 3 l_{2}-2 l_{1} ) |
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19 | Assertion (A): Rigidity modulus of a liquid is infinity. Reason (R): For a ductile material yield point and breaking point are separated by larger distance than for brittle materials on the stress-starin curve. A. Both assertion and reason are true and the reason is correct explanation of the assertion B. Both assertion and reason are true, but reason is not correct explanation of the assertion c. Assertion is true, but the reason is false D. Assertion is false, but the reason is true |
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20 | Which of the following are close to ideal plastics? This question has multiple correct options A. Putty B. Mudd c. Rubber band D. None of the above |
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21 | Total elongation of the wire. | 11 |

22 | When temperature of a gas is ( 20^{circ} mathrm{C} ) and pressure is changed from ( boldsymbol{P}_{1}=mathbf{1} . mathbf{0} times ) ( 10^{5} P a ) to ( P_{2}=1.65 times 10^{5} P a ) and the volume is changed by ( 10 % ). The bulk modulus is: A ( .1 .55 times 10^{5} P a ) В. ( 1.15 times 10^{5} P a ) c. ( 1.4 times 10^{5} P a ) D. ( 1.01 times 10^{5} mathrm{Pa} ) |
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23 | When a rubber cord is stretched, the change in volume with respect to change in its linear dimensions is negligible. The Poisson’s ratio for rubber is ( A ) B. 0.25 ( c cdot 0.5 ) D. 0.75 |
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24 | Two opposite forces ( F_{1}=120 N ) and ( F_{2}=80 N ) act on an elastic plank of modulus of elasticity ( boldsymbol{Y}=boldsymbol{2} times ) ( 10^{11} N m^{2} ) and length ( l=1 m ) placed over a smooth horizontal surface. The cross-sectional area of the planck is ( S=0.5 m^{2}, ) the change in length of the plank is ( boldsymbol{x} times mathbf{1 0}^{-9} boldsymbol{m} ) A . 1.0 B. 1.5 c. ( 1 . ) D. 1. |
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25 | A ( 14.5 mathrm{kg} ) mass, fastened to the end of a steel wire of unstretched length ( 1.0 mathrm{m} ) is whirled in a vertical circle with an angular velocity of 2 rev/s at the bottom of the circle. The cross-sectional area of the wire is ( 0.065 mathrm{cm}^{2} ). Calculate the elongation of the wire when the mass is at the lowest point of its path. |
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26 | ( A ) and ( B ) are two steel wires and the radius of ( A ) is twice that of ( B ), if they are stretched by the same load, then the stress on B is A. Four times that of A. B. Two times that of A c. Three times that of ( A ) D. Same as that A. |
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27 | The limit upto which the stress is directly proportional to strain is called A. elastic limit B. elastic fatigue c. elastic relaxation D. breaking limit |
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28 | A metal wire of length 1 m and crosssection area ( 2 m m^{2} ) and Young’s modulus of elasticity ( boldsymbol{Y}=mathbf{4} times ) ( 10^{11} N / m^{2} ) is stretched by ( 2 m m . ) Then A. the restoring force developed in the wire is 1600 N B. the energy density in the wire is ( 4 times 10^{5} mathrm{J} / mathrm{m}^{3} ) c. the restoring force developed in the wire is 400 N D. the total elastic energy stored in the wire is ( 1.6 ~ J ) |
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29 | If ( S ) is stress and ( Y ) is Young’s modulus of material of wire, then energy stored in the wire per unit volume is: ( mathbf{A} cdot 2 S^{2} Y ) в. ( frac{s}{Y x} ) c. ( frac{2 Y}{S^{2}} ) D. ( frac{s^{2}}{2 Y} ) |
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30 | Q Type your question. surrounded by an incompressible liquid in a cylindrical container. A massless piston of area ( A ) floats on the surface of the liquid. The magnitude of fractional change in the radius of the sphere ( left(frac{d R}{R}right) ) when a mass ( M ) is placed slowly on the piston to compress the liquid is: ( ^{mathrm{A}} cdot frac{M g}{3 A B} ) в. ( frac{M g}{A B} ) c. ( frac{3 M g}{A B} ) D. none of thes |
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31 | Q Type your question shown in Fig. The cross sectional area of ( A ) is half that of ( B ) and the Youngs modulus of ( A ) is twice that of ( B . A ) weight ( mathrm{W} ) is hung as shown. The value of ( x ) so that ( W ) produces equal stress in wires ( A ) and ( B ) is ( A cdot frac{L}{3} ) в. ( L ) ( overline{2} ) c. ( frac{2 L}{3} ) D. ( frac{3 L}{4} ) |
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32 | Substances that elongate considerably and undergo plastic deformation before they break are known as A. brittle substances B. breakable substances c. ductile substances D. all of these |
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33 | According to Hooke’s Law, the elongation produced in a body is : A. proportional to the force applied B. inversely proportional to the force applied c. constant D. independent of the force applied |
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34 | A steel wire of length ( L ) and area of cross-section A shrinks by ( Delta l ) during night. Find the tension developed at night if Young’s modulus is ( Y ) and wire is clamped at both ends A. ( frac{A Y L}{Delta l} ) в. ( A Y L ) c. ( A Y Delta l ) D. ( frac{A Y Delta l}{L} ) |
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35 | A uniform steel rod of length 1 m and area of cross section ( 20 mathrm{cm}^{2} ) is hanging from a fixed support. Find the increase in the length of the rod. ( left(Y_{text {steel}}=2.0 timesright. ) ( mathbf{1 0}^{11} boldsymbol{N m}^{-2}, boldsymbol{rho}_{text {steel}}=mathbf{7 . 8 5} times ) ( left.10^{3} K g m^{-3}right) ) A ( .1 .923 times 10^{-5} mathrm{cm} ) В. ( 2.923 times 10^{-5} mathrm{cm} ) c. ( 1 . .123 times 10^{-5} mathrm{cm} ) D. ( 3.123 times 10^{-5} mathrm{cm} ) |
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36 | The delay in recovery on removal of the deforming force is called |
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37 | A student performs an experiment to determine the Young’s modulus of a wire, exactly ( 2 mathrm{m} ) long, by Searle’s method. In a particular reading, the student measures the extension in the length of the wire to be ( 0.8 m m ) with an uncertainty of ( pm 0.05 mathrm{mm} ) at a load of exactly ( 1.0 k g . ) The student also measures the diameter of the wire to be ( 0.4 m m ) with an uncertainty of ±0.01 ( mathrm{mm} . ) Take ( mathrm{g}=9.8 mathrm{m} / mathrm{s}^{2} ) (exact). The Young’s modulus obtained from the reading is в. ( (2.0 pm 0.2) times 10^{11} mathrm{N} / mathrm{m}^{2} ) c. ( (2.0 pm 0.1) times 10^{11} mathrm{N} / mathrm{m}^{2} ) D. ( (2.0 pm 0.05) times 10^{11} mathrm{N} / mathrm{m}^{2} ) |
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38 | Length of a wire is increased by ( 1 mathrm{mm} ) on the application of a given load. If same load is applied to another wire of same material but of length and radius twice that of the first then increase in its length will be ( mathbf{A} cdot 2 m m ) в. ( frac{1}{2} m m ) ( mathrm{c} .4 mathrm{mm} ) D. ( frac{1}{4} m m ) |
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39 | A metal wire upon excess stress moves to a region of permanent set. Before yielding to the fracture stress, it undergoes an extension equal to twice its length in its plastic region. The nature of the metal is A . Brittle B. Ductile c. Perfectly elastic D. Perfectly plastic |
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40 | The bulk modulus of elasticity with increase in pressure A. increases B. decreases c. remains constant D. increases first up to certain limit and then decreases |
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41 | A gas undergoes a process in which its pressure ( P ) and volume ( V ) are related as ( boldsymbol{V} boldsymbol{P}^{n}= ) constant. The bulk modulus for the gas in this process is: A . np B. ( p^{1 / n} ) c. ( frac{p}{n} ) D. ( p^{n} ) |
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42 | short steel rods each of cross-sectional ( operatorname{area} 5 c m^{2} . ) The lower ends of ( A ) and ( B ) are welded to a fixed plate ( C D . ) The upper end of ( A ) is welded to the ( L- ) shaped piece ( boldsymbol{E F G}, ) which can slide without friction on upper end of ( boldsymbol{B} . mathbf{A} ) horizontal pull of ( 1200 N ) is exerted at ( G ) as shown. Neglect the weight of ( boldsymbol{E F G} ) Longitudinal stress in ( boldsymbol{A} ) is A. Tensile in nature and having magnitude ( 180 N / m^{2} ) B. Tensile in nature and having magnitude ( 240 N / m^{2} ) c. compressive in nature and having magnitude ( 180 N / c m^{2} ) D. Compressive in nature and having magnitude ( 240 N / c m^{2} ) |
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43 | The force-extension graph of a metal wire is shown. At which point on the graph does the metal wire stop obeying Hooke’s law? |
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44 | The steel wire can withstand a load up to ( 2940 mathrm{N} ). A load of ( 150 mathrm{kg} ) is suspended from a rigid support. The maximum angle through which the wire can be displaced from the mean position so that the wire does not break A . 30 B. 60 ( c .80 ) D. ( 85^{circ} ) |
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45 | One end of a uniform wire of length ( boldsymbol{L} ) and of weight ( W ) is attached rigidly to a point in the roof and ( W_{1} ) weight is suspended from looser end. If ( A ) is area of cross-section of the wire, the stress in the wire at a height ( frac{L}{4} ) from the upper end is ( mathbf{A} cdot frac{W_{1}+W}{a} ) B. ( frac{W_{1}+3 W / 4}{a} ) c. ( frac{W_{1}+W / 4}{a} ) D. ( frac{4 W_{1}+3 W}{a} ) |
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46 | A wire fixed at the upper end stretches by length ( l ) by applying a force ( F ). The work done in stretching is: ( ^{A} cdot frac{F}{2 l} ) в. ( F l ) c. ( frac{2 F}{l} ) D. ( frac{F l}{2} ) |
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47 | Modulus of rigidity is defined as the ratio of A . Longitudinal stress to longitudinal strain B. Volumetric stress to volumetric strain c. shear stress to shear strain D. Linear stress to linear strain |
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48 | If the temperature of a wire of length ( 2 m ) area of cross-section ( 1 mathrm{cm}^{2} ) is increased from ( 0^{circ} C ) to ( 80^{circ} C ) and is not allowed to increase in length, then force required for it is ( left{boldsymbol{Y}=mathbf{1 0}^{mathbf{1 0}} boldsymbol{N} / boldsymbol{m}^{2}, boldsymbol{alpha}=right. ) ( left.10^{-6} /^{o} Cright} ) A . ( 80 N ) в. ( 160 N ) c. ( 400 N ) D. ( 120 N ) |
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49 | If the compressibility of water is ( sigma ) (sigma) per unit atmospheric pressure, then the decrease in volume V due to ( p ) atmospheric pressure will be : A. ( sigma V / p ) в. ( sigma p V ) ( mathbf{c} cdot sigma / p V ) D. ( sigma p / V ) |
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50 | A metallic rod of length ( l ) and cross sectional area ( A ) is made of a material of Young modules ( Y ). If the rod is elongated by an amount ( y, ) then the work done is proportional to A ( . y ) B. ( frac{1}{y} ) c. ( y^{2} ) D. ( frac{1}{y^{2}} ) |
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51 | The stress-strain curve shows a straight line along the third quadrant What does it depict A. Elongation in the negative ( x ) – direction B. compression c. Negative Youngs modulus D. Decreasing stress |
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52 | The maximum load a wire can withstand without breaking, when its length is reduced to half of its original length, will A. be double B. be half c. be four times D. remains same |
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53 | When the rubber band is stretched, it heats up and it cools down if it is suddenly released. This is depicted using A. the area under the hysteresis curve B. the x intercept of the hysteresis curve c. the y intercept of the hysteresis curve D. the saturation point of the hysteresis curve |
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54 | The length of a wire increases by ( 1 % ) on loading a ( 2 k g ) weight on it. Calculate the linear strain in the wire. | 11 |

55 | What is the density of lead under a pressure of ( 2.0 times 10^{8} N / m^{2}, ) if the bulk modulus of lead is ( 8.0 times 10^{9} N / m^{2} ) Also, the initial density of lead is ( 11.4 g / c m^{3} ) A ( cdot 12.89 g / c m^{3} ) в. ( 14 g / mathrm{cm}^{3} ) c. ( 11.69 g / c m^{3} ) D. Zero |
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56 | Which of the following affects the elasticity of a substance? A. Hammering and annealing B. Change in temperature c. Impurity in substance D. All of the above |
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57 | An ideal spring with a pointer attached to its end, hangs next to a scale. With a ( 100 mathrm{N} ) weight attaches and in equilibrium, the pointer indicates ’40 on the scale as shown. Using a ( 200 mathrm{N} ) weight instead in’60’ on the scale. Using an unknown weight ‘X’ instead results in ’30’ on the scale. The value of X is ( A cdot 80 N ) B. 60 N ( c cdot 50 N ) D. ( 40 mathrm{N} ) |
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58 | A wire of cross-sectional area ( 4 times 10^{-4} m^{2} ) modulus of elasticity ( 2 times 10^{11} N / m^{2} ) and length ( 1 m ), is stretched between two vertical rigid poles. A mass of ( 1 mathrm{kg} ) is suspended at its center. If the angle it makes with the horizontal is ( frac{1}{2} times 10^{-x} ) rad. Find ( x ) |
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59 | The diagram shows stress v/s strain curve for the materials ( A ) and ( B ). From the curve we infer that A. A is brittle but B is ductile B. A is ductile but B is brittle c. Both A and B are ductile D. Both A and B are britlle |
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60 | The shearing strain is equivalent to A. Tensile strain + compression strain B. Tensile strain – compression strain C. Shear strain + tensile strain D. Shear strain + compression strain |
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61 | Which of the following is not dimension less A. Poission ratio B. Sharing strain c. Longitudinal strain D. Volume stress |
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62 | Two wires are made of the same material and have the same volume. However wire 1 has cross-sectional area ( A ) and wire 2 has cross-sectional area 3 A. If the length of wire 1 increased by ( Delta x ) on applying force ( F, ) how much force is needed to stretch wire 2 by the same amount? A ( .4 F ) в. ( 6 F ) ( c .9 F ) D. ( F ) |
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63 | A wire that obeys Hooke’s law is of length ( l_{1} ) when it is in equilibrium under a tension ( F_{1} ). Its length becomes ( l_{2} ) when the tension is increased of ( F_{2} ) The energy stored in the wire during this process is B – ( frac{1}{4}left(F_{2}+F_{1}right)left(l_{2}-l_{1}right) ) c. ( frac{1}{4}left(F_{2}-F_{1}right)left(l_{2}-l_{1}right) ) D – ( frac{1}{2}left(F_{2}-F_{1}right)left(l_{2}-l_{1}right) ) |
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64 | An iron rod of length ( 2 m ) and cross- sectional area of ( 50 mathrm{mm}^{2} ) stretched by ( 0.5 m m, ) when a mass of ( 250 k g ) is hung from its lower end. Young’s modulus of iron rod is A ( cdot 19.6 times 10^{20} N / m^{2} ) В. ( 19.6 times 10^{18} mathrm{N} / mathrm{m}^{2} ) C. ( 19.6 times 10^{10} N / m^{2} ) D. ( 19.6 times 10^{15} N / m^{2} ) |
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65 | f the brass wire were replaced by another brass wire of diameter 1 m ( m ) where should the mass be suspended so that ( A B ) would remain horizontal? ( mathbf{A} cdot x=0.06 m ) В . ( x=0.12 ) т c. ( x=0.24 m ) D. ( x=0.48 m ) |
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66 | One end of a slack wire (Youngs modulus ( Y, ) length ( L ) and cross sectional area ( A ) ) is clamped to a rigid wall and the other end to a block (mass m) which rests on a smooth horizontal plane. The block is set in motion with a speed v. What is the maximum distance the block will travel after the wire becomes taut? A ( cdot v sqrt{frac{m L}{A Y}} ) B. ( v sqrt{frac{2 m L}{A Y}} ) c. ( v sqrt{frac{m L}{2 A Y}} ) D ( cdot L sqrt{frac{m v}{A Y}} ) |
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67 | The lower edge of a square slab of side ( 50 mathrm{cm} ) and thickness ( 20 mathrm{cm} ) is rigidly fixed to the base of a table. A tangential force of ( 30 mathrm{N} ) is applied to the slab. If the shear moduli of the material is ( 4 times ) ( 10^{10} N / m^{2}, ) then displacement of the upper edge, in maters is? A ( .4 times 10^{-12} ) В. ( 4 times 10^{-10} ) c. ( 6 times 10^{-10} ) D. ( 6 times 10^{-12} ) E . ( 8 times 10^{-10} ) |
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68 | Two wires of same material and same diameter have lengths in the ratio 2: 5 They are stretched by the same force. The ratio of work done in stretching them is : A .5: 2 B. 2:5 ( c cdot 1: 3 ) D. 3: |
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69 | Define Young’s modulus. | 11 |

70 | A toy cart is tied to the end of an unstretched string of length ‘L’. When revolved, the toy card moves in horizontal circle with radius ‘2 ( l ) ‘ and time period ( T . ) If it is speeded until it moves in horizontal circle of radius ‘3 ( l^{prime} ) with period ( T_{1}, ) relation between ( T ) and ( T_{1} ) is (Hooke’s law is obeyed) ( ^{mathbf{A}} cdot_{T_{1}}=frac{2}{sqrt{3}} T ) в. ( T_{1}=sqrt{frac{3}{2}} T ) ( ^{mathbf{c}} cdot_{T_{1}}=sqrt{frac{2}{3}} T ) ( T_{1}=frac{sqrt{3}}{2} T ) |
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71 | Hooke’s law holds good up to A. Plastic point B. Limit of proportionality c. Breaking point D. None of these |
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72 | The formula that relates Bulk’s modulus with poisson’s ratio is В. ( Y=3 B(1-sigma) ) c. ( Y=3 B(1-2 sigma) ) D. ( Y=3 B(1+sigma) ) |
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73 | The work performed (in J) to make a hoop out of a steel band of length ( l= ) ( 2.0 m, ) width ( h=6.0 mathrm{cm}, ) and thickness ( boldsymbol{delta}=mathbf{2 . 0} boldsymbol{m m} ) is ( boldsymbol{x} times mathbf{1 0}^{mathbf{1}} boldsymbol{J} . ) The process is assumed to proceed within the elasticity range of the material. Find the value of ( boldsymbol{x} ) |
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74 | Six identical uniform rods ( P Q, Q R, R S, S T, T U ) and ( U P ) each weighing ( mathrm{W} ) are freely joined at their ends to form a hexagon. The rod ( P Q ) is fixed in a horizontal position and middle points of ( boldsymbol{P Q} ) and ( boldsymbol{S T} ) are connected by a vertical string. The tension in string is ( A cdot W ) В. ( 3 W ) ( c .2 W ) 0.44 |
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75 | The bulk modulus of a metal is ( 10^{10} N / m^{2} ) and Poisson’s ratio ( 0.20 . ) If average distance between the molecules is ( 3 A ) then the inter atomic force constant : A. ( 5.4 N / m ) в. ( 7.5 N / m ) c. ( 7.6 N / m ) D. 30N/m |
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76 | The increase in pressure required in ( k P a, ) to decrease the 200 litres volume of a liquid by ( 0.004 % ) is (bulk modulus of the liquid ( =2100 M P a) ) A . 8.4 B. 84 c. 92.4 D. 16 |
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77 | When a body undergoes a linear tensile strain if experience a lateral contraction also. The ratio of lateral contraction to longitudinal strain is known as A. Young’s modulus B. Bulk modulus c. Poisson’s law D. Hooke’s law |
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78 | Doubling the thickness of the wire A. doubles the young’s modulus of the wire B. halves the young’s modulus of the wire C. keeps the young’s modulus constant D. decreases the young’s modulus of the wire by ( 1 / 8 ) th |
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79 | Energy per unit volume in a stretched wire is equal to A. half of load x strain B. loadx strain c. stress ( times ) strain D. half of stress ( x ) strain |
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80 | A stress ( 10^{7} ) Pa produces a strain of ( 4 x ) ( 10^{-3} . ) The energy stored per unit volume of the body ( left(operatorname{in} mathrm{J} . mathrm{m}^{-3}right) ) is ( A cdot 2 times 10^{3} ) B. ( 2 times 10^{4} ) c. ( 2.5 times 10^{10} ) D. ( 0.8 times 10^{4} ) |
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81 | Hardness is the resistance of a metal to the penetration of another harder body which does not A. have poisson’s ratio less than 0 B. receive a permanent set. c. have low young’s modulus D. have high elastic point |
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82 | Which of the following is the graph showing stress-strain variation for elastomers? (1) (2) (3) (4) |
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83 | Ratio of transverse to axial strain is A. Toricelli ratio B. Poisson’s ratio c. Stoke’s ratio D. Bernoulli’s ratio |
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84 | What is Poisson’s ratio? | 11 |

85 | Assertion (A) : Silver is a ductile material, Reason (R): For a ductile material yield point and breaking point are separated by larger distance than for brittle materials on the stress-strain curve. A. Both assertion and reason are true and the reason is correct explanation of the assertion B. Both assertion and reason are true, but reason is not correct explanation of the assertion c. Assertion is true, but the reason is false D. Assertion is false, but the reason is true |
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86 | Which of the following is/are true about deformation of a material? A. Deformation capacity of the plastic hinge and resilience of the connections are essential for goodd plastic behavior B. Deformation capacity equations considering yield stress and gradient of moment c. Different materials have different deformation capacity D. All of the above |
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87 | Which of the following is a type of deformation?
This question has multiple correct options |
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88 | Assertion The stress-strain behaviour varies from material to material. Reason A rubber can be pulled to several times its original length and still returns to its original shape. A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion c. Assertion is correct but Reason is incorrect D. Both Assertion and Reason are incorrect |
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89 | To determine the Young modulus of a wire, several measurements are taken. In which row can the measurement not be taken directly with the stated apparatus? A. measurement: area of cross-section of wire apparatus : micrometer screw gauge B. measurement: extension of wire ; apparatus: vernier scale c. measurement: mass of load applied to wire ; apparatus : electronic balance D. measurement: original length of wire ; apparatus metre rule |
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90 | A sphere of radius ( R ) is submerged in water completely, what force should be imparted to the sphere, so that every point in it experiences a constant volume stress A. Force should be proportional to ( R ) B. Force should be proportional to ( 1 / R ) C. Force should be proportional to ( R^{2} ) D. Force should be proportional to ( 1 / R^{2} ) |
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91 | A liquid of bulk modulus ( k ) is compressed by applying an external pressure such that its density increases by ( 0.01 % . ) The pressure applied on the liquid is: A ( cdot frac{k}{10000} ) в. ( frac{k}{1000} ) c. ( 1000 k ) D. ( 0.01 k ) |
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92 | A ( 40 k g ) boy whose leg bones are ( 4 c m^{2} ) in area and ( 50 mathrm{cm} ) long falls through a height of ( 50 c m ) without breaking his leg bones. If the bones can stand a stress of ( 0.9 times 10^{8} N / m^{2} . ) Calculate Young’s Modulus for the material of the bone |
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93 | Assertion (A): Ductile metals are used to prepare thin wires. Reason (R) : In the stress-strain curve of ductile metals, the length between the points representing elastic limit and breaking point is very small. A. Both (A) and ( ( R ) ) are true and ( ( R ) ) is the correct explanation of (A) B. Both (A) and (R) are true and (R) is not correct explanation of (A) c. (A) is true but (R) is false. D. (A) is false but (R ) is true |
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94 | For a given material Young’s modulus is 2.4 times that of its rigidity modulus. Its Poisson’s ratio is A . 2.4 B. 1.2 ( c .0 .4 ) D. 0.2 |
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95 | The fractional change in the volume of oil is 1 percent when a pressure of ( 2 times 10 ) ( 7 mathrm{N} / mathrm{m}^{2} ) is applied. The bulk modulus and its compressibility is : A ( cdot 3 times 10^{8} mathrm{N} / mathrm{m}^{2}, 0.33 times 10^{-9} mathrm{m}^{2} / mathrm{N} ) B. ( 5 times 10^{9} mathrm{N} / mathrm{m}^{2}, 2 times 10^{-10} mathrm{m}^{2} / mathrm{N} ) c. ( 2 times 10^{9} mathrm{N} / mathrm{m}^{2}, 5 times 10^{-10} mathrm{m}^{2} / mathrm{N} ) D. 3 ( times 10^{+9} mathrm{N} / mathrm{m}^{2}, 5 times 10^{-9} mathrm{m}^{2} / mathrm{N} ) |
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96 | Four wires made of same materials are stretched by the same load. Their dimensions are given below. The one which elongates more is? A. Wire of length ( 1 mathrm{m} ) and diameter ( 1 mathrm{mm} ) B. Length 2m, diameter 2 mm c. Length 3m, diameter 3 mm D. Length 0.5m, diameter 0.5mm |
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97 | A steel wire of ( 4.0 mathrm{m} ) in length is stretched through ( 2.0 mathrm{mm} ). The crosssectional area of the wire is ( 2.0 m m^{2} .1 ) Young’s modulus of steel is ( 2.0 times ) ( mathbf{1 0}^{mathbf{1 1}} mathbf{N} / mathbf{m}^{mathbf{2}} ) find (i) the energy density of wire (ii) the elastic potential energy stored in the wire. |
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98 | A structure steel rod has a radius of ( 10 m m ) and a length of ( 1.0 m . A 100 k N ) force stretches it along its length. (b) elongation. and Calculate ( ( a ) ) stress. (c) strain on the rod. Young’s modulus, of stricture steel is ( 2.0 times 10^{11} N m^{-2} ) |
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99 | There are two wires of the same material. There radii and lengths are both in the ratio ( 1: 2 . ) If the extensions produce dare equal, what is the ratio of the loads? A .1: 2 B . 2: 1 c. 1: 4 D. 4: 1 |
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100 | If the strain in wire is not more than ( 10^{-3} ) and ( Y=4 times 10^{11} N / m^{2}, ) diameter of wire is ( 1 mathrm{mm} ), then the maximum weight that can be hanged from wire is then:- ( mathbf{A} cdot 157 N ) в. ( 314 N ) c. ( 120 N ) D. ( 160 N ) |
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101 | A steel wire is ( 1 mathrm{m} ) long and ( 1 mathrm{mm}^{2} ) in the area of cross-section. If it takes ( 200 N ) to stretch the wire by 1 m ( m ), the force that will be required to stretch the wire of the same material and cross- sectional area from a length of ( 10 m ) to ( 1002 mathrm{cm} ) A. ( 100 N ) B. ( 200 N ) c. ( 400 N ) D. 2000N |
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102 | topp ( Q ) the atoms are almost lacking in mobility, their kinetic energy is negligibly small. It is this lack of mobility which makes a solid rigid. This rigidity is the cause of elasticity in solids. In some solids such as steel, the atoms are bound together by larger nter-atomic forces than in solids such as aluminum. Thus, the elastic behavio varies from solid to solid. Even fluids exhibit elasticity. All material bodies get deformed when subjected to a suitable force. The ability of a body to regain its original shape and size is called elasticity. The deforming force per unit area is called stress. The change in the dimension (length, shape or volume) divided by the original dimension is called strain. The three kinds of stress are tensile stress shearing stress, and volumetric stress. The corresponding strains are called tensile strain, shearing strain and volume strain. According to Hooke’s law, within the elastic limit, stress is proportional to strain. The ratio stress/strain is called the modulus of elasticity. The figure shows the strain-stress graphs for materials A and B. From the graph it follows that: A. material A has a higher Young’s mod B. material B has a higher Young’s modulus than ( c ) es for |
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103 | If ( S ) is stress and ( Y ) is the Young’s modulus of the material of a wire, the energy stored in the wire per unit volume is : ( mathbf{A} cdot 2 S^{2} Y ) B. ( frac{s^{2}}{2 Y} ) c. ( frac{2 Y}{S^{2}} ) D. ( frac{s}{2 Y} ) |
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104 | The increase in the length of a wire on stretching is ( 0.025 % ). If its Poisson’s ratio is ( 0.4, ) then the percentage decrease in the diameter is : A . 0.01 B. 0.02 c. 0.03 D. 0.04 |
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105 | Write Copper, Steel, Glass and Rubber in order of increasing coefficient of elasticity A. Steel, Rubber, Copper, Glass B. Rubber. Copper, Glass, Steel c. Rubber. Glass, steel, Copper D. Rubber. Glass, copper, Steel |
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106 | According to Hooke’s law of elasticity, if stress is increased, then the ratio of stress to strain : A. becomes zero B. remains costant c. decreases D. increases |
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107 | The length of a wire under stress changes by ( 0.01 % . ) The strain produced is A ( cdot 10^{-4} ) B. 0.01 c. 1 D. ( 10^{4} ) |
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108 | The value of ( tan (90-theta) ) in the graph gives : A. Young’s modulus of elasticity B. compressibility c. Shear strair D. Tensile strength |
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109 | Two blocks of masses ( m ) and ( M=2 m ) are connected by means of a metal wire of cross sectional area ( A ), passing over a frictionless fixed pulley as shown in figure. The system is then released. The stress produced in the wire is : ( A cdot frac{m g}{A} ) в. ( frac{2 m g}{3 A} ) ( c ) |
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110 | The elastic limit of an elevator cable is ( 2 times 10^{9} N / m^{2} . ) The maximum upward acceleration that an elevator of mass ( 2 times 10^{3} k g ) can have when supported by a cable whose cross-sectional area is ( 10^{-4} m^{2}, ) provided the stress in cable would not exceed half of the elastic limit would be A ( cdot 10 m s^{-2} ) B. ( 50 m s^{-2} ) ( mathrm{c} cdot 40 mathrm{ms}^{-2} ) D. Not possible to move up |
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111 | A ball falling in a lake of depth ( 200 mathrm{m} ) shows ( 0.1 % ) decrease in its volume at the bottom. What is the Bulk modulus of the ball material? (Take density of water ( =1000 mathrm{kg} / mathrm{m}^{3} ) ): A ( cdot 19.6 times 10^{8} N / m^{2} ) В. ( 19.6 times 10^{-10} mathrm{N} / mathrm{m}^{2} ) c. ( 19.6 times 10^{10} N / m^{2} ) D. ( 19.6 times 10^{-8} N / m^{2} ) |
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112 | The modulus of elasticity ( (boldsymbol{E}) ) and modulus of rigidity ( (C) ) are related by(m is the poissons ratio) ( ^{A} cdot C=frac{E}{3(m-2)} ) в. ( c=frac{E}{2(m+1)} ) ( c cdot c=frac{3(m-2)}{m E} ) D. ( c=frac{2(m+1)}{m E} ) |
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113 | A material has poisson’s ratio ( 0.5 . ) If ( a ) uniform rod of it suffers a longitudinal strain of ( 3 times 10^{-3}, ) what will be percentage increase in volume? A . २% B. 3% c. 5% D. 0% |
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114 | In Young’s double slit experiment, the two equally bright slits are coherent, but of phase difference ( frac{pi}{3} . ) If maximum intensity on the screen is ( I_{0} ), the intensity at the point on the screen equidistant from the slits is_- A . ( I_{0} ) в. ( frac{I_{0}}{2} ) c. ( frac{I_{0}}{4} ) D. ( frac{3 I_{0}}{4} ) |
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115 | A rod of mass ( ^{prime} M^{prime} ) is subjected to force ( t^{prime} ) and ( ^{prime} 2 f^{prime} ) at both the ends as shown in the figure. If young modulus of its material is ‘ ( y^{prime} ) and its length is ( L ) find total elongation of rod. A ( cdot frac{f l}{2 A y} ) в. ( frac{f l}{A y} ) c. ( frac{3 f l}{2 A v} ) D. ( frac{4 f l}{2 A y} ) |
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116 | A piece of copper having a rectangular cross-section of ( 15.2 mathrm{mm} times 19.1 mathrm{mm} ) is pulled in tension with ( 44,500 mathrm{N} ) force, producing only elastic deformation. Calculate the resulting strain? |
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117 | One end of a string of length ( L ) and cross-sectional area ( A ) is fixed to a support and the other end is fixed to a bob of mass ( m ). The bob is revolved in a horizontal circle of radius ( r ) with an angular velocity ( omega ) such that the string makes an angle ( theta ) with the vertical. The stress in the string is : A. ( frac{m g}{A} ) в. ( frac{m g}{A}left(1-frac{r}{L}right) ) c. ( frac{m g}{A}left(1+frac{r}{L}right) ) D. none of these |
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118 | Two strips of metal are riveted together at their ends by four rivets, each of diameter 6.0. What is the maximum tension,that can be exerted by the riveted strip if the shearing stress on the rivet is not to exceed ( 6.9 times 10^{7} ) pa ? Assume that each rivet is to carry onequarter of the load ( A cdot 3 ) в. 2.5 ( c cdot 4 ) D. 5 |
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119 | Which one of the following is true about Bulk Modulus of elasticity? A. It is the ratio of compressive stress to volumetric strain B. It is the ratio of compressive stress to linear strain c. It is the ratio of tensile stress to volumetric strain D. It is the ratio of tensile stress to linear strain |
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120 | Figure shows the stress-strain graphs for materials ( A ) and ( B ). From the graph it follows that: This question has multiple correct options A. material A has a higher Young’s modulus B. material B is more ductile ( c . ) material A is more brittle D. material A can withstand a greater stress |
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121 | The diameter of a brass rod is ( 4 m m ) and Youngs modulus of brass is ( 9 times ) ( 10^{10} N / m^{2} ) The force required to stretch it by ( 0.1 % ) of its length is A. ( 360 pi N ) Then в. ( 36 N ) c. ( 144 pi times 10^{3} N ) D. ( 36 pi times 10^{5} N ) |
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122 | A rod has poisson’s ratio ( 0.2 . ) If a rod suffers a longitudinal strain of ( 2 times 10^{-3} ) then the percentage change in volume is ( mathbf{A} cdot+0.12 ) в. -0.12 c. 0.28 D. -0.28 |
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123 | toppr Q Type your question Those of which not regaining are called plastic. There may be delay in the regaining in some materials. They are said to have got elastic aftereffect, since they have gone beyond the elastic limit. Repeated application and removal of force break at any point time and so a re avoided. The stress strain graph for two materials ( A ) and ( B ) is shown in the following figure: The time in which the two materials |
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124 | When an elastic material with Young’s modulus ( Y ) is subjected to stretching stress ( mathrm{S} ), elastic energy stored per unit volume of the material is ( ^{A} cdot frac{Y S}{2} ) B. ( frac{S^{2} Y}{2} ) c. ( frac{s^{2}}{2 Y} ) D. ( frac{s}{2 Y} ) |
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125 | Two wires of the same material and length but diameter in the ratio 1: 2 are stretched by the same load. The ratio of elastic potential energy per unit volume for the two wires is: A . 1: 1 B . 2: 1 c. 4: 1 D. 16: 1 |
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126 | A force of ( 10^{3} mathrm{N} ) stretches the length of a hanging wire by 1 millimeter. The force required to stretch a wire of same material and length but having four times the diameter by 1 millimeter is : ( mathbf{A} cdot 4 times 10^{3} mathrm{N} ) В ( cdot 16 times 10^{3} mathrm{N} ) c. ( frac{1}{4} times 10^{3} mathrm{N} ) D. ( frac{1}{16} times 10^{3} mathrm{N} ) |
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127 | Which of the following are correct? This question has multiple correct options A. The product of bulk modulus of elasticity and compressibility is 1 B. A rope 1cm in diameter breaks if the tension in it exceeds ( 500 N ). The maximum tension that may be given to a similar rope of diameter ( 2 mathrm{cm} ) is ( 2000 mathrm{N} ) C. According to Hooke’s law, the ratio of the stress and strain remains constant D. None of the above |
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128 | For a constant hydraulic stress on an object, the fractional change in the object’s volume ( (Delta V / V) ) and its bulk modulus (B) are related as: A ( cdot frac{Delta V}{V} propto B ) B. ( frac{Delta V}{V} propto frac{1}{B} ) c. ( frac{Delta V}{V} propto B^{2} ) D. ( frac{Delta V}{V} propto B^{-2} ) |
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129 | The shape of the string is drawn at ( t=0 ) and the area of the pulse enclosed by the string and the ( x ) -axis is measured. It will be equal to ( mathbf{A} cdot 2 c m^{2} ) B. ( 2.5 mathrm{cm}^{2} ) c. ( 4 mathrm{cm}^{2} ) D. ( 5 mathrm{cm}^{2} ) |
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130 | Two wires of same material & length are stored by the same force. Their masses are in the ratio 3: 2 . Find ratio of their elongation |
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131 | Let ( Y_{S} ) and ( Y_{A} ) represent Young’s modulus for steel and aluminium respectively lt is said that steel is more elastic than aluminium. Therefore, it follows that A. ( Y_{S}=Y_{A} ) в. ( Y_{S}Y_{A} ) ( stackrel{Y_{S}}{Y_{A}}=0 ) |
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132 | When a certain weight is suspended from a long uniform wire, its length increases by ( 1 mathrm{cm} ). If the same weight is suspended from another wire of the same material and length but having a diameter half of the first one, the increase in length will be ( mathbf{A} cdot 0.5 mathrm{cm} ) B. ( 2 c m ) ( c .4 c m ) D. 8 cm |
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133 | A wire of initial length ( L ) and radius ( r ) is stretched by a length ( l ). Another wire of same material but with initial length ( 2 L ) and radius ( 2 r ) is stretched by a length ( 2 l ). The ratio of the stored elastic energy per unit volume in the first and second wire is, ( A cdot 1: 4 ) B. 1: 2 c. 2: 1 D. 1: |
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134 | Bulk modulus of water is ( 2 times 10^{9} N / m^{2} ) The change in pressure required to increase the density of water by ( 0.1 % ) is A. ( $ $ 21 ) times ( 10^{wedge}{9} N /left{m^{wedge}{2} $ $right. ) B. $$21times 10^283N/ {mwedge(2) $$ c. ( $ $ 21 ) times ( 10^{wedge}{6} N /left{m^{wedge}(2) $ $right. ) D. $$21times 10^{223N/ } { m ^ { wedge } ( 2 ) $ $ |
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135 | For which range, during unloading the above curve will be retraced? A. up to ( O A ) only B. up to ( O B ) c. up to ( C ) D. never retraced its path |
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136 | When a force is applied on a wire of uniform cross-sectional area ( 3 times ) ( 10^{-6} m^{2} ) and length ( 4 m, ) the increase in length is 1 ( m m . ) Energy stored in it will be ( left(Y=2 times 10^{11} N / m^{2}right) ) A . ( 6250 J ) в. 0.177 Л c. ( 0.075 J ) D. ( 0.150 J ) |
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137 | Which of the following is a proper sequence? A. proportional limit, elastic limit, yielding, failure B. elastic limit, proportional limit, yielding, failure C . yielding, proportional limit, elastic limit, failure D. proportional limit, yielding, elastic limit, failure |
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138 | The Young’s modulus of the material of a wire is ( 6 times 10^{12} N / m^{2} ) and there is no transverse in it, then its modulus of rigidity will be A ( cdot 3 times 10^{12} N / m^{2} ) В . ( 2 times 10^{12} N / m^{2} ) C ( cdot 10^{12} N / m^{2} ) D. None of the above |
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139 | Copper of fixed volume ‘V’ is drawn into wire of length ‘I’. When this wire is subjected to a constant force ‘F’, the extension produced in the wire is ( ^{prime} Delta l^{prime} ) Which of the following graph is a straight line? A ( cdot Delta l v s frac{1}{l} ) B. ( Delta l v s l^{2} ) c. ( Delta l v s frac{1}{l^{2}} ) D. ( Delta l ) vs ( l ) |
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140 | Determine the value of ( x ) so that equal stresses are produced in each wire. A ( .1 .33 m ) 3. ( 2.5 mathrm{m} ) ( c .3 .6 m ) D. ( 2.1 m ) |
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141 | If the ratio of lengths, radii and Youngs modulii of steel and brass wires in the figure are a, b and c respectively. Then the corresponding ratio of increase in their lengths would be: A ( cdot frac{2 a}{h^{2}} ) в. ( frac{3 a}{2 b^{2} c} ) c. ( frac{3 c}{2 a b^{2}} ) D. ( frac{2 a^{2}}{b} ) |
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142 | The increase in pressure required to decrease the 200 litres volume of a liquid by ( 0.004 % ) in kPa is : (bulk modulus of the liquid ( =2100 M P a) ) A . 8.4 B. 84 c. 92.4 D. 168 |
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143 | If both the wires are pulled for the same extension, then: A. ( W_{A}>W_{B} ) в. ( W_{A}<W_{B} ) ( mathbf{c} cdot T_{A}<T_{B} ) D ( cdot Y_{A}<Y_{B} ) |
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144 | To determine the Young’s modulus of a wire, the formula is ( Y=frac{F}{A}, frac{L}{triangle l} ; ) where ( boldsymbol{L}= )length( , boldsymbol{A}=operatorname{area~of~cross-section~} ) of the wire, ( triangle boldsymbol{L}= ) Change in length of the wire when stretched with a force ( F ) The conversion factor to change it from CGS to MKS system is A . 1 B. 10 c. ( 0 . ) D. 0.01 |
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145 | An aluminium rod has a breaking strain ( 0.2 % . ) The minimum cross-sectional area of the rod in ( m^{2} ) in order to support a load of ( 10^{4} N ) is if (Young’s modulus is ( mathbf{7} times mathbf{1 0}^{mathbf{9}} mathbf{N m}^{-mathbf{2}} mathbf{)} ) ( mathbf{A} cdot 1.7 times 10^{-4} ) В. ( 1.7 times 10^{-3} ) c. ( 7.1 times 10^{-4} ) D. ( 1.4 times 10^{-4} ) |
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146 | A uniform rod of length L and mass M is pulled horizontally on a smooth surface with a force F. Determine the elongation of rod if Young’s modulus of the material is ( Y ) |
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147 | A structural steel rod has a radius of ( 10 m m ) and a length of ( 1.0 m . A 100 k N ) force stretches it along its length. Calculate (a) stress, (b) elongation, and (c) strain on the rod. Young’s modulus, of structural steel is ( 2.0 times 10^{11} N m^{2} ) |
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148 | The bulk modulus of elasticity for monoatomic ideal gas during an isothermal process is ( (mathrm{P}= ) pressure of the gas) A. ( P ) в. ( frac{2 P}{3} ) c. ( frac{5 P}{3} ) D. ( frac{7 P}{3} ) |
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149 | Which of the following shafts is stronger A. solid B. hollow c. cylindrical D. circular |
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150 | For a perfectly rigid body A. Young’s modulus is infinite and bulk modulus is zero B. Young’s modulus is zero and bulk modulus is infinite C. Young’s modulus is infinite and bulk modulus is also infinite D. Young’s modulus is zero and bulk modulus is also zero |
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151 | Hooke’s law states that under normal conditions A. Stress is inversely proportional to strain till elastic limit B. Stress is directly proportional to strain till elastic limit C. Stress is independent of strain D. Stress is proportional to elastic modulus |
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152 | A rubber ball is brought into ( 200 mathrm{m} ) deep water, its volume is decreased by ( 0.1 % ) then volume elasticity coefficient of the material of ball will be: ( left(text {Given } rho=10^{3} k g / m^{3} text { and } g=right. ) ( left.9.8 m s^{-2}right) ) A ( cdot 19.6 times 10^{8} N / m^{2} ) В. ( 19.6 times 10^{-10} N / m^{2} ) c. ( 19.6 times 10^{10} N / m^{2} ) D. ( 19.6 times 10^{-8} N / m^{2} ) |
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153 | A student plots graph from his readings on the determination of Young’s modulus of a metal wire but forgets to put the labels (figure). The quantities on ( X ) and ( Y ) -axes respectively may be This question has multiple correct options A. weight hung and length increased B. stress applied and length increased c. stress applied and strain developed D. length increased and the weight hung |
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154 | A ball of mass ‘m’ drops from a height ‘h which sticks to mass-less hanger after striking. Neglect overturning, find out the maximum extension in the rod. Assuming rod is massless |
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155 | Find the increase in pressure required to decrease the volume of water sample by ( 0.01 % ). Bulk modulus of water ( = ) ( 2.1 times 10^{9} N m^{-2} ) A ( cdot 4.3 times 10^{4} N / m^{2} ) B. ( 1.8 times 10^{7} N / m^{2} ) c. ( 2.1 times 10^{5} N / m^{2} ) D. ( 3.7 times 10^{4} N / m^{2} ) |
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156 | A metal wire is stretched by a load. The force-extension graph is shown. What is represented by the area under the whole graph? A. The change in gravitational potential energy of the wirt B. The energy that would be released from the wire if the final load was removed c. The energy transferred into heat energy in the wire D. The work done in stretching the wire |
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157 | In a wire stretched by hanging a weight from its end, the elastic potential energy per unit volume in terms of the longitudinal strain ( sigma ) and modulus of elasticity ( boldsymbol{Y} ) is A ( cdot frac{Y sigma^{2}}{2} ) в. ( frac{Y sigma}{2} ) ( ^{text {c. }} frac{2 Y sigma^{2}}{2} ) D. ( frac{Y^{2} sigma}{2} ) |
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158 | A wire of length ( L ) has a linear mass density ( mu ) and area of cross-section ( boldsymbol{A} ) and Young’s modulus ( Y ) is suspended vertically from a rigid support. If the mass ( M ) is hung at the free end of the wire, then the extension produced in the wire is: ( ^{mathbf{A}} cdot frac{mu g L^{2}+M g L}{2 Y A} ) ( ^{mathbf{B}} cdot frac{2 mu g L^{2}+M g L}{2 Y A} ) c. ( frac{mu g L^{2}+2 M g L}{2 Y A} ) ( frac{mu g L^{2}+M g L}{Y A} ) |
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159 | A cube of wood supporting ( 200 g m ) mass just in water ( (rho=1 g / c c) . ) When the mass is removed, the cube rises by ( 2 c m . ) The volume of cube is A . ( 1000 c c ) B. ( 800 c c ) c. ( 500 c c ) D. None of these |
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160 | A beam of cross section area ( A ) is made of a material of Young modulus Y. The beam is bent into the arc of a circle of radius R. The bending moment is proportional to A ( cdot frac{Y}{R} ) в. ( frac{Y}{R A} ) c. ( frac{R}{Y} ) D. ( Y R ) |
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161 | A wire of initial length ( L ) and radius ( r ) is stretched by a length ( l ). Another wire of same material but with initial length ( 2 L ) and radius ( 2 r ) is stretched by a length ( 2 l ). The ratio of stored elastic energy per unit volume in the first and second wire is: A .1: 4 B. 1: 2 c. 2: 1 D. 1: 1 |
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162 | A stress strain curve plotted for two wires are as shown. The labels 1 is the elastic point, 2 and 3 are the yield points wires ( A ) and ( B ). Which one is more ductile 4.4 B. B c. Both are brittle D. Both are ductile |
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163 | Which of the following relations is not correct? A ( cdot frac{Y}{eta}=2(1+sigma) ) в. ( frac{Y}{3 K}=1-2 sigma ) c. ( _{Y}=frac{9 K eta}{3 K+eta} ) D. ( frac{Y}{eta}+frac{Y}{3 K}=3 ) |
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164 | A ball of radius ( R ) and with bulk modulus of elasticity ( K ) is kept in a liquid inside a cylindrical container. It is pressed by putting a mass ( mathrm{m} ) on a massless piston of cross-sectional area A, then the fractional decrease in the radius of ball will be A ( cdot frac{M g}{3 K R} ) в. ( frac{M g}{3 K A} ) c. ( frac{M g}{K A} ) D. ( frac{M g K}{3 A R} ) |
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165 | If the longitudinal strain in a cubical body is three times the lateral strain then the bulk modulus ( K, ) Young’s modulus ( Y ) and rigidity ( eta ) are related by This question has multiple correct options A. ( K=Y ) в. ( eta=frac{3 Y}{8} ) c. ( Y=frac{3 eta}{8} ) D. ( Y=eta ) |
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166 | Which one of the following is the unit of compressibility A ( cdot m^{3} / N ) B . ( m^{2} / N ) ( mathrm{c} cdot m^{2}-N ) D. ( m / N ) |
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167 | The Young’s modulus of steel is twice that of brass. Two wires of sample length and of same area of cross section, one of steel and another of brass are suspended from the same roof. If we want the lower ends of the wires to be at the same level, then the weights added to the steel and brass wires must be in the ratio of: A. 1: 1 B. 1: 3 c. 2: 1 D. 4: 1 |
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168 | A composite wire consits of a steel wire of length ( 1.5 ~ m ) and a copper wire of length ( 2.0 m, ) with a uniform cross- sectional area of ( 2.5 times 10^{-5} m^{2} . ) It is loaded with a mass of 200 kg. Find the extension produced. Young’s modulus of copper is ( 1.0 times 10^{11} N m^{-2} ) and that of steel is ( 2.0 times 10^{11} N m^{-2} ) Take ( boldsymbol{g}=mathbf{9 . 8} boldsymbol{m} boldsymbol{s}^{-2} ) |
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169 | Discuss the behavior of wire under increasing load |
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170 | The stress-strain plot for wires made of two materials (I and II) is presented schematically in the accompanying figure. The points ( C_{I} ) and ( C_{I I} ) represent fracture points of the two materials and II respectively. It can be concluded from these graphs that A. material I has Young’s modulus larger than that of materia B. the linear region of material I extends to a larger valu of stress than that of material II c. both materials I and II are equally brittle D. material l is more ductile than materia |
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171 | The plasticity behaviour of a material determines the A. elastic behavior of the material B. resistance of the material to electric fields C. viscous behavior of the material and is irrecoverable. D. resistance of the material to magnetic fields |
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172 | Determine the pressure required to reduce the given volume of water by ( 2 % ) Bulk modulus of water is ( 2.2 times ) ( 10^{4} N m^{-2} ) A ( cdot 4.4 times 10^{7} mathrm{Nm}^{-2} ) В. ( 2.2 times 10^{7} N m^{-2} ) c. ( 3.3 times 10^{7} mathrm{Nm}^{-2} ) D. ( 1.1 times 10^{7} N m^{-2} ) |
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173 | The stress ( (y) ) and the strain ( (x) ) are measured for a wire by adding loads to one end of the wire and the other end suspended. They follow an equation ( y=3 x+1 ) from ( x=0 ) to 3 and ( y=-4(x- ) 3) ( ^{2}+10 ) for ( x>3 ). In which region is Hooke’s law valid A ( . x=0 ) to 3 B. ( x=3 ) ( c cdot x>3 ) D. for all values of ( x ) |
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174 | A solid sphere of radius ( 20 mathrm{cm} ) is subjected to a uniform pressure of ( 10^{6} ) ( N m^{-2} . ) If the bulk modulus is ( 1.7 times ) ( 10^{11} N m^{-2}, ) the decrease in the volume of the solid is approximately equal to: A ( cdot 0.2 mathrm{cm}^{3} ) В. ( 0.3 mathrm{cm}^{3} ) ( mathrm{c} cdot 0.4 mathrm{cm}^{3} ) D. ( 0.5 mathrm{cm}^{3} ) |
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175 | A metal string is fixed between rigid supports. It is initially at negligible tension. Its Young’s modulus is ( Y ) density is ( rho ) and coefficient of linear expansion is ( alpha ). It is now cooled through a temperature ( t, ) transverse waves will move along it with a speed of A ( cdot sqrt{frac{Y alpha t}{rho}} ) B ( cdot Y sqrt{frac{alpha t}{rho}} ) c. ( alpha sqrt{frac{Y t}{rho}} ) D ( cdot t sqrt{frac{rho}{Y alpha}} ) |
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176 | Copper of fixed volume ‘v; is drawn into wire of length ‘I. When this wore is subjected to a constant force ‘F’, the extension produced in the wire is ‘ ( Delta l ) Which of the following graphs is a straight line? A ( cdot Delta l ) versus ( frac{1}{i} ) B. ( Delta l ) versus ( l^{2} ) c. ( Delta l ) versus ( frac{1}{l^{2}} ) D. ( Delta l ) versus ( l ) |
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177 | The valve ( V ) in the bent tube is initially kept closed. Two soap bubbles ( boldsymbol{A} ) (smaller) and ( B ) (larger) are formed at the two open ends of the tube. ( V ) is now opened and air can flow freely between the bubbles. A. There will be no change in the size of the bubbles B. The bubbles will become of equal size c. ( A ) will become smaller and ( B ) will become larger D. The sizes of ( A ) and ( B ) will be interchanged |
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178 | The property required for propagation of transverse wave is : A. longitudinal strain B. lateral strain c. shearing strain D. poisson’s ratio |
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179 | The theoretical limits of poisson’s ratio lies between -1 to 0.5 because A. Shear modulus and bulk’s modulus should be positive B. Bulk’s modulus is negative during compression c. Shear modulus is negative during compression D. Young’s modulus should be always positive |
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180 | Two identical wires are suspended from a roof, but one is of copper and other is of iron. Young’s modulus of iron is thrice that of copper. The weights to be added on copper and iron wires so that the ends are on the same level must be in the ratio of A .1: 3 B. 2: c. 3: 1 D. 4: 1 |
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181 | Three fluids 1,2 and 3 have Bulk Moduli of ( k 1, k 2 ) and ( k 3 ) respectively. If ( k 1>k 2> ) k3, which liquid will have the highest compressibility A . liquid 1 B. liquid 2 c. liquid 3 D. theyll have equal compressibilities |
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182 | The dimensions of two wires ( A ) and ( B ) are the same. But their materials are different, Their load- extension graphs are shown. If ( Y_{A} ) and ( Y_{B} ) are the values of Young’s modulus of elasticity of ( A ) and ( B ) respectively then : A. ( Y_{A}>Y_{B} ) В. ( Y_{A}<Y_{B} ) ( mathbf{c} cdot Y_{A}=Y_{B} ) ( mathbf{D} cdot Y_{B}=2 Y_{A} ) |
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183 | A wire is stretched ( 1 mathrm{mm} ) by a force of 1 kN. How far would a wire of the same material and length but of four times that diameter he stretched by the same force? ( ^{mathbf{A}} cdot frac{1}{2} mathrm{mm} ) в. ( frac{1}{4} mathrm{mm} ) c. ( frac{1}{8} mathrm{mm} ) D. ( frac{1}{16} mathrm{mm} ) |
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184 | Two wires, one of copper and other of steel of equal length are suspended by the given load. The area of cross section of copper is twice that of steel. What will be the ratio of the stress in copper to steel wires ( A cdot 2 ) B. 4 ( c .0 .25 ) D. 0.5 |
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185 | Find the increase in pressure required to decrease the volume of a water sample by ( 0.01 % . ) Bulk modulus of water ( =2.1 times 10^{9} N m^{-2} ) |
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186 | airplane shaped cars attached to steel rods. Each rod has a length of ( 20.0 mathrm{m} ) and a cross-sectional area of ( 8.00 mathrm{cm}^{2} ) Young’s modulus for steel is ( 2 times ) ( 10^{11} N / m^{2} ) When operating, the ride has a maximum angular speed of ( sqrt{19 / 5} ) rad/s. How much is the rod stretched (in ( mathrm{mm} ) ) then? A . ( 0.38 mathrm{mm} ) B. ( 0.55 mathrm{mm} ) ( c cdot 0.45 mathrm{mm} ) D. 0.34 |
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187 | A piece of copper wire has twice the radius of steel wire. One end of the copper wire is joined to one end of steel wire so that both of them can be subjected to the same longitudinal force. ( Y ) for steel is twice that of copper. When the length of copper wire is increased by ( 1 % ), the steel wire will be stretched by A . 2% of its original length B. 1% of its original length c. ( 4 % ) of its original length D. 0.5% of its original length |
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188 | Calculate the diameter of the brass wire A ( .2 .1 times 10^{-4} mathrm{m} ) 3. ( 4.2 times 10^{-4} mathrm{m} ) c. ( 8.4 times 10^{-4} mathrm{m} ) D. ( 16.8 times 10^{-4} mathrm{m} ) |
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189 | Two wires of the same material and Iength but diameter in the ratio 1: 2 are stretched by the same force. The ratio of potential energy per unit volume for the two wires when stretched will be : A . 1: B. 2: ( c cdot 4: 1 ) D. 16: 1 |
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190 | A mass ( M ) attached to a spring oscillates with a period of 2 seconds. If the mass is increased by ( 2 k g ), the period increases by 1 second. Find the initial mass, assuming that Hooke’s law is obeyed. |
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191 | A wire is subjected to a longitudinal strain of ( 0.05 . ) If its material has a Poisson’s ratio ( 0.25, ) the lateral strain experienced by it is A. 0.00625 B. 0.125 c. 0.0125 D. 0.0625 |
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192 | State Hooke’s law, with graphical representation? | 11 |

193 | Change in shape of a body caused by the application of stress is called: A . rigidity B. elasticity c. sheer D. deformation |
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194 | An iron bar (Young’s modulus ( = ) ( left.10^{11} N / m^{2}, alpha=10^{-6} /^{circ} Cright) 1 m ) long and ( 10^{-3} m^{2} ) in area is heated from ( 0^{circ} C ) to ( 100^{circ} mathrm{C} ) without being allowed to bend or expand. Find the compressive force in newtons developed inside the bar |
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195 | Define the term malleability | 11 |

196 | ends so that it lies horizontally and without tension. A weight ( W ) is suspended from the middle point of the wire. The vertical depression is (Young’s modulus is ( Y ).) A ( cdot sqrt{frac{2 T l^{2}}{4 A Y}+frac{T^{2} l^{2}}{4 A^{2} Y^{2}}} ) B. ( sqrt{frac{2 T l^{2}}{4 A Y}-frac{T^{2} l^{2}}{4 A^{2} Y^{2}}} ) c. ( sqrt{frac{2 T l^{2}}{4 A Y}} ) D. ( frac{T l}{2 A Y} ) |
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197 | Equal torsional torques act on two rods X and Y having equal length but the diameter of ( Y ) is twice that wire ( X . ) If ( theta_{x} ) and ( theta_{y} ) are angles of twist, A ( cdot theta_{x}=frac{1}{2} theta_{y} ) в. ( quad theta_{x}=frac{1}{4} theta_{y} ) ( mathbf{c} cdot_{theta_{y}}=frac{theta_{x}}{8} ) D. ( _{theta_{y}}=frac{1}{16} theta_{x} ) |
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198 | Suppose the object in figure shown is the brass plate of an outdoor sculpture. If experiences shear forces as a result of an earthquake. The frame is ( 0.80 m ) and ( 0.50 c m ) thick. Calculate the shear strain produced in this object if the displacement x is 0.16mm (Shear modulus=( left.3.5 times 10^{10} P aright) ) |
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199 | Young’s modulus of a metal is ( 15 times 10^{11} ) Pa. If its poisson’s ratio is ( 0.4 . ) The bulk modulus of the metal in ( P a ) is : A ( cdot 25 times 10^{11} ) В . ( 2.5 times 10^{11} ) c. ( 250 times 10^{11} ) D. ( 0.25 times 10^{11} ) |
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200 | A metal cylinder of length ( L ) is subjected to a uniform compressive force ( F ) as shown in the figure. The material of the cylinder has Young’s modulus ( Y ) and Poisson’s ratio ( sigma ). The change in volume of the cylinder is: ( ^{mathrm{A}} cdot frac{sigma F L}{Y} ) B. ( frac{(1-sigma) F L}{Y} ) ( c ) ( D ) |
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201 | A wire elongates by I mm when a load ( mathbf{W} ) is hanged from it. If the wire goes over a pulley and two weights Weach are hung at the two ends,the elongation of the wire will be (in mm) A. zero B. I / 2 ( c ) D. 2 |
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202 | Two wires of the same material and length but diameters in the ration 1: 2 are stretched by the same force. The potential energy per unit volume for the two wires when stretched will be in the ratio : ( mathbf{A} cdot 16: 1 ) B . 4: 1 c. 2: 1 D. 1: 1 |
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203 | Poisson’s ratio of a material is 0.5 applied to wire of this material, these in the cross-section area increase in the length is. |
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204 | The length of a metal wire is ( L_{1} ) when the tension is ( T_{1} ) and ( L_{2} ) when the tension is ( T_{2} . ) The unstretched length of wire is : A ( cdot frac{L_{1}+L_{2}}{2} ) в. ( sqrt{L_{1} L_{2}} ) c. ( frac{T_{2} L_{1}-T_{1} L_{2}}{T_{2}-T_{1}} ) D. ( frac{T_{2} L_{1}+T_{1} L_{2}}{T_{2}+T_{1}} ) |
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205 | Two exactly similar wires of steel ( (mathrm{y}=20 ) ( x 10^{11} ) dyne ( / mathrm{cm}^{2} ) ) and copper ( (mathrm{y}=12 times 10 ) 11 dyne /cm ( ^{2} ) )are stretched by equal forces. If the total elongation is ( 1 mathrm{cm} ) elongation of copper wire is ( mathbf{A} cdot 3 / 5 mathrm{cm} ) в. ( 5 / 3 c m ) ( mathbf{c} cdot 3 / 8 c m ) D. ( 5 / 8 c m ) |
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206 | A copper rod with length ( 1.4 mathrm{m} ) and area of cross-section of ( 2 mathrm{cm}^{2} ) is fastened to a steel rod with length L and cross- sectional area ( 1 mathrm{cm}^{2} . ) The compound rod is subjected to equal and opposite pulls of magnitude ( 6.00 times 10^{4} mathrm{N} ) at its ends. What is the strain in each rod? ( left[boldsymbol{Y}_{text {steel}}=right. ) ( left.mathbf{2} times mathbf{1 0}^{11} boldsymbol{P a} ; boldsymbol{Y}_{C U}=mathbf{1 . 1} times mathbf{1 0}^{mathbf{1 1}} boldsymbol{P a}right] ) |
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207 | A material has Poisson’s ratio ( 0.2 . ) If a uniform rod of its suffers longitudinal strain ( 4.0 times 10^{-3}, ) calculate the percentage change in its volume. A . ( 0.15 % ) B . ( 0.02 % ) c. ( 0.24 % ) D. 0.48% |
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208 | An air filled balloon is at a depth of ( 2 mathrm{km} ) below the water level in an ocean. Determine the normal stress on the balloon [atmospheric pressure ( =10^{5} ) Pa ( ] ) A ( .190 times 10^{5} P a ) В. ( 196 times 10^{5} mathrm{Pa} ) c. ( 190 times 10^{7} P a ) D. ( 196 times 10^{7} P a ) |
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209 | If a rubber ball is taken at the depth of ( 200 m ) in a pool, its voulme decreases by ( 0.1 % ). If the density of the water is ( 1 times ) ( 10^{3} k g / m^{3} ) and ( g=10 m / s^{2}, ) then the volume elasticity in ( N / m^{2} ) will be A ( cdot 10^{8} ) B . ( 2 times 10^{8} ) ( c cdot 10^{9} ) D. ( 2 times 10^{9} ) |
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210 | A wire suspended vertically is stretched by a ( 20 mathrm{kg} f ). Applied to its free end. The increase in length of the wire is 2 mm. The energy stored in the wire is ( left(g=10 m s^{-2}right) ) B. ( 0.2 J ) c. ( 0.4 J ) D. ( 5 J ) |
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211 | A thick rope of rubber of density ( 1.5 times ) ( 10^{3} mathrm{kg} / mathrm{m}^{3} ) and Young’s modulus ( 5 times ) ( 10^{6} mathrm{N} / mathrm{m}^{2}, 8 mathrm{m} ) length is hung from the ceiling of a room, the increases in its length due to its own weight is : ( left(g=10 mathrm{m} / mathrm{s}^{2}right) ) A ( .9 .6 times 10^{-2} mathrm{m} ) в. ( 19.2 times 10^{-7} mathrm{m} ) c. ( 9.6 times 10^{-7} mathrm{m} ) D. ( 9.6 m ) |
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212 | A steel wire of length ( 4 m ) is stretched by a force of ( 100 N . ) The work done to increase the length of the wire by ( 2 m m ) is A . 0.4 .5 в. ( 0.2 J ) ( c .0 .1 J ) D. ( 1 . ) |
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213 | Assertion Strain causes the stress in an elastic body Reason An elastic rubber is more plastic in body. A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion C. Assertion is correct but Reason is incorrect D. Both Assertion and Reason are incorrect |
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214 | A hydraullic press contains ( 250 l i t ) of oil Find the decrease in volume of the oil when its pressure increases to ( 10^{7} ) Pa. The bulk modulus of the oil is ( boldsymbol{K}=mathbf{5} times ) ( mathbf{1 0}^{mathbf{5}} boldsymbol{P a} ) A. ( -0.8 l i t ) B. – ( 0.5 l i t ) c. ( -0.6 l i ) D. – ( 0.9 l i t ) |
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215 | Estimate the change in the density of water in ocean at a depth of ( 400 mathrm{m} ) below the surface. The density of water at the surface ( =1030 mathrm{kg} m^{-3} ) and the bulk modulus of water ( =2 times 10^{9} mathrm{N} m^{-2} ) |
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216 | Find the increment in the length of a steel wire of length ( 5 m ) and radius 6 mm under its own weight.Density of steel ( =8000 k g / m^{3} ) and Young’s modulus of steel ( =2 times 10^{11} N / m^{2} ) What is the energy stored in the wire? ( left(text { Take } g=9.8 m / s^{2}right) ) |
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217 | A copper rod of ( 88 mathrm{cm} ) and an aluminium rod of unknown length have their increase in length independent of increase in temperature. The length of aluminium rod is : ( left(alpha_{C u}=1.7 times 10^{-5} K^{-1} text {and } alpha_{A l}=right. ) ( left.2.2 times 10^{-5} K^{-1}right) ) ( mathbf{A} cdot 6.8 mathrm{cm} ) B. ( 113.9 mathrm{cm} ) ( mathbf{c} .88 mathrm{cm} ) D. ( 68 mathrm{cm} ) |
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218 | The dimensions of volume strain is: ( mathbf{A} cdot m^{3} ) B . ( 1 / m^{3} ) c. no dimensions D. ( m^{-} ) |
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219 | A uniform aluminium wire of length ( 3 mathrm{m} ) and area of cross-section ( 2 m m^{2} ) is extended through 12 mm. The energy stored in the wire is ( boldsymbol{Y}_{boldsymbol{A l}}=boldsymbol{7} times mathbf{1 0}^{mathbf{1 0}} boldsymbol{N} / boldsymbol{m}^{2} mathbf{)} ) A . ( 336 J ) B. 33.6 ( J ) c. ( 3.36 J ) D. 0.336 J |
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220 | Hooke’s law essentially defines A. stress B. strain c. yeild point D. elastic limit |
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221 | A copper wire of length ( 2.2 mathrm{m} ) and a stee wire of length ( 1.6 mathrm{m} ). both of diameter 3.0 ( mathrm{mm}, ) are connected end to end.When stretched by a load, the net elongation is found to be ( 0.70 mathrm{mm} . ) Obtain the load applied. |
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222 | The change in unit volume of a material under tension with increase in its poisson’s ratio will be A. Increase B. Decrease c. Remains same D. Initially increases and then decreases |
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223 | equal and opposite tensile forces ( F ) at its ends. Consider a plane through the bar making an angle ( theta ) with a plane at right angles to the bar. Then shearing stress will be maximum if ( boldsymbol{theta} ) ( mathbf{A} cdot 0^{circ} ) B ( .30^{circ} ) ( mathbf{c} cdot 45^{circ} ) D. ( 60^{circ} ) E .90 |
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224 | Assertion The maximum stress value below which the strain is fully recoverable is called the elastic limit. Reason All materials are elastic to some extent but the degree varies. A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion c. Assertion is correct but Reason is incorrect D. Both Assertion and Reason are incorrect |
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225 | The Poisson’s ratio of the material of a wire is0.25. If it is stretched by a force ( F ) the longitudinal strain produced in the wire is ( 5 times 10^{-4} ). What is the percentage increase in its volume? A . 0.2 B. ( 2.5 times 10^{-2} ) c. zero D . ( 1.25 times 10^{-6} ) |
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226 | A long, thin metal wire is suspended from a fixed support and hangs vertically. Masses are suspended from its lower end. The load on the lower end is increased |
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227 | The stress-strain curves for three wires of different materials are shown in figure, where ( P, Q ) and ( R ) are the elastic limits of the wires. The figure shows that A. Elasticity of wire ( P ) is maximum B. Elasticity of wire ( Q ) is maximum C. Elasticity of wire ( R ) is maximum D. None of the above is true |
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228 | Find the increase in pressure required to decrease volume of mercury by ( 0.001 % ). (Bulk modulus of mercury ( = ) ( left.2.8 times 10^{10} N / m^{2}right) ) |
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229 | Consider the following two statements ( A ) and ( B ) and identify the correct answer. A) When the length of a wire is doubled, the Young’s modulus of the wire is also doubled B) For elastic bodies Poisson’s ratio is ( + ) Ve and for inelastic bodies Poissons ratio is -Ve A. Both A & B are true B. A is true but B is false c. ( A ) is true but ( B ) is true D. Both A & B are false |
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230 | Let a steel bar of length ( ‘ l ) ‘, breadth ‘b’ and depth ‘d’ be loaded at the centre by a load ‘W’. Then the sag of bending of beam is (Y = Young’s modulus of material of steel) A ( frac{W l^{3}}{2 b d^{3} Y} ) в. ( frac{W l^{3}}{4 b d^{3} Y} ) c. ( frac{W l^{2}}{2 b d^{3} Y} ) D. ( frac{W l^{3}}{4 b d^{2} Y} ) |
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231 | A ( 8 mathrm{m} ) long string of rubber, having density ( 1.5 times 10^{3} mathrm{kg} / mathrm{m}^{3} ) and young’s modulus ( 5 times 10^{6} mathrm{N} / mathrm{m}^{2} ) is suspended from the ceiling of a room. The increase in its length due to its own weight will be ( left(g=10 mathrm{m} / mathrm{s}^{2}right) ) A. ( 9.6 times 10^{-2} mathrm{m} ) В. ( 19.2 times 10^{-5} mathrm{m} ) c. ( 9.6 times 10^{-3} mathrm{m} ) D. ( 9.6 mathrm{m} ) |
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232 | A uniform wire of length ( 1 ~ m ) and radius ( 0.028 mathrm{cm} ) is employed to raise a stone of density ( 2500 mathrm{kg} / mathrm{m}^{3} ) immersed in water. Find the change in elongation of wire when the stone is raised out of water. ( [text {massofstone}=mathbf{5} k g, ) Yofmaterialo |
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233 | The depression produced at the end of a ( 50 c m ) long cantilever on applying a load is 15 mm. The depression produced at a distance of ( 30 mathrm{cm} ) from the rigid end will be A. 3.24 ( mathrm{mm} ) B. 1.62 ( mathrm{mm} ) c. ( 6.48 mathrm{mm} ) D. 12.96 mm |
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234 | The elastic limit of steel cable is ( 3.0 times ) ( 10^{8} N / m^{2} ) and the cross-section area is ( 4 c m^{2} . ) Find the maximum upward acceleration that can be given to a ( 900 k g ) elevator supported by the cable if the stress is not to exceed one-third of the elastic limit.lf your answer is ( x, ) then mark the value of ( frac{x}{5} ) |
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235 | A light rod of length ( 2.00 m ) is suspended from the ceiling horizontally by means of two vertical wires of equal length tied to its ends. One of the wires is made of steel and is of cross section ( 10^{-3} m^{2} ) and the other is of brass of cross-section ( 2 times 10^{-3} m^{2} . ) Find out the position along the rod at which a weight may be hung to produce.(Youngs modulus for steel is ( 2 times 10^{11} mathrm{N} / mathrm{m}^{2} ) and for brass is ( 10^{11} mathrm{N} / mathrm{m}^{2} ) ) a) equal stress in both wires b) equal strains on both wires A. ( 1.33 m, 1 m ) в. ( 1 m, 1.33 m ) c. ( 1.5 m, 1.33 m ) D. ( 1.33 m, 1.5 m ) |
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236 | A tungsten wire of length ( 20 mathrm{cm} ) is stretched by ( 0.1 mathrm{cm} . ) Find the strain on the wire. A .0 .002 B. 0.005 ( c cdot 0.001 ) D. 0.004 |
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237 | When load is applied to a wire, the extension is 3 mm. The extension in the wire of same material and length but half the radius extended by the same load is : A. ( 0.75 mathrm{mm} ) B. ( 6 m m ) ( c .1 .5 m m ) D. ( 12.0 m m ) |
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238 | Time dependent permanent deformation is called A. Plastic deformation B. Elastic deformation c. Creep D. Anelastic deformation |
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239 | Which of the following is a proper sequence? A. Elastic region, Yielding, Fracture stress, Strain hardening, Necking B. Elastic region, Yielding, Strain hardening, Necking Fracture stress C. Elastic region, Strain hardening, Yielding, Necking , Fracture stress D. Elastic region, Strain hardening, Necking, Yielding, Fracture stress |
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240 | A sphere of radius ( 1.00 mathrm{cm} ) is placed in the path of a parallel beam of light of large aperture. The intensity of the light is ( 0.50 W mathrm{cm}^{-2} . ) If the sphere completely absorbs the radiation falling on it, find the force exerted by the light beam on the sphere. |
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241 | If a beam of metal supported at the two ends is loaded at the centre, then the depression at the centre will be proportional to A ( cdot gamma^{2} ) B. ( gamma ) ( c cdot frac{1}{gamma} ) D. ( frac{1}{gamma^{2}} ) |
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242 | A wire ( 2 mathrm{m} ) in length suspended vertically stretches by ( 10 mathrm{mm} ) when the mass of ( 10 mathrm{kg} ) is attached to the lower end. The elastic potential energy gain by the wire is? ( left(operatorname{take} g=10 m / s^{2}right) ) A . 0.5 B. 5 J c. 50 D. 500 J |
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243 | What are brittle bodies.?? | 11 |

244 | toppr Q Type your question removed. They are termed as elastic. Those of which not regaining are called plastic. There may be delay in the regaining in some materials. They are said to have got elastic aftereffect, since they have gone beyond the elastic limit. Repeated application and removal of force break at any point time and so are avoided. The stress strain graph for two materials ( A ) and ( B ) is shown in the following figure: The strength of the material ( A ) and ( B ) is ( boldsymbol{S}_{A} ) and ( boldsymbol{S}_{B}, ) respectively, while the longevity of plastic behaviour is ( L_{A} ) and ( boldsymbol{L}_{boldsymbol{B}} cdot ) Then A. ( S_{A}>S_{B}, L_{A}S_{B}, L_{A}>L_{B} ) D. ( S_{A}<S_{B}, L_{A}<L_{B} ) |
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245 | Among solids, liquids and gases, which posses the greatest bulk modulus? A. Solids B. Liquids c. Gases D. Both solids and liquids |
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246 | A uniform rod of length ( ^{prime} L^{prime} ) and density ( rho^{prime} ) is being pulled along a smooth floor with horizontal acceleration ( alpha ) as shown in the figure. The magnitude of the stress at the transverse cross-section through the mid-point of the rod is A ( frac{rho l alpha}{4} ) в. ( 4 rho l ) d ( c cdot 2 rho l ) D. ( frac{rho l alpha}{2} ) |
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247 | A metallic wire is stretched by suspending a weight to it. If ( alpha^{2} ) is the longitudinal strain and Y is its Young’s modulus of elasticity, then show that the elastic potential energy per unit volume is given by ( 1 / 2 Y^{2} ) |
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248 | ( 1 mathrm{cc} ) of water is taken from the surface to the bottom of a lake having depth 100m. If bulk modulus of water is ( 2.2 times ) ( 10^{9} N / m^{2} ) then decrease in the volume of the water will be A ( .4 .5 times 10^{-4} c c ) B. ( 8.8 times 10^{-4} c c ) c. ( 2.2 times 10^{-4} c c ) D. ( 1.1 times 10^{-4} c c ) |
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249 | The value of shear stress which is induced in the shaft due to applied couple varies A. from maximum at the centre to the zero at the circumference B. from zero at the centre to the maximum at the circumference c. from maximum at the centre to the minimum at the circumference D. from minimum at the centre to the maximum at the circumference |
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250 | The area enclosed in a hysteresis loop is A. strain energy per unit volume B. strain energy per unit volume absorbed in each loading cycle c. strain energy per unit volume released as heat in each loading cycle D. total strain energy |
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251 | For a material ( boldsymbol{Y}=mathbf{6 . 6} times mathbf{1 0}^{mathbf{1 0}} boldsymbol{N} / boldsymbol{m}^{2} ) and bulk modulus ( K 11 times 10^{10} N / m^{2} ) then its Poisson’s ratio is: A . 0.8 B. 0.35 ( c .0 .7 ) D. 0.4 |
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252 | The compressibility of water ( 4 times 10^{-5} ) per unit atmospheric pressure. The decrease in volume of 100 cubic centimeter of water under a pressure of 100 atmosphere will be: A ( .0 .4 c c ) в. ( 4 times 10^{-5} c c ) c. ( 0.025 c c ) D. ( 0.004 c c ) |
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253 | Calculate the extension of the steel wire and the energy stored in it. A . 45 J в. 4.5 Л c. ( 0.45 J ) D. 0.045 |
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254 | Modulus of elasticity for a perfectly elastic body is A. zero B. Infinity ( c ) D. can have any value |
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255 | Match the Column I with Column II Column (A) A body which regains its original shape after the removal of external forces (B) A body which does not regain its original shape after the removal Elastic of external forces. (C) A body which does not show any deformation on applying external forces (D) The property of the body to regain (s) Rigid its original configuration when the deforming forces are removed A. A-q, B-r, C-s, D-p B. A-p, B-q, C-r, D-s ( c cdot A-r, B-s, c-p, D-q ) D. A-s, B-p, C-q, D-r |
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256 | Assertion From the relation ( Y=frac{F l}{A Delta l}, ) we can say that, if length of a wire is doubled, its Young’s modulus of elasticity will also becomes two times. Reason Modulus of elasticity is a material property. A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion C. Assertion is correct but Reason is incorrect D. Assertion is incorrect but Reason is correct |
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257 | Two boys are holding a horizontal rod of length ( L ) and weight ( W ) through its two ends. If now one of the boys suddenly leaves he rod. what is the instantaneous reaction force experienced by the other boy? A ( cdot frac{W}{4} ) в. ( frac{W}{2} ) c. ( frac{3 W}{4} ) D. ( W ) |
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258 | A vertical metal cylinder of radius ( 2 mathrm{cm} ) and length ( 2 m ) is fixed at the lower end and a load of ( 100 k g ) is put on it. Find ( (a) ) the stress (b) the strain and (c) the compression of the cylinder. Young modulus of the metal ( =2 times 10^{11} N m^{-2} ) |
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259 | A steel wire of length ( 4 mathrm{m} ) and diameters ( 5 mathrm{mm} ) is stretched by ( 5 mathrm{kg} ) weight find the change in it’s diameter if ( boldsymbol{y}=mathbf{0 . 4} times ) ( mathbf{1 0}^{12} boldsymbol{d} boldsymbol{y} boldsymbol{n} e / boldsymbol{c m}^{2} ) and ( boldsymbol{sigma}=mathbf{0 . 3} ) |
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260 | Work done in stretching a wire through ( 1 mathrm{mm} ) is ( 2 J . ) What amount of work will be done for elongating another wire of same material, with half the length and double the radius of cross section, by 1 ( mathrm{mm} ? ) A .2 в. 4 c. 8 J D. 16 |
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261 | When the tension in a metal wire is ( T_{1} ) its length is ( l_{1}, ) when the tension is ( T_{2} ) its length is ( l_{2} ). The natural length of wire is : A. ( T_{1} l_{1}+T_{2} l_{2} ) в. ( frac{l_{1} T_{2}-l_{2} T_{1}}{T_{2}-T_{1}} ) ( overbrace{frac{l_{1} T_{2}-l_{2} T_{1}}{T_{2}+T_{1}}}^{text {in }} ) D. ( frac{T_{2}}{T_{1}}left(l_{1}+l_{2}right) ) |
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262 | If the volume of a wire remains constant when subjected to tensile stress, the value of Poisson’s ratio of the material of the wire is: A . ( 0 . ) B. 0.2 ( c .0 .4 ) D. 0.5 |
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263 | Two wires ( A ) and ( B ) of same length are made of same material. The figure represents the load F versus extension ( Delta x ) graph for the two wires. Then: A. the cross sectional area of A is greater than that of B. B. the elasticity of B is greater than that of A. C. the cross-sectional area of B is greater than that of A. D. the elasticity of A is greater than that of B. |
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264 | A tension of ( 22 mathrm{N} ) is applied to a copper wire of cross-sectional area ( 0.02 mathrm{cm}^{2} ) Young’s modulus of copper is ( 1.1 times ) ( 10^{11} N / m^{2} ) and Poisson’s ratio ( 0.32 . ) The decrease in cross sectional area will be: A ( cdot 1.28 times 10^{-6} mathrm{cm}^{2} ) в. ( 1.6 times 10^{-6} mathrm{cm}^{2} ) c. ( 2.56 times 10^{-6} mathrm{cm}^{2} ) D. ( 0.64 times 10^{-6} mathrm{cm}^{2} ) |
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265 | A thin metal sheet is being bent by or pounded in to a new shape. The process of being elastic to plastic behaviour is known as A. Yield B. Creep c. welding D. Tinkering |
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266 | 3. The adjacent graph shows the extra extension (Ax) of a wire length 1 m suspended from the top of a roof at one end with an extra load AW connected to the other end. If the cross-sectional area of the Alx10 m) wire is 10-m?, calculate the Young’s modulus of the material of 4 the wire. (a) 2 x 10′ N/m² 2 — (b) 2 x 10-11 N/m? >W(N) (c) 3 x 1013 N/m 0 20 40 60 80 (d) 2 x 1016 N/m² |
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267 | Assertion (A): Steel is more elastic than rubber. Reason (R): Under a given deforming force, steel is deformed less than rubber. A) Both Assertion and Reason are true and the reason is correct explanation of the assertion B)Both Assertion and Reason are true, but reason is not correct explanation of the assertion C) Assertion is true, but the reason is false D) Assertion is false, but the reason is true ( A cdot A ) B. B ( c cdot c ) ( D cdot D ) |
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268 | As compared to concrete, steel has compressive strength: A. 25 times less B. equal c. 25 times more D. 5 times more |
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269 | A tension of ( 20 N ) is applied to a copper wire of cross sectional area ( 0.01 c m^{2} ) Young’s Modulus of copper is ( 1.1 times ) ( 10^{11} N / m^{2} ) and Poisson’s ratio is 0.32 The decrease in cross sectional area of the wire is: ( mathbf{A} cdot 1.16 times 10^{-6} mathrm{cm}^{2} ) В. ( 1.16 times 10^{-5} mathrm{m}^{2} ) c. ( 1.16 times 10^{-4} m^{2} ) D. ( 1.16 times 10^{-3} mathrm{cm}^{2} ) |
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270 | The load versus elongation graph for four wires of the same materials is shown in the figure The thinnest wire is represented by the line A. ( 0 c ) B. OD ( c cdot O A ) D. OB |
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271 | Linear elastic deformation is governed by A. Hooke’s Law B. Euler Bernoulli’s equation c. both D. none |
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272 | The volume change of a solid copper cube ( 10 c m ) on an edge, when subjected to a pressure of ( 7 M P a ) is then (Bulk modulus of copper ( =140 G P a) ) A ( .5 times 10^{-2} mathrm{cm}^{3} ) В. ( 10 times 10^{-2} mathrm{cm}^{3} ) ( mathbf{c} cdot 15 times 10^{-2} c m^{3} ) D. ( 20 times 10^{-2} mathrm{cm}^{3} ) |
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273 | If the potential energy of a spring is ( V ) on stretching it by ( 2 mathrm{cm} ) then its potential energy when it is stretched by ( 10 mathrm{cm} ) will be A. v/25 B. 5 v c. v/ 5 D. 25 V |
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274 | A 10 meter long thick rubber pipe is suspended from one of its ends. The extension produced in the pipe under its own weight will be ( :(Y=5 times ) ( 10^{6} N / m^{2} ) and density of rubber ( = ) ( left.1500 k g / m^{3}right) ) ( mathbf{A} cdot 1.5 m ) B. ( 0.15 mathrm{m} ) ( mathrm{c} .0 .015 mathrm{m} ) D. ( 0.0015 mathrm{m} ) |
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275 | The graph is drawn between the applied force ( F ) and the strain ( (x) ) for a thin uniform wire. The wire behaves as a liquid in the part: ( A cdot a b ) B. bc ( c cdot c d ) D. oa |
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276 | The ratio of shearing stress to the shearing strain is defined as A. Young’s modulus B. bulk modulus c. shear modulus D. compressibility |
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277 | Assertion: Stress is the internal force per unit area of a body Reason: Rubber is more elastic than stee A. If both assertion and reason are true but the reason is the correct explanation of assertion. B. If both assertion and reason are true but the reason is not the correct explanation of assertion c. If assertion is true but reason is false D. If both the assertion and reason are false. E. If reason is true but assertion is false |
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278 | One end of a uniform rope of length and of weight ( w ) is attached rigidly to a point in the roof and a weight ( mathbf{w}_{1} ) is suspended from its lower. If s is the area of cross-section of the wire, the stress in the wire at a height ( frac{3 L}{4} ) from its lower end is: A ( cdot frac{w}{s} ) B. ( frac{w_{1}+frac{w}{4}}{s} ) c. ( underbrace{w_{1}+frac{2 w}{4}}_{s} ) D. ( frac{w_{1}+w}{s} ) |
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279 | According to Hooke’s law of elasticity, if stress is increased, then the ratio of stress to strain : A. becomes zero B. remains constant c. decreases D. increases |
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280 | A cube at temperature ( 0^{circ} C ) is compressed equally from all sides by an external pressure ( P . ) By what amount should its temperature be raised to bring it back to the size it had before the external pressure was applied. The bulk modulus of the material of the cube is ( B ) and the coefficient of linear expansion is ( alpha ) ( mathbf{A} cdot P / B a ) в. ( P / 3 B alpha ) c. ( 3 pi alpha / B ) D. ( 3 B / P ) |
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281 | A wire ( left(Y=2 times 10^{11} N / mright) ) has length ( 1 m ) and area ( 1 m m^{2} . ) The work required to increased its length by ( 2 m m ) is A. ( 400 J ) B. ( 40 J ) c. ( 0.4 J ) D. ( 0.04 J ) |
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282 | Two rods ( A ) and ( B ). each of equal length but different materials are suspended from a common support as shown in the figure. The roads ( A ) and ( B ) can support a maximum load of ( W_{1}=600 mathrm{N} ) and ( W_{2}= ) ( 6000 mathrm{N}, ) respectively. If their cross- sectional areas are ( A_{1}=10 m m^{2} ) and ( A_{2} ) ( =1000 m m^{2}, ) respectively, then identify the stronger material. |
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283 | If the temperature of a wire of length ( 2 m ) and area of cross section ( 1 mathrm{cm}^{2} ) is increased from ( 0^{0} C ) to ( 80^{0} C ) and is not allowed to increase in length, then required for it is ( boldsymbol{Y}=mathbf{1 0}^{mathbf{1 0}} boldsymbol{N} / boldsymbol{m}^{mathbf{2}} ) A. ( 0.008 N ) B. ( 1.06 N ) ( c cdot 2 cdot 4 N ) D. ( 3.2 N ) |
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284 | The length of a metal wire is ( l_{1} ) when the tension in it is ( F_{1} ) and ( l_{2} ) when the tension in it is ( F_{2} ). The natural length of the wire is A. ( frac{l_{1} F_{1}+l_{2} F_{2}}{F_{1}+F_{2}} ) в. ( frac{l_{2}-l_{1}}{F_{2}-F_{1}} ) c. ( frac{l_{1} F_{2}-l_{2} F_{1}}{F_{2}-F_{1}} ) D. ( frac{l_{1} F_{1}-l_{2} F_{2}}{F_{2}-F_{1}} ) |
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285 | Assertion The strain present in the material after unloading is called the residual strain or plastic strain and the strain disappears during unloading is termed as recoverable or elastic strain. Reason After yieild point, there is some residual stress left in an material on unloading. A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion C. Assertion is correct but Reason is incorrect D. Both Assertion and Reason are incorrect |
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286 | The length of a wire of cross-sectional ( operatorname{area} 1 times 10^{-6} m^{2} ) is ( 10 mathrm{m} . ) The young’s modulus of the material of the wire is 25 G.pa. When the wire is subjected to a tensile force of ( 100 N ), the elongation produced in ( m m ) is: A . 0.04 B. 0.4 ( c cdot 4 ) D. 40 |
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287 | Find out elongation in a rod Given : ( Y=2 times 1011 mathrm{N} / mathrm{m} 2, mathrm{p}=104 mathrm{kg} / mathrm{m} 3 mathrm{Y}=2 times 1011 mathrm{N} / mathrm{m} ) ( 2, p=104 mathrm{kg} / mathrm{m} 3 ) ( A .9 m n ) в. ( 10 m m ) ( c .18 m m ) D. ( 3 m m ) |
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288 | Assertion Steel is more elastic than rubber. Reason For same strain, steel requires more stress to be produced in it A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion c. Assertion is correct but Reason is incorrect D. Both Assertion and Reason are incorrect |
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289 | An Indian rubber cord ( L ) metre long and area of cross-section ( A ) meter ( ^{2} ) is suspended vertically. Density of rubber is ( rho k g / ) meter ( ^{3} ) and Young’s modulus of rubber is ( Y ) Newton/metre ( ^{2} ). If the cord extends by ( l ) metre under its own weight, then extension ( l ) is: ( mathbf{A} cdot frac{L^{2} rho g}{Y} ) B. ( frac{L^{2} rho g}{2 Y} ) ( ^{mathbf{C}} cdot frac{L^{2} rho g}{4 Y} ) D. ( frac{Y}{L^{2} rho g} ) |
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290 | The Bulk of Ethanol, Mercury and water are given as 0.9,25 and 2.2 respectively in units of ( 10^{8} N m^{-2} ). For a given value of pressure, the fractional compression in volume is ( triangle V / V . ) Which of the following statements about ( triangle boldsymbol{V} / boldsymbol{V} ) for these three liquids is correct? A. Mercury > Ethanol > Water B. Ethanol> Mercury > Water c. water> Ethanol > Mercury D. Ethanol> Water> Mercury |
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291 | Two rods of different materials having coefficients of thermal expansion and Young’s moduli ( Y_{1}, Y_{2}, ) respectively are fixed between two rigid massive walls. The rods are heated such that undergo the same increase in temperature. There is no bending of the rods. If ( boldsymbol{alpha}_{1}: ) ( boldsymbol{alpha}_{2}=boldsymbol{2}: boldsymbol{3}, ) the thermal stresses developed in the two rods are equal provided ( Y_{1}: Y_{2} ) is equal to: A .2: 3 B. 1: 1 c. 3: 2 D. 4: 9 |
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292 | The elongation of a steel wire stretched by a force is ‘e’. If a wire of the same material of double the length and half the diameter is subjected to double the force, its elongation will be A. ( 16 e ) B . ( 4 e ) c. ( left(frac{1}{4}right) e ) D. ( left(frac{1}{16}right) ) |
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293 | What is the meaning of ductility? | 11 |

294 | Two wires ( X ) and ( Y ) are made of different metals. The Young modulus of wire ( X ) is twice that of wire Y. The diameter of wire ( X ) is half that of wire ( Y ). The wires are extended with the same |
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295 | The poisson’s ratio cannot have the value A. 0.7 B. 0.2 c. ( 0 . ) D. 0.3 |
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296 | A given quantity of an ideal gas is at pressure ( P ) and absolute temperature T. The isothermal bulk modulus of the gas is: A. ( 2 P / 3 ) в. ( P ) c. ( 3 P / 2 ) D. ( 2 P ) |
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297 | Figure shows the strain-stress curve for a given material. What are (a) Young’s modulus and (b) approximate yield strength for this material? |
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298 | Distinguish between elastic and plastic materials. |
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299 | Plastic deformation in a material begins at A. Qpoint B. Yield point c. Proportionality limit D. Elastic limit |
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300 | The length of metallic wire is ( l_{1} ) when the tension is ( T_{1} ) and ( l_{2} ) when the tension is ( T_{1} . ) The original length of the wire is A ( cdot frac{l_{1}+l_{2}}{2} ) в. ( frac{l_{1} T_{2}+l_{2} T_{1}}{T_{1}+T_{2}} ) c. ( frac{l_{1} T_{2}-l_{2} T_{1}}{T_{2}-T_{1}} ) D. ( sqrt{T_{1} T_{2} l_{1} l_{2}} ) |
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301 | ILLUSTRATION 33,6 In Searle’s experiment to find Young’s modulus, the diameter of wire is measured as D = 0.05 cm, length of wire is L = 125 cm, and when a weight, m = 20.0 kg is put, extension in wire was found to be 0.100 cm. Find maximum permissible error in young’s modulus (Y). |
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302 | A uniform wire (Young’s modulus ( 2 times ) ( left.10^{11} N m^{-2}right) ) is subjected to longitudinal tensile stress of ( 5 times ) ( 10^{7} N m^{-2} . ) If the overall volume change in the wire is ( 0.02 %, ) the frictional decrease in the radius of the wire is close to A ( .1 .0 times 10^{-4} ) B. ( 1.5 times 10^{-4} ) c. ( 0.25 times 10^{-4} ) D. ( 5 times 10^{-4} ) |
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303 | A tangential force of ( 2100 N ) is applied on a surface of area ( 3 times 10^{-6} m^{2} ) which is ( 0.1 m ) from a fixed face. The force produces a shift of ( 7 mathrm{mm} ) of upper surface with respect to bottom. Th4n the modulus of rigidity of the material. В. ( 5 times 10^{10} mathrm{Nm}^{-2} ) c. ( 15 times 10^{10} N m^{-2} ) D. ( 1 times 10^{10} mathrm{Nm}^{-2} ) |
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304 | The diagram shows the change ( x ) in the length of a thin uniform wire caused by the application of stress ( F ) at two different temperatures ( T_{1} ) and ( T_{2} . ) The variations shown suggest that: A ( cdot T_{1}>T_{2} ) в. ( T_{1}<T_{2} ) c. ( T_{1}=T_{2} ) D. None of these |
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305 | When temperature of a gas is ( 20^{circ} mathrm{C} ) and pressure is changed from ( p_{1}=1.01 times ) ( 10^{5} P a ) to ( p_{2}=1.165 times 10^{5} P a, ) the volume changes by ( 10 % . ) The bulk modulus is ( mathbf{A} cdot 1.55 times 10^{5} ) B. ( 0.155 times 10^{5} ) C ( .1 .4 times 10^{5} ) D. ( 1.01 times 10^{5} ) |
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306 | A rod of length L and diameter D is subjected to a tensile load P. Which of the following is sufficient to calculate the resulting change in diameter? A. Youngs modulus B. Shear modulus c. Poissons ratio D. both Youngs modulus and Shear modulus |
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307 | A ball moving with a velocity v strikes a wall moving towards the ball with velocity u. An elastic impact lasts for seconds. Find the mean elastic force acting on the ball |
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308 | Which of the following statements are correct? A. Poisson’s ratio can be greater than 0.5 B. Poisson’s ratio is a characteristic property of the material of the body C. Poisson’s ratio of a body depends upon its shape and size D. None of these |
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309 | A ( 5 k g ) rod of square cross section 5 cm on a side and 1 m long is pulled along a smooth horizontal surface by a force applied at one end. The rod has a constant acceleration of ( 2 m / s^{2} ) Determine the elongation in the rod. (Young’s modulus of the material of the ( left.operatorname{rod} text { is } 5 times 10^{3} N / m^{9}right) ) A. Zero, as for elongation to be there, equal and opposite forces must act on the rod B. Non-zero but cannot be determine from the given situation ( mathbf{c} .4 mu m ) D. ( 16 mu m ) |
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310 | When the intermolecular distance decreases due to compressive force, there is : A. zero resultant force between molecules B. Repulsive force between molecules c. Attractive force between molecules D. No force between molecules |
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311 | In the stress -strain curve shown, the metal is A. Highly Ductile B. Highly Brittle c. Highly magnetic D. Highly chargeable |
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312 | The property to restore the natural shape or to oppose the deformation is called: A. elasticity B. plasticity c. ductility D. none of the above |
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313 | The shape of stress vs strain graph within elastic limit is : A. parabolic B. curve c. straight line D. ellipse |
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314 | Which of the following statements is incorrect? A. The bulk modulus for solids is much larger than for liquids B. Gases are least compressible C. For a system in equilibrium, the value of bulk modulus is always positive D. The SI unit of bulk modulus is same that of pressure |
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315 | A rod of mass ( ^{prime} M^{prime} ) is subjected to force ( t^{prime} ) and ( ^{prime} 2 f^{prime} ) at both the ends as shown in the figure. If young modulus of its material is ‘ ( y^{prime} ) and its length is ( L ) find total elongation of rod. A ( cdot frac{f l}{2 A y} ) в. ( frac{f l}{A y} ) c. ( frac{3 f l}{2 A v} ) D. ( frac{4 f l}{2 A y} ) |
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316 | The length of wire increases by ( 9 mathrm{mm} ) when weight of ( 2.5 mathrm{kg} ) is hung from the free end of wire. If all conditions are kept the same and the radius of wire is made thrice the original radius, find the increase in length. |
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317 | Q Type your question wall. The shearing strength of steel is ( 345 M N / m^{2} . ) The dimensions ( A B=5 ) ( mathrm{cm}, mathrm{BC}=mathrm{BE}=2 mathrm{cm} . ) The maximum load that can be put on the face ABCD is:(neglect bending of the rod) ( left(g=10 m / s^{2}right) ) A. 3450 kgf B. 1380 kgf c. ( 13800 mathrm{kgf} ) D. 345 kgf E. None of these |
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318 | The elastic limit of steel is ( 8 x ) ( 10^{8} N m^{-2} ) and its Young modulus ( 2 times ) ( 10^{11} N m^{-2} . ) Find the maximum elongation of a half-metre steel wire that can be given without exceeding the elastic limit. |
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319 | At yield point, Hooke’s law doesn’t hold good A. True B. False |
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320 | The buckling of a beam is found to be more if A. The breadth of the beam is large B. The beam material has large value of Young’s modulus c. The length of the beam is small D. The depth of the beam is small |
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321 | If Poisson’s ratio ( sigma ) for a material is ( -frac{1}{2} ) then the material is A. Elastic fatigue B. Incompressible c. compressible D. None of the above |
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322 | If the elastic limit of copper is ( 1.5 times ) ( 10^{8} N / m^{8}, ) the minimum diameter a copper wire can have under a load of 10.0 ( k g ), if its elastic limit is not to be exceeded, is ( frac{x}{10} ) mm. Find ( x ) |
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323 | The following four wires of length ( L ) and radius ( r ) are made of the same material Which of these will have the largest extension, when the same tension is applied? A. ( L=100 mathrm{cm}, r=0.2 mathrm{mm} ) В. ( L=200 c m, r=0.4 m m ) c. ( L=300 c m, r=0.6 m m ) D. ( L=400 mathrm{cm}, r=0.8 mathrm{mm} ) |
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324 | Assertion Ratio of isothermal bulk modulus and adiabatic bulk modulus for a monoatomic gas at a glven pressure is ( frac{3}{5} ) Reason This ratio is equal to ( gamma=frac{C_{p}}{C_{v}} ) A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion c. Assertion is correct but Reason is incorrect D. Both Assertion and Reason are incorrect |
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325 | An elongation of ( 0.1 % ) in a wire of cross- section ( 10^{-6} m^{2} ) causes a tension of ( 100 N . Y ) for the wire is ( mathbf{A} cdot 10^{12} N / m^{2} ) B. ( 10^{11} N / m^{2} ) ( mathbf{c} cdot 10^{10} N / m^{2} ) D. ( 100 mathrm{N} / mathrm{m}^{2} ) |
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326 | Assertion Steel is more elastic than rubber. Reason For same strain, steel requires more stress to be produced in it A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion c. Assertion is correct but Reason is incorrect D. Both Assertion and Reason are incorrect |
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327 | A steel wire of mass ( 3.16 K g ) is stretched to a tensile strain of ( 1 times 10^{-3} ) What is the elastic deformation energy if density ( rho=7.9 g / c c ) and ( Y=2 times 10^{11} ) ( mathrm{N} / mathrm{m}^{2} ? ) A. ( 4 K J ) в. ( 0.4 K J ) c. ( 0.04 K J ) D. ( 4 J ) |
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328 | For a given material, the Young’s modulus is 2.4 times its modulus of rigidity. Its Poisson’s ratio is A . 0.2 B. 0.4 c. 1.2 D. 2.4 |
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329 | A uniform pressure p is exerted on all sides of a solid cube at temperature ( t^{0} C . ) By what amount should the temperature of the cube be raised in order to bring its volume back to the value it had before the pressure was applied? The coefficient of volume expansion of the cube y and the bulk modulus is B. ( mathbf{A} cdot frac{p}{sqrt{2 y} B} ) B. ( frac{p}{2 y B} ) c. ( frac{2 p}{y B} ) D. ( frac{p}{y B} ) |
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330 | If ( mathrm{S} ) is the stress and ( mathrm{Y} ) is Young’s modulus of the material of a wire, the energy stored in the wire per unit volume is : ( mathbf{A} cdot 2 S^{2} Y ) B. ( frac{s^{2}}{2 Y} ) c. ( frac{2 Y}{S^{2}} ) D. ( frac{S}{2 Y} ) |
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331 | A copper solid cube of ( 60 mathrm{mm} ) side is subjected to a compressible pressure of ( 2.5 times 10^{7} ) Pa. If the bulk modulus of copper is ( 1.25 times 10^{11} ) pascals, the change in the volume of cube is A. ( -43.2 m m^{3} ) В. ( -43.2 m^{3} ) c. ( -43.2 mathrm{cm}^{3} ) D. ( -432 m m^{3} ) |
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332 | A stretched rubber has: A. increased kinetic energy B. increased potential energy C . decreased kinetic energy D. decreased potential energy |
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333 | If the work done in stretching a wire by 1 ( m m ) is ( 2 J, ) the work necessary for stretching another wire of same material but with double radius of cross-section and half the length by 1 mm is: ( mathbf{A} cdot 16 J ) B. ( 8 J ) c. ( 4 J ) D ( frac{1}{4} J ) |
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334 | Calculate the work done in stretching steel wire of length ( 2 mathrm{m} ) and of cross sectional area ( 0.0225 m m^{2}, ) when a load of ( 100 mathrm{N} ) is applied slowly to its free end. (Young’s modulus of steel = 20 x ( mathbf{1 0}^{mathbf{1 0}} mathbf{N} / boldsymbol{m}^{mathbf{2}} mathbf{)} ) |
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335 | what is the ratio of Youngs modulus ( boldsymbol{E} ) to shear modulus ( G ) in terms of poissons ratio? ( mathbf{A} cdot 2(1+mu) ) B . ( 2(1-mu) ) C ( cdot frac{1}{2}(1-mu) ) D ( cdot frac{1}{2}(1+mu) ) |
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336 | A steel wire if ( 1 ~ m ) long and ( 1 m m^{2} ) cross section area is hanged from rigid end when weight of ( 1 k g ) is hang from it, then change in length will be (Young’s coefficient for wire ( boldsymbol{Y}=mathbf{2} times ) ( left.mathbf{1 0}^{mathbf{1 1}} mathbf{N} / boldsymbol{m}^{2}right) ) A. ( 0.5 mathrm{mm} ) B. ( 0.25 mathrm{mm} ) c. ( 0.05 mathrm{mm} ) D. ( 5 m m ) |
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337 | Elasticity is defined as the ability of a body to A. Resist linear motion in a hard surface B. Resist rolling motion in a hard surface c. Resist a distorting influence and to return to its original size and shape when that influence or force is removed. D. Resist electric current in a magnetic field |
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338 | A wire of length ( L ) and cross sectional area ( A ) is made of a material of Young’s modulus ( Y ). If the wire is stretched by an amount ( x, ) the work done is A ( cdot frac{Y A x^{2}}{3 L} ) в. ( frac{Y A x^{2}}{4 L} ) c. ( frac{Y A x^{2}}{L} ) D. ( frac{Y A x^{2}}{2 L} ) |
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339 | Hookes Laws is used in the determination of A. Weight of a body B. Density of a body c. volume of body D. None of these |
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340 | A wire elongates by 1 m ( m ) when a load Wis hanged from it. If the wire goes over a pulley and two weights Weach are hung at the two ends, the elongation of the wire will be (in ( mathrm{mm} ) ): A . ( 1 / 2 ) B. 1 ( c cdot 2 ) D. zero |
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341 | The maximum stress that can be applied to the material of a wire employed to suspend an elevator is ( frac{3}{pi} times 10^{8} N / m^{2} . ) If the mass of the elevator is ( 900 mathrm{kg} ) and it moves up with an acceleration of ( 2.2 m / s^{2} ) then calculate the minimum radius of the wire. |
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342 | The pressure that has to be applied to the ends of a steel wire of length ( 10 c m ) to keep its length constant when its temperature is raised by ( 100^{circ} mathrm{C} ) is: (For steel Young’s modulus is ( 2 times ) ( 10^{11} N m^{-2} ) and coefficient of thermal expansion is ( 1.1 times 10^{-5} K^{-1} ) ) A ( cdot 2.2 times 10^{7} ) Ра B . ( 2.2 times 10^{6} ) ра c. ( 2.2 times 10^{8} ) Pa D. ( 2.2 times 10^{9} ) pa |
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343 | A long spring is stretched by ( 2 mathrm{cm} ) and its potential energy is ( U . ) If the spring is stretched by ( 10 mathrm{cm} ; ) its potential energy will be (in terms of ( U ) ) A. ( U / 5 ) в. ( U / 25 ) ( c .5 U ) D. 25U |
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344 | Assertion The stress-strain relationship in elastic region need not be linear and can be non-linear. Reason Steel has non linear,profile in elastic zone A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion c. Assertion is correct but Reason is incorrect D. Both Assertion and Reason are incorrect |
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345 | Find out longitudinal stress and tangential stress on the given fixed block |
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346 | A wire of length L can support a load W. If the wire is broken in to two equal parts then how much load can be suspended by one of those cut wires? A . Half B. Same c. Double D. One fourth |
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347 | The energy absorbed in a body, when it is strained within elastic limits is known as A . Resilience B. Potential energy c. Kinetic energy D. Strain energy |
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348 | When a wire of length ( 10 mathrm{m} ) is subjected to a force of ( 100 N ) along its length, the lateral strain produced is ( 0.01 times 10^{-3} ) The Poisson’s ratio was found to be 0.4 If the area of cross-section of wire is ( 0.025 m^{2}, ) its Young’s modulus is: A ( cdot 1.6 times 10^{8} N / m^{2} ) B . ( 2.5 times 10^{10} N / m^{2} ) c. ( 12.5 times 10^{11} N / m^{2} ) D. ( 16 times 10^{10} N / m^{2} ) |
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349 | The dimensions of strain is: A. ( L ) B ( cdot L^{2} ) c. It is dimensionless D. ( M L^{2} T^{-2} ) |
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350 | A solid cylindrical rod of radius ( 3 m m ) gets depressed under the influence of a load through ( 8 m m . ) The depression produced in an identical hollow rod with outer and inner radii of ( 4 m m ) and ( 2 m m ) respectively, will be A. 2.7mm B. ( 1.9 mathrm{mm} ) c. ( 3.2 mathrm{mm} ) D. 7.7mm |
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351 | A material has Poisson’s ratio ( 0.50 . ) If a uniform rod of it suffers a longitudinal strain of ( 2 times 10^{-3}, ) then the percentage change in volume is A . 0.6 B. 0.4 ( c .0 .2 ) D. zero |
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352 | Determine the volume contraction of a solid copper cube, ( 10 mathrm{cm} ) on an edge, when subject to a hydraulic pressure of ( mathbf{7} times mathbf{1 0}^{mathbf{6}} ) Pa. ( boldsymbol{K} ) for copper ( =mathbf{1 4 0} times mathbf{1 0}^{mathbf{9}} ) ( P a ) |
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353 | If a wire is stretched by applying force at one of its ends, then the elastic potential energy density in terms of Young’s modulus Y and linear strain ( alpha ) will be ( ^{A} cdot frac{alpha Y^{2}}{2} ) в. ( frac{Y alpha}{2} ) c. ( frac{alpha^{2} Y}{2} ) D. ( 2 alpha^{2} Y ) |
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354 | The maximum shear stress induced in a member which is subjected to an axial load is equal to A. maximum normal stress B. half of maximum normal stress c. twice the maximum normal stress D. thrice the maximum normal stress |
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355 | Assertion The compressive strength of a typical brittle material is significantly higher than its tensile strength. Reason In compression force between the molecules increases. A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion c. Assertion is correct but Reason is incorrect D. Both Assertion and Reason are incorrect |
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356 | If the ratio of diameters, lengths and Young’s modulus of steel and copper wires shown in the figure are ( p, q ) and ( s ) respectively, then the corresponding ratio of increase in their lengths would be |
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357 | Shearing strain is expressed by A. angle of shear B. angle of twist c. decrease in volume D. increase in volume |
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358 | If the Poisson’s ratio of a solid is ( frac{2}{5}, ) then the ratio of its young’s modulus to the rigidity modulus is A ( cdot frac{5}{4} ) в. ( frac{7}{15} ) c. ( frac{14}{9} ) D. ( frac{14}{5} ) |
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359 | When a mass is suspended from the end of a wire the top end of which is attached to the roof of the lift, the extension is ( e ) when the lift is stationary. If the lift moves up with a constant acceleration ( boldsymbol{g} / mathbf{2}, ) the extension of the wire would be A ( cdot frac{2 e}{3} ) в. ( frac{3 e}{2} ) ( c cdot 2 e ) D. ( 3 e ) |
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360 | Two wires of the same material have lengths in the ratio 1: 2 and their radii are in the ratio ( 1: sqrt{2} . ) If they are stretched by applying equal forces, the increase in their lengths will be in the ratio : A .2 B . ( sqrt{2}: 2 ) c. 1: 1 D. 1: 2 |
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361 | One end of a uniform rod of mass ( boldsymbol{M} ) and cross-sectional area ( boldsymbol{A} ) is suspended from the other end. The stress at the mid-point of the rod will be A ( cdot frac{2 M g}{A} ) в. ( frac{3 M g}{2 A} ) c. ( frac{M g}{A} ) D. zero |
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362 | There is no change in the volume of a wire due to change in its length on stretching. The Poisson’s ratio of the material of the wire is : ( mathbf{A} cdot+0.50 ) B . -0.50 c. 0.25 D. -0.25 |
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363 | A copper wire ( 3 mathrm{m} ) long is stretched to increase its length by ( 0.3 mathrm{cm} ). Find the lateral strain produced in the wire , if poisson’s ratio for copper is 0.25 A. ( 5 times 10^{-4} ) B. ( 2.5 times 10^{-4} ) c ( .5 times 10^{-3} ) D. ( 2.5 times 10^{-3} ) |
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364 | A steel wire of length ( 7 m ) and cross section 1 mm( ^{2} ) is hung from a rigid support with a steel weight of volume 1000 ( c c ) hanging from the other end. Find the decreases in the length of wire, when steel weight is completely immersed in water ( left(boldsymbol{Y}_{text {steel}}=mathbf{2} times mathbf{1 0}^{mathbf{1 1}} mathbf{N} / boldsymbol{m}^{2}right) ) Density of water ( =mathbf{1} boldsymbol{g} / boldsymbol{c} . boldsymbol{c} ) |
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365 | A ( 20 k g ) load is suspended by a wire of ( operatorname{cross} operatorname{section} 0.4 m m^{2} . ) The stress produced in ( mathrm{N} / mathrm{m}^{2} ) is : ( A cdot 4.9 times 10^{-6} ) B. ( 4.9 times 10^{8} ) ( c cdot 49 times 10^{8} ) D. 2.45 times 10 ( ^{-6} ) |
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366 | A wire suspended vertically from one of its ends is stretched by attaching a weight of ( 200 mathrm{N} ) to the lower end. The weight stretches the wire by ( 1 mathrm{mm} ). Then the elastic energy stored in the wire is: A . 0.1 B. 0.2 c. 10 D. 20 |
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367 | If the work done by stretching a wire by 1 ( m m ) is ( 2 J, ) the work necessary for stretching another wire of the same material but with half the radius of cross section and half the length by 1 mm is ( ^{A} cdot frac{1}{4} J ) в. 4.5 c. ( 8 J ) D. 16.5 |
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368 | Assertion For small deformations, the stress and strain are proportional to each other Reason A class of solids called elastomers does not obey Hooke’s law. A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion c. Assertion is correct but Reason is incorrect D. Both Assertion and Reason are incorrect |
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369 | Four identical hollow cylindrical columns of mild steel support a big structure of mass 50,000 kg. The inner and outer radii of each column are 30 and ( 60 mathrm{cm} ) respectively. Assuming the load distribution to be uniform, calculate the compressional strain of each column. |
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370 | A steel wire of ( 2 m m ) in diameter is stretched by applying a force of ( 72 N ) Stress in the wire is A ( cdot 2.29 times 10^{7} N / m^{2} ) B. ( 1.17 times 10^{7} N / m^{2} ) ( c ) ( 3.6 times 10^{7} N / m^{2} ) D. ( 0.8 times 10^{7} N / m^{2} ) |
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371 | If the elastic deformation energy of a steel rod of mass ( boldsymbol{m}=mathbf{3 . 1} boldsymbol{k g} ) stretched to a tensile strain ( varepsilon=1.0 times 10^{-3} ) is ( x ) then value of ( 100 x ) is: |
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372 | For an elastic material ( mathbf{A} cdot Y>eta ) в. ( Y<eta ) c. ( Y eta=1 ) D. ( Y=eta ) |
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373 | A steel wire of length ( 1 mathrm{m} ) has cross sectional area ( 1 mathrm{cm}^{2} ). If young’s modulus of steel is ( 10^{11} N / m^{2}, ) then force required to increase the length of wire by ( 1 mathrm{mm} ) will be : ( mathbf{A} cdot 10^{11} N ) В. ( 10^{7} N ) ( mathbf{c} cdot 10^{4} N ) D. ( 10^{2} N ) |
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374 | for two materials ( P ) and ( Q ), a student by mistake puts strain on the y-axis and stress on the ( x ) -axis as shown in the figure. Then the correct statement(s) is (are) This question has multiple correct options A. P has more tensile strength than ( Q ) B. P is more ductile than ( Q ) ( c . ) P is more brittle than ( Q ) Deng’s modulus of than that of |
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375 | A river ( 10 m ) deep is flowing at ( 5 m / s ) The shearing stress between horizontal layers of the river is ( (boldsymbol{eta}= ) ( 10^{-3} ) SI units ( mathbf{A} cdot 10^{-3} N / m^{2} ) B. ( 0.8 times 10^{-3} N / m^{2} ) C. ( 0.5 times 10^{-3} N / m^{2} ) D. ( 1 mathrm{N} / mathrm{m}^{2} ) |
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376 | If a rubber ball is taken down to a ( 100 mathrm{m} ) deep lake, its volume decreases by ( 0.1 % ) If ( boldsymbol{g}=mathbf{1 0} quad boldsymbol{m} / boldsymbol{s}^{2} ) then the bulk modulus of elasticity for rubber, in ( mathrm{N} / mathrm{m}^{2} ), is A ( cdot 10^{8} ) B . ( 10^{text {9 }} ) c. ( 10^{11} ) D. ( 10^{10} ) |
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377 | What is the tension in string B? A. ( frac{3 m g}{5} ) в. ( frac{m g}{5} ) c. ( frac{6 m g}{5} ) D. ( frac{4 m g}{5} ) |
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378 | The length of a metal is ( l_{1} ) when the tension in it is ( T_{1} ) and is ( l_{2} ) when the tension is ( T_{2} . ) The original length of the wire is : A ( cdot frac{l_{1}+l_{2}}{2} ) в. ( frac{l_{1} T_{2}+l_{2} T_{1}}{T_{1}+T_{2}} ) c. ( frac{l_{1} T_{2}-l_{2} T_{1}}{T_{2}-T_{1}} ) D. ( sqrt{T_{1} T_{2} l_{1} l_{2}} ) |
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379 | When the load on a wire is increasing slowly from 2 kg to 4 kg, the elongation increases from ( 0.6 mathrm{mm} ) to ( 1 mathrm{mm} ). The work done during this extension of the wire is ( left(boldsymbol{g}=mathbf{1 0 m} / boldsymbol{s}^{2}right) ) B . ( 0.4 times 10^{-3} ) J c. ( 8 times 10^{-2} ) j D. ( 10^{-3} ) 」 |
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380 | The average depth of Indian ocean is about 3000 m. The value of fractional compression ( frac{Delta V}{V} ) of water at the bottom of the ocean is: [Given that the bulk modulus of water is ( 2.2 times 10^{9} N m^{-2}, g=9.8 m s^{-2} ) and ( left.rho_{H_{2}} O=1000 k g . m^{-3}right] ) A. ( 3.4 times 10^{-2} ) B . ( 1.34 times 10^{-2} ) c. ( 4.13 times 10^{-2} ) D. ( 13.4 times 10^{-2} ) |
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381 | A uniform rod of length ( L ) has a mass per unit length ( lambda ) and area of cross section ( A ). If the Young’s modulus of the rod is ( Y . ) The elongation in the rod due to its own weight is A ( cdot frac{2 lambda g L^{2}}{A Y} ) B. ( frac{lambda g L^{2}}{2 A Y} ) c. ( frac{lambda g L^{2}}{4 A Y} ) D. ( frac{lambda g L^{2}}{6 A Y} ) |
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382 | Which of the following is an example of elastic deformation? A. stretching a rubber band B. stretching saltwater taffy ( c . ) both D. none |
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383 | Out of the following whose elasticity is independent of temperature A. stee B. copper c. Invar steel D. glass |
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384 | Stress and pressure have the same dimensions but pressure is not the same as stress.Why? |
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385 | Assertion (A) : Lead is more elastic than rubber. Reason (R) : If the same load is attached |
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386 | Assertion Ratio of isothermal bulk modulus and adiabatic bulk modulus for a monoatomic gas at a glven pressure is ( frac{3}{5} ) Reason This ratio is equal to ( gamma=frac{C_{p}}{C_{v}} ) A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion c. Assertion is correct but Reason is incorrect D. Both Assertion and Reason are incorrect |
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387 | In figure the upper wire is made of steel and the lower of copper. The wires have equal cross section. Find the ratio of the ongitudinal strains developed in the two wires. |
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388 | A copper rod of length ( L ) and radius ( r ) is suspended from the ceiling by one of its ends. What will be elongation of the rod due to its own weight when ( rho ) and ( Y ) are the density and Young’s modulus of the copper respectively? ( ^{text {A } cdot frac{rho^{2} g L^{2}}{2 Y}} ) ( ^{mathrm{B}} cdot frac{rho g L^{2}}{2 Y} ) c. ( frac{rho^{2} g^{2} L^{2}}{2 Y} ) D. ( frac{rho g L}{2 Y} ) |
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389 | Take, bulk modulus of water ( boldsymbol{B}= ) ( mathbf{2 1 0 0} boldsymbol{M P a} ) What increase in pressure is required to decrease the volume of 200 litres of water by 0.004 percent? A ( .210 k P a ) в. ( 840 mathrm{kPa} ) c. ( 8400 k P a ) D. ( 84 k P a ) |
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390 | Which of the following are correct? This question has multiple correct options A. The shear modulus of a liquid is infinite. B. Bulk modulus of a perfectly rigid body is infinity. C. According to Hookes law, the ratio of the stress and strain remains constant. D. None of the above. |
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391 | A steel ring of radius ( r ) and cross sectional area ( A ) is fitted onto a wooden disc of radius ( R(R>r) . ) If the Young’s modulus of steel is ( Y ), then the force with which the steel ring is expanded is A. ( A Y(R / r) ) в. ( A Y(R-r) / r ) c. ( (Y / A)[(R-r) / r] ) D. ( Y r / A R ) |
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392 | For a material ( Y=6.6 times 10^{10} mathrm{N} / mathrm{m}^{2} ) and bulk modulus ( mathrm{K}=11 times 10^{10} mathrm{N} / mathrm{m}^{2}, ) then its Poissons’s ratio is A. 0.8 B. 0.35 ( c . ) о. D. 0.4 |
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393 | A rubber cord of density d, Youngs modulus Y and length L is suspended vertically. If the cord extends by a length ( 0.5 mathrm{L} ) under its own weight, then Lis A ( cdot frac{Y}{2 d g} ) в. ( frac{Y}{d g} ) c. ( frac{2 Y}{d g} ) D. ( frac{d g}{2 Y} ) E ( cdot frac{d g}{Y} ) |
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394 | ( boldsymbol{Y}, boldsymbol{k}, boldsymbol{n} ) represent respectively the young’s modulus,bulk modulus and rigidity modulus of a body. If rigidity modulus is twice the bulk modulus, then: A. ( Y=5 k / 18 ) в. ( Y=5 n / 9 ) c. ( Y=9 k / 5 ) D. ( Y=18 k / 5 ) |
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395 | A solid sphere hung at the lower end of a wire is suspended from a fixed point so as to give an elongation of ( 0.4 m m ) When the first solid sphere is replaced by another one made of same material but twice the radius, the new elongation is A . ( 0.8 m m ) в. ( 1.6 m m ) ( mathrm{c} .3 .2 mathrm{mm} ) D. ( 1.2 m m ) |
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396 | The volume of oil contained in a certain hydraulic press is ( 0.2 m^{3} . ) The compressibility of oil is ( 20 times 10^{-6} ) per atmosphere. The decrease in volume of the oil when subjected to 200 atmospheres is (1 atmosphere ( = ) ( left.1.02 times 10^{5} N / m^{2}right) ) A ( cdot 4 times 10^{-4} m^{3} ) B. ( 8 times 10^{-4} m^{3} ) c. ( 16 times 10^{-4} m^{3} ) D. ( 2 times 10^{-4} m^{3} ) |
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397 | The bulk modulus of an ideal gas at constant temperature is : A. Equal to its pressure B. Equal to its volume c. Equal to ( p / 2 ) D. Cannot be determined |
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398 | Define the terms (a) Plastic (b) Adhesive |
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399 | A cubical ball is taken to a depth of ( 200 mathrm{m} ) in a sea. The decrease in volume observed to be ( 0.1 % ). The bulk modulus of the ball is ( left(10=m s^{-2}right) ) ( begin{array}{ll}text { A. } 2 times 10^{7} & text { Pa } \ aend{array} ) В. ( 2 times 10^{6} ) Ра C ( .2 .1 times 10^{9} ) Pa D. ( 1.2 times 10^{9} ) Pa |
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400 | A metallic ring of radius ‘r’, cross sectional area ‘A’ is fitted into a wooden circular disk of radius ‘R’ ( (R>r) . ) If the Young’s modulus of the material of the ring is ‘Y’, the force with which the metal ring expands is : A. ( frac{A Y R}{r} ) в. ( frac{A Y(R-r)}{r} ) c. ( frac{Y(R-r)}{A r} ) D. ( frac{Y R}{A r} ) |
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401 | A steel rope has length ( L ), area of cross- section ( A ), Young’s modulus ( Y ). Density ( =d ) ]. If the steel rope is vertical and moving with the force acting vertically up at the upper end, find the strain at a point ( frac{L}{3} ) from lower end. ( mathbf{A} cdot(d g L) / 2 Y ) в. ( (d g L) / 4 Y ) ( mathbf{c} cdot(d g L) / 6 Y ) D. ( (d g L) / 8 Y ) |
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402 | Which of the following statements is true for wave motion? A. Mechanical transverse wave can propagate through all medium. B. Longitudinal waves can propagate through solids only. C. Mechanical transverse waves can propagate through solids only. D. Longitudinal waves can propagate through vacuum. |
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403 | The pressure applied from all directions on a cube is ( p . ) How much its temperatures should be raised to maintain the original volume? The volume elasticity of the cube is ( beta ) and the coefficient of volume expansion is ( alpha ) A ( cdot frac{p}{alpha beta} ) B. ( frac{p alpha}{beta} ) ( c cdot frac{p beta}{alpha} ) D. ( frac{alpha beta}{p} ) |
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404 | In a sphere, that is fully submerged in a İiquid, A. Force is applied along one of the diameter to determine the volume stress B. Force is applied along two perpendicular diameters to determine the volume stress C. Force is applied along the entire surface to determine the volume stress D. Force is applied along the hemispherical surface to determine the volume stress |
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405 | If Young’s modulus of iron be ( 2 times 10^{11} ) ( mathrm{N} / mathrm{m}^{-2} ) and interatomic distance be ( 3 mathrm{x} ) ( 10^{-10} mathrm{m}, ) the interatomic force constant will be : ( mathbf{A} .60 N / m ) в. ( 120 N / m ) ( c .30 N / m ) D. ( 180 N / m ) |
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406 | The Poissons ratio for inert gases is: A . 1.40 B . 1.66 ( c cdot 1.34 ) D. None of these |
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407 | The mean distance between the atoms of iron is ( 3 times 10^{-10} m ) and interatomic force constant for iron is ( mathbf{7} N boldsymbol{m}^{-1} ). The Young’s modulus of electricity for iron is A ( .2 .33 times 10^{5} mathrm{Nm}^{-2} ) в. ( 23.3 times 10^{10} mathrm{Nm}^{-2} ) c. ( 2.33 times 10^{9} mathrm{Nm}^{-2} ) D. ( 2.33 times 10^{10} mathrm{Nm}^{-2} ) |
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408 | following graphs correctly represents the variation of extension in the length of a wire with the external load? ( A ) B. ( c ) D. |
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409 | The formula ( Y=3 B(1-2 sigma) ) relates young’s modulus and bulk’s modulus with poisson’s ratio. A theoretical physicist derives this formula incorrectly as ( Y=3 B(1-4 sigma) ) According to this formula, what would be the theoretical limits of poisson’s ratio: A. Poisson’s ratio should be less than 1 B. Poisson’s ratio should be less than 0.5 c. Poisson’s ratio should be less than 0.25 D. Poisson’s ratio should be less than 0 |
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410 | Which of the following relation is true? A. ( 3 Y=K(1+sigma) ) в. ( _{K}=frac{9 eta Y}{Y+eta} ) ( mathbf{c} cdot sigma=(6 K+eta) Y ) D. ( sigma=frac{0.5 Y-eta}{eta} ) |
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411 | For most materials, the Young’s modulus is ( n ) times the modulus of rigidity, where ( n ) is ( A cdot 2 ) B. 3 ( c cdot 4 ) D. 5 |
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412 | If a member, whose tensile strength is more than 1.5 times the shear strength and is subjected to an axial load upto failure, the failure of the member will occur by A. maximum normal stress B. maximum shear stress c. normal stress or shear stress D. none of the above |
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413 | The Poisson’s ratio of a material is ( 0.5 . ) If a force is applied to a wire of this material, there is a decrease in the cross-sectional area by 4%. The percentage increase in the length is : A . 1% B. २% c. 2.5% D. 4% |
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414 | A wire elongates by 1 m ( m ) when a load ( W ) is hung from it. If the wire goes over a pulley and the two weights ( W ), each are hung at the two ends, then the elongation of the wire will be: A. ( 0.5 m m ) в. ( 1 mathrm{mm} ) ( mathbf{c} cdot 2 m m ) D. ( 4 m m ) |
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415 | The elastic relaxation time is minimum for A. glass B. quartz c. rubber D. clay |
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416 | A fixed volume of iron is drawn into a wire of length ( L ). The extension ( x ) produced in the wire by a constant force ( F . F ) is proportional to A ( cdot frac{1}{L^{2}} ) в. ( frac{1}{L} ) c. ( L^{2} ) D. ( L ) |
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417 | The length of an elastic string is ( L_{1} ) when the tension is ( 4 N, ) and ( L_{2} ) when the tension is 5 N. What is the length of the string when the tension is ( 7 N ? ) |
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418 | The unit of stress is: A . ( k g m^{-2} ) B. ( N k g^{-1} ) c. ( N m^{-2} ) D. ( N ) |
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419 | When the tension in a metal wire is ( T_{1} ) its length is ( l_{1} ). When the tension is ( T_{2} ) its length is ( l_{2} ). The natural length of wire is ( ^{mathbf{A}} cdot frac{T_{2}}{T_{1}}left(l_{1}+l_{2}right) ) в. ( T_{1} l_{1}+i_{2} l_{2} ) c. ( frac{l_{1} T_{2}-l_{2} T_{1}}{T_{2}-T_{1}} ) D. ( frac{l_{1} T_{2}+l_{2} T_{1}}{T_{2}+T_{1}} ) |
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420 | A sphere contracts in volume by ( 0.01 % ) when taken to the bottom of sea ( 1 mathrm{km} ) deep. Find bulk modulus of the material of sphere A. ( 9.8 times 10^{6} M / M^{2} ) В. ( 1.2 times 10^{10} N / M^{2} ) c. ( 9.8 times 10^{10} N / M^{2} ) D. ( 9.8 times 10^{11} N / M^{2} ) |
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421 | Find the density of lattice, A compound AB has a rock type structure with ( A: B= ) 1 : 1. The formula mass of AB is 6.023 Y amu and the closed ( A ) -B distance is ( boldsymbol{Y}^{1 / 3} mathrm{nm} ) A ( cdot 4 mathrm{kg} / m^{3} ) в. ( 5 mathrm{kg} / mathrm{m}^{3} ) c. ( 40 mathrm{kg} / mathrm{m}^{3} ) D. ( 50 mathrm{kg} / mathrm{m}^{3} ) |
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422 | Two vertical rods of equal lengths, one of steel and the other of copper, are suspended from the ceiling, at a distance I apart and are connected rigidly to a rigid horizontal bar at their lower ends. If ( A_{S} ) and ( A_{C} ) be their respective cross-sectional areas, and ( boldsymbol{Y}_{boldsymbol{S}} ) and ( boldsymbol{Y}_{C}, ) their respective Young’s moduli of elasticities, where should a vertical force ( F ) be applied to the horizontal bar in order that the bar remains horizontal? |
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423 | A copper rod of length ( l ) is suspended from the ceiling by one of its ends. Find the relative increment of its volume ( frac{Delta V}{V} ) A ( cdot frac{Delta V}{V}=(1-2 mu) frac{Delta l}{l} ) в. ( frac{Delta V}{V}=(1-3 mu) frac{Delta l}{l} ) c. ( frac{Delta V}{V}=(1-2 mu) frac{2 Delta l}{l} ) D. ( frac{Delta V}{V}=(1-3 mu) frac{3 Delta l}{l} ) |
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424 | A load of ( 10 k N ) is supported from a pulley which in turn is supported by a rope of sectional area, ( 1 times 10^{3} m m^{2} ) and modulus of elasticity ( 10^{3} N m m^{-2} ) as shown in Fig. 5.18. Neglecting the friction at the pulley, determine the deflection of the load is ( x+0.75 m m ) Find ( boldsymbol{x} ) |
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425 | A bar of cross-sectional area ( boldsymbol{A} ) is subjected two equal and opposite tensile forces at its ends as shown in figure. Consider a plane BB’ making an angle ( theta ) with the length. The ratio of tensile stress to the shearing stress on the plane BB’ is: ( A cdot tan theta ) B. ( sec theta ) ( c cdot cot theta ) ( D cdot cos theta ) |
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426 | A steel wire is suspended from a fixed end, while the other end is loaded with a weight W. This produced an extension ( x ) As the weight is increased, the extension was also increased. A plot of extension vs load within elastic limits will give rise to A. a curve B. an ellipse c. a straight line D. a hyperbola |
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427 | ( mathbf{A} ) ( 2 m ) long rod of radius ( 1 c m ) which is fixed from one end is given a twist of 0.8 radian. The shear strain developed will be ( mathbf{A} cdot 0.002 ) B. 0.004 c. 0.008 D. 0.016 |
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428 | The ratio of lateral strain to the linear strain within elastic limit is known as: A. Young’s modulus B. Bulk’s modulus c. Rigidity modulus D. Poisson’s ratio |
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429 | The length of a wire is increased by 1 ( m m ) on the application of a given load In a wire of the same material, but of length and radius twice that of the first, on application of the same load, extension is A. ( 0.25 mathrm{mm} ) в. ( 0.5 mathrm{mm} ) ( mathrm{c} .2 mathrm{mm} ) D. ( 4 mathrm{mm} ) |
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430 | A steel rod has a radius of ( 10 mathrm{mm} ) and a length of ( 1.0 mathrm{m} . ) A force stretches it along its length and produces a strain of ( 0.16 % . ) Young’s modulus of the steel is ( 2.0 times 10^{11} N / m^{2} . ) What is the magnitude of the force stretching the rod? A . ( 100 mathrm{kN} ) B. 314 k c. ( 31.4 mathrm{kN} ) D. 200kN |
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431 | When a ( 4 k g ) mass is hung vertically on a light spring that obeys Hooke’s law, the spring stretches by 2 cms. The work required to be done by an external agent in stretching this spring by ( 5 c m s ) will be ( left(boldsymbol{g}=mathbf{9 . 8 m} / boldsymbol{s e c}^{2}right) ) A. 4.900 joule B . 2.450 joule c. 0.495 joule D. 0.245 joule |
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432 | A steel wire of length ( 5 mathrm{m} ) is pulled to have an extension of ( 1 mathrm{mm} ). Its ( mathrm{Y} ) is ( 1.9 mathrm{x} ) ( 10^{4} mathrm{N} / mathrm{m}^{2} . ) The energy per unit volume stored in it is A ( .3 .8 times 10^{-4} mathrm{J} / mathrm{m}^{3} ) B . ( 7.6 times 10^{-4} J / m^{3} ) C ( .1 .9 times 10^{-4} J / m^{3} ) D. ( 0.95 times 10^{-4} mathrm{J} / mathrm{m}^{3} ) |
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433 | To what depth must a rubber ball be taken in deep sea so that its volume is decreased by ( 0.1 % ) (Take density of sea water ( 10^{3} k g quad m^{-3} ) bulk modulus of rubber ( =9 times ) ( mathbf{1 0}^{8} mathbf{N m}^{-mathbf{2}}, boldsymbol{g}=mathbf{1 0 m} boldsymbol{s}^{-mathbf{2}} mathbf{)} ) ( A .9 m ) в. 18 т ( mathrm{c} .90 mathrm{m} ) D. ( 180 m ) |
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434 | Which of the following statement related to stress-strain relation is correct? A. Stress is linearly proportional to strain irrespective of the magnitude of the strain B. Stress is linearly proportional to strain above C. Stress is linearly proportional to strain for stress much smaller than at the yield point D. Stress-strain curve is same for all materials E. Stress is inversely proportional to strain |
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435 | A wire made of the material of Young’s modulus ( Y ) has an stress ( S ) applied to it. If Poisson’s ratio of the wire is ( sigma ), the lateral strain is: ( ^{text {A }} cdot frac{S}{Y} ) в. ( sigma frac{Y}{S} ) c. ( sigma Y times S ) D. ( frac{s}{sigma Y} ) |
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436 | The bulk modulus of water is ( 2.1 times ) ( 10^{9} N / m^{2} . ) The pressure required to increase the density of water by ( 0.1 % ) is:- A ( cdot 2.1 times 10^{5} N / m^{2} ) B . ( 2.1 times 10^{3} N / m^{2} ) C ( cdot 2.1 times 10^{6} N / m^{2} ) D. ( 2.1 times 10^{7} N / m^{2} ) |
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437 | Stressis a ( -ldots— ) quantity. A. scalar B. vector c. tensor D. dimensionless |
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438 | The ratio of modulus of rigidity to modulus of elasticity for a Poisson’s ratio of 0.25 would be A. 0.5 B. 0.4 ( c cdot 0.3 ) D. 1.0 |
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439 | Strain energy per unit volume in a stretched string is A. ( 1 / 2 times ) Stress ( times ) Strain B. Stress x Strain c. (Stress x Strain) ( ^{2} ) D. Stress / Strain |
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440 | For a material ( sigma=-0.25 ) under an external stress, the longitudinal strain is ( 10^{-2} ). The percentage change in the diameter of the wire is A . ( +1 % ) B. -1% c. ( +0.25 % ) D. – 0.25% |
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441 | Which of the following is not artificial form of plastics? A. Nylon B. Teflon c. Styrofoam D. None of the above |
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442 | For a given material, the Young’s modulus is 2.4 times that of rigidity modulus. Its poisson’s ratio is. A . 2.4 B. 1.2 ( c .0 .4 ) D. 0.2 |
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443 | A material capable of absorbing large amount of energy before fracture is known as A. Ductility B. Toughness c. Resilience D. Plasticity |
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444 | One end of a horizongal thick copper wire of length ( 2 L ) and radius ( 2 R ) is welded to an end of another horizontal thin copper wire of length ( L ) and radius ( R ) When the arrangement is stretched by applying forces at two ends, the ratio of the elongation in the thin wire to that in the thick wire is then A . 0.25 B. 0.50 ( c .2 .00 ) D. 4.00 |
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445 | Which of the following pairs is not correct? A. strain-dimensionless B. stress-N/m ( ^{2} ) c. modulus of elasticity- ( N / m^{2} ) D. poisson’s ratio- ( N / m^{2} ) |
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446 | If speed(V), acceleration(A) and force(F) are considered as fundamental units, the dimension of Young’s modulus will be? A. ( V^{-2} A^{2} F^{2} ) a ( cdot F^{-2} F^{-} ) В. ( V^{-4} A^{2} F ) c. ( V^{-4} A^{-2} F ) D. ( V^{-2} A^{2} F^{-2} ) |
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447 | Assertion Yield strength is the stress required to produce a small specific amount of deformation. Reason The offset yield strength can be determined by the stress corresponding to the intersection of the stress-strain curve and a line parallel to the elastic line offset by a strain of 0.2 or ( 0.1 % ) A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion C. Assertion is correct but Reason is incorrect D. Both Assertion and Reason are incorrect |
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448 | A wire of length ( L ) and cross-sectional ( A ) is made of a material of Young’s modulus. If the wire is stretched by an amount ( x, ) the work done is |
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449 | One end of a nylon rope of length ( 4.5 m ) and diameter ( 6 m m ) is fixed to a stem of a tree. A monkey weighting ( 100 N ) jumps to catch the free end and stays there. what will be the change in the diameter of the rope. (Given Young’s modulus of nylon ( =4.8 times 10^{11} N m^{-2} ) and Poisson’s ratio of nylon ( =0.2 ) ) A. ( 8.8 times 10^{-9} mathrm{m} ) в. ( 7.4 times 10^{-9} mathrm{m} ) c. ( 6.4 times 10^{-8} mathrm{m} ) D. ( 5.6 times 10^{-9} mathrm{m} ) |
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450 | The Poisson’s ratio of a material is ( 0.8 . ) If a force is applied to a wire of this material decreases its cross-sectional area by ( 4 %, ) then the percentage increase in its length will be. A . ( 1 % ) B. 2% ( c .2 .5 % ) D. ( 4 % ) |
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451 | Figure shows the strain-stress curve for a given material. The Young’s modulus of the material is ( mathbf{A} cdot 5 times 10^{9} N quad m^{-2} ) B . ( 5 times 10^{10} N quad m^{-2} ) ( begin{array}{lll}text { С. } 7.5 times 10^{9} N & m^{-2}end{array} ) D. ( 7.5 times 10^{10} N quad m^{-2} ) |
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452 | Find the depth of a lake at which density of water is ( 1 % ) greater than at the surface. Given compressibility ( K= ) ( 50 times 10^{-6} / ) atm |
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453 | The property of metals which allows them to be drawn readily into thin wires is: A. elasticity B. ductility c. hardness D. malleability |
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454 | One end of a steel rectangular girder is embedded into a wall (figure shown above). Due to gravity it sags slightly. Find the radius of curvature of the neutral layer (see the dotted line in the figure above) in the vicinity of the point ( O ) if the length of the protruding section of the girder is equal to ( l=6.0 m ) and the thickness of the girder equals ( h= ) ( 10 mathrm{cm} ) |
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455 | The fractional increase in volume of a wire of circular cross section, if its lingitudinal strain is ( 1 %(sigma=0.3) ) A . 0.4 B. 0.04 c. 0.004 D. 4 |
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456 | Q Type your question steel, a student can record the following values: length of wire ( mathrm{I}=left(ell_{0} pm Delta mathrm{I}right) boldsymbol{m} ) diameter of wire ( boldsymbol{d}=left(boldsymbol{d}_{0} pm boldsymbol{Delta} boldsymbol{d}right) mathrm{mm} ) force applied to wire ( boldsymbol{F}=left(boldsymbol{F}_{0} pm boldsymbol{Delta} boldsymbol{F}right) boldsymbol{N} ) extension of wire ( e=left(e_{0} neq Delta eright) mathrm{mm} ) In order to obtain more reliable value for ( Y, ) the following three techniques are suggested Technique (i) A shorter wire Is to be used. |
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457 | An aluminium wire and steel wire of the same length and cross section are joined end to end.The composite wire is hung from a rigid support and a load is suspended from the free end. The young’s modulus of steel is ( 20 / 7 ) times the aluminium. The ratio of |
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458 | The temperature of a wire is doubled. The Young’s modulus of elasticity will? A. also double B. become four times c. remain same D. decrease |
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459 | The graph shows the behaviour of a steel wire in the region for which the wire obeys Hooke’s law.The graph is a part of a parabola. The variables x and y might represent A. ( x= ) stress ( ; y= ) strain B. ( x= ) strain ; ( y=operatorname{str} e s ) c. ( x= ) strain ( ; y= ) elastic energy D. ( x= ) elastic energy ( ; y= ) strain |
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460 | A sphere contracts in volume by ( 0.01 % ) when taken to the bottom of lake ( 1 k m ) deep. If the density of water is ( 1 g m / c c ) the bulk modulus of water is A ( cdot 9.8 times 10^{5} mathrm{N} / mathrm{m}^{2} ) B. ( 9.8 times 10^{8} mathrm{N} / mathrm{m}^{2} ) c. ( 9.8 times 10^{10} mathrm{N} / mathrm{m}^{2} ) D. 9.8 ( times 10^{6} mathrm{N} / mathrm{m}^{2} ) |
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461 | A uniform rod of length ( L ) and density ( rho ) is being pulled along a smooth floor with a horizontal acceleration ( a ). Find the magnitude of the stress at the transverse cross section through the mid-point of the rod. |
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462 | When the load on a wire is increased from ( 3 k g w t ) to ( 5 k g w t ) the elongation increases from 0.61 ( m m ) to ( 1.02 m m ) The required work done during the extension of the wire is: A ( cdot 16 times 10^{-3} J ) В. ( 8 times 10^{-2} J ) c. ( 20 times 10^{-2} J ) D. ( 11 times 10^{-3} J ) |
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463 | Choose the correct statements from the following: This question has multiple correct options A. Steel is more elestic than rubber B. Fluids have Youngs modulus as well as shear modulus C. Solids have Youngs modulus, bulk modulus as well as shear modulus D. Bulk modulus of water is greater than that of copper. |
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464 | A rubber cord of length ( 40 mathrm{cm} ) and area of cross section ( 4 times 10^{-6} mathrm{m}^{2} ) is extended by 10cm. If the energy gained is 20 joule young’s modulus of rubber is ( mathbf{A} cdot 10^{8} N m^{-2} ) B . ( 2 times 10^{8} mathrm{Nm}^{-2} ) ( mathbf{c} cdot 4 times 10^{8} mathrm{Nm}^{-2} ) D. ( 1.5 times 10^{6} N m^{-2} ) |
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465 | Longitudinal strain is calculated using the formula A. Change in length/ original length B. original length/change in length c. original length ( times ) change in length D. original length – change in length |
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466 | Two wires of the same material and length are stretched by the same force. Their masses are in the ratio ( 3: 2 . ) Their elongations are in the ratio A .3: 2 B. 9: 4 c. 2: 3 D. 4: 9 |
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467 | What do you mean by elastic bodies and plastic. | 11 |

468 | When a weight ( mathrm{W} ) is hung from one end of a wire of length ( L ) (other end being fixed), the length of the wire increases by 1. If the same wire is passed over a pulley and two weights Weach are hung at the two ends, what will be the total elongation in the wire? |
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469 | Which of the following deformations is/are irreversible? This question has multiple correct options A. Elastic deformation B. Plastic deformation c. Fracture D. All of the above |
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470 | Two different types of rubber are found to have the stress-strain curve as shown. Then A. ( A ) is suitable for shock absorber B. ( B ) is suitable for shock absorber ( mathrm{c} . B ) is suitable for car types D. None of these |
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471 | State whether true or false: The metal used in construction of a bridge should have high Young’s modulus. A. True B. False |
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472 | A wire is subjected to a tensile stress. If A represents area of cross-section, represents original length, I represents extension and Y is Young’s modulus of elasticity, then elastic potential energy of the stretched wire is ( mathbf{A} cdot U=frac{2 L}{A Y} I^{2} ) B ( cdot U=frac{A L}{2 Y} I^{2} ) ( mathbf{c} cdot U=frac{A Y}{2 L} I^{2} ) D. ( U=frac{1}{4} frac{A Y}{L} I^{2} ) |
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473 | A mild steel wire of length ( 1.0 mathrm{m} ) and cross-sectional area ( 0.50 times 10^{-2} mathrm{cm}^{2} ) is stretched, well within its elastic limit, horizontally between two pillars. A mass of ( 100 mathrm{g} ) is suspended from the mid-point of the wire. Calculate the depression at the mid-point. |
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474 | The Young’s modulus of a wire of length ( boldsymbol{L} ) and radius ( boldsymbol{r} ) is ( boldsymbol{Y} boldsymbol{N} / boldsymbol{m}^{2} . ) The length and radius are reduced to ( frac{L}{6} ) and ( frac{r}{6} ) then its Young’s modulus is : ( A cdot 6 Y ) в. ( frac{Y}{6} ) ( c cdot Y ) D. ( 3 Y ) |
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475 | When a metal wire is stretched by a load, the fractional change in its volume ( Delta V / V ) is proportional to? ( ^{mathrm{A}} cdot-frac{Delta l}{l} ) ( ^{mathrm{B}}left(frac{Delta l}{l}right)^{2} ) c. ( sqrt{Delta l / l} ) D. None of these |
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476 | Let L be the length and d be the diameter of cross-section of a wire. Wires of the same material with different L and d are subjected to the same tension along the length of the wire. In which of the following cases, the extension of wire will be the maximum? A. ( L=200 mathrm{cm}, d=0.5 mathrm{mm} ) в. ( L=300 mathrm{cm}, d=1.0 mathrm{mm} ) c. ( L=50 mathrm{cm}, d=0.05 mathrm{mm} ) D. ( L=100 mathrm{cm}, d=0.2 mathrm{mm} ) |
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477 | Identical springs of steel and copper ( left(boldsymbol{Y}_{text {steel}}>boldsymbol{Y}_{text {copper}}right) ) are equally stretched then: A. Less work is done on copper spring B. Less work is done on steel spring c. Equal work is done on both the springs D. Data is incomplete |
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478 | A wire of uniform cross section is hanging vertically and due to its own weight its length changes. There is a point ‘C’ on the wire such that change in length AC is equal to the change in length BC. Points ( A, B ) and ( C ) are shown in the figure. Find ( frac{boldsymbol{A C}}{boldsymbol{B C}} ) A ( cdot sqrt{2}-1 ) B. ( frac{sqrt{2}-1}{sqrt{2}+1} ) c. ( frac{sqrt{2}+1}{sqrt{2}-1} ) D. None of these |
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479 | A steel rod of length ( I, ) area of cross section ( A, ) Young’s modulus ( E ) and linear coefficient of expansion a is heated through ( t^{circ} C . ) The work that can be performed by the rod when heated is A ( cdot(E A a t) times(l a t) ) B ( cdot frac{1}{2}(E A a t) times(l a t) ) c. ( frac{1}{2}(E A a t) times frac{1}{2}(l a t) ) D. 2(EAat)(lat) |
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480 | If ‘S’ is stress and ‘Y’ is Young’s modulus of a wire material, then energy stored in the wire per unit volume, is? A ( cdot frac{s^{2}}{2 Y} ) в. ( frac{2 Y}{S^{2}} ) c. ( frac{s}{2 Y} ) ( mathbf{D} cdot 2 S^{2} Y ) |
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481 | In the Searle’s method to determine the Young’s modulus of a wire, a steel wire of length ( 156 c m ) and diameter ( 0.054 mathrm{cm} ) is taken as experimental wire the average increase in length for 1.5 ( k g w t ) is found to be ( 0.050 c m ). then the Ypung’s modulus of the wire is A ( .3 .002 times 10^{11} N / m^{2} ) В. ( 1.002 times 10^{11} N / m^{2} ) c. ( 2.002 times 10^{11} N / m^{2} ) D. ( 2.5 times 10^{11} N / m^{2} ) |
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482 | A block of weight ( 100 mathrm{N} ) is suspended by copper and steel wires of same cross sectional area ( 0.5 mathrm{cm}^{2} ) and, length ( sqrt{3} m ) and ( 1 m, ) respectively. Their other ends are fixed on a ceiling as shown in figure. The angles subtended by copper and steel wires with ceiling are ( 30^{circ} ) and ( 60^{circ} ) respectively. If elongation in copper wire is ( left(Delta l_{C}right) ) and elongation in steel wire is ( left(Delta l_{S}right), ) then the ratio ( frac{Delta l_{C}}{Delta l_{S}} ) is (Young’s modulus for copper and steel ( operatorname{are} 1 times 10^{11} N / m^{2} ) and ( 2 times 10^{11} N / m^{2} ) respectively) |
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483 | Assuming that shear stress at the base of a mountain is equal to the force per unit area due to its weight. Calculate the maximum possible height of a mountain on the earth if breaking stress of a typical rock is ( 3 times 10^{8} N m^{-2} ) and its density is then ( 3 times 10^{3} k g quad m^{-3} ) (Take ( left.g=10 m s^{-2}right) ) ( A .4 k m ) в. ( 8 k m ) c. ( 10 k m ) D. ( 16 k m ) |
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484 | Define Poisson’s ratio. | 11 |

485 | Assertion (A): Stress is restoring force per unit area.
Reason (R) : Interatomic forces in solids |
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486 | Which one of the following is not a unit of Young’s modulus? ( mathbf{A} cdot N m^{-1} ) B. ( N m^{-2} ) c. mega pascal D. dyne ( c m^{-2} ) |
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487 | One end of a uniform bar of weight ( boldsymbol{w}_{1} ) is suspended from the roof and a weight ( boldsymbol{w}_{2} ) is suspended from the other end, the area of cross-section is A. What is the stress at the mid point of the rod? A. ( frac{w_{1}+w_{2}}{A} ) в. ( frac{w_{1}-w_{2}}{A} ) c. ( frac{left(w_{1} / 2right)+w_{2}}{A} ) D. ( frac{w_{2} / 2+w_{1}}{A} ) |
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488 | When a uniform wire of radius r is stretched by a ( 2 k g ) weight, the increase in its length is 2.00 mm. If the radius of the wire is ( r / 2 ) and other conditions remain in the same, increase in its length is A. ( 2.00 mathrm{mm} ) в. ( 4.00 mathrm{mm} ) c. ( 6.00 m m ) D. ( 8.00 m m ) |
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489 | A 6 -kg weight is fastened to the end of a steel wire of un-stretched length ( 60 mathrm{cm} ) It is whirled in a vertical circle and has an angular velocity of 2 revolution per second at the bottom of the circle. The area of cross-section of the wire is ( 0.05 c m^{2} . ) Calculate the elongation of the wire when the weight is at the lowest point of the path. Young’s modulus of steel ( =2 times 10^{11} mathrm{Pa} ) |
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490 | Assertion Brittle materials do not exhibit an identifiable yield point; rather, they fail by brittle fracture. Reason The value of the largest stress in tension and compression defines the ultimate strength. A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion c. Assertion is correct but Reason is incorrect D. Both Assertion and Reason are incorrect |
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491 | Two wires of equal length and cross- sectional area are suspended as shown in figure. Their Young’s modulii are ( Y_{1} ) and ( Y_{2} ) respectively. The equivalent Young’s modulii will be: A ( cdot Y_{1}+Y_{2} ) B. c. ( frac{Y_{1}+Y_{2}}{2} ) D. ( sqrt{Y_{1} Y_{2}} ) |
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492 | The amount of work done in increasing the length of a wire through ( 1 mathrm{cm} ) will be A. ( frac{Y A}{2 L} ) в. ( frac{Y L}{2 A} ) c. ( frac{Y L^{2}}{2 A} ) D. None of these |
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493 | State whether the following statements are true or false with reasons. When a wire is loaded beyond the elastic limit and then deloaded. the work done disappears completely as heat A. True B. False |
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494 | The proportional limit of steel is ( 8 x ) ( 10^{8} N / m^{2} ) and its Young’s modulus is ( mathbf{2} times mathbf{1 0}^{11} mathbf{N} / mathbf{m}^{2} . ) The maximum elongation, a one metre long steel wire can be given without exceeding the proportional limit is ( A cdot 2 m m ) B. ( 4 mathrm{mm} ) ( mathrm{c} cdot 1 mathrm{mm} ) D. 8 mm |
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495 | Longitudinal strain is possible in A. Liquid B. Gases c. Solid D. All of these |
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496 | A copper wire and a steel wire of the same length and same cross section are joined end to end to form a composite wire. The composite wire is hung from a rigid support and a load is suspended from the other end. If the increase in length of the composite wire is 2.4 mm, then the increase in lengths of steel and copper wires are: ( left(Y_{c u}=10 times 10^{10} N / m^{2}, Y_{s t e e l}=2 timesright. ) ( left.10^{11} N / m^{2}right) ) ( mathbf{A} cdot 1.2 m m, 1.2 m m ) в. ( 0.6 mathrm{mm}, 1.8 mathrm{mm} ) c. ( 0.8 m m, 1.6 m m ) D. ( 0.4 mathrm{mm}, 2.0 mathrm{mm} ) |
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497 | The length of a metal wire is ( l_{1} ) when the tension in it is ( F_{1} ) and ( l_{2} ) when the tension is ( F_{2} ). Then original length of the wire is: A. ( frac{l_{1} F_{1}+l_{2} F_{2}}{F_{1}+F_{2}} ) в. ( frac{l_{2}-l_{1}}{F_{2}-F_{1}} ) c. ( frac{l_{1} F_{2}-l_{2} F_{1}}{F_{1}-F_{2}} ) D. ( frac{l_{1} F_{1}-l_{2} F_{2}}{F_{2}-F_{1}} ) |
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498 | A vertical steel post of diameter ( 25 mathrm{cm} ) and length ( 2.5 m ) supports a weight of ( 8000 k g . ) Find the change in length produced. (Given ( left.boldsymbol{Y}=mathbf{2} times mathbf{1 0}^{mathbf{1 1}} boldsymbol{P a}right) ) ( A cdot 2.1 mathrm{cm} ) B. 0.21 ( mathrm{cm} ) c. ( 0.21 mathrm{mm} ) D. 0.021 mm |
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499 | Force vs Elongation graph of a wire is shown in the figure for two different temperatures ( boldsymbol{T}_{1} & boldsymbol{T}_{2}, ) then A ( cdot T_{1}=T_{2} ) В ( cdot T_{1}T_{2} ) D. cannot be predicted |
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500 | The stress required to double the length of wire (or) to produce ( 100 % ) Iongitudinal strain is: A. ( Y ) в. ( frac{Y}{2} ) ( c .2 Y ) D. ( 3 Y ) |
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501 | A uniform cylindrical wire of length ( 4 m ) and diameter ( 0.6 m m ) is stretched by a certain force such that its length is increased by ( 4 m m . ) If the Poisson’s ratio of the material is 0.3 then, calculate the change in diameter of the wire. |
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502 | The length of two wires are in the ratio ( 3: 4 . ) Ratio of the diameters is 1: 2 young’s modulus of the wires are in the ratio ( 3: 2 ; ) If they are subjected to same tensile force, the ratio of the elongation produced is A . 1: B. 1: 2 c. 2: 3 ( D cdot 2: ) |
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503 | A brass rod has a length of ( 0.2 m, ) area of cross section ( 1.0 mathrm{cm}^{2} ) and young’s modulus ( 10^{11} mathrm{Nm}^{-2} . ) If it is compressed by ( 5 k g ) weight along its length, then the change in its energy will be : A. an increase of ( 2.4 times 10^{-5} ) j B. a decrease of ( 2.4 times 10^{-5} mathrm{J} ) c. an increase of ( 2.4 times 10^{7} ) J D. a decrease of ( 2.4 times 10^{7} ) j |
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504 | When a wire is subjected to a force along its length, its length increases by ( 0.4 % ) and its radius decreases by ( 0.2 % ) Then the Poisons ratio of the material of the wire is A . 0.8 B. 0.5 ( c .0 .2 ) D. ( 0 . ) |
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505 | Which one is more elastic steel or rubber.Explain. |
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506 | Three bars having length ( l, 2 l ) and ( 3 l ) and area of cross-section ( A, 2 A ) and ( 3 A ) are joined rigidly and to end. Compound rod is subjected to a stretching force ( boldsymbol{F} ). The increase in length of rod is (Young’s modulles of material is ( Y ) and bars are massless) A ( cdot frac{13 F l}{2 A Y} ) в. ( frac{3 F l}{A Y} ) c. ( frac{9 F l}{A Y} ) D. ( frac{13 mathrm{Fl}}{mathrm{AY}} ) |
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507 | Region between elastic point and yield point is known as A. Elastoplastic region B. Electronegative region c. Electro ductile region D. Electro plating region |
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508 | A rubber cord catapult has cross- sectional area ( 25 mathrm{mm}^{2} ) and initial length of rubber cord is ( 10 mathrm{cm} . ) It is stretched to ( 5 mathrm{cm} ) and then released to project a missile of mass 5 g. Taking ( boldsymbol{Y}_{r u b b e r}=mathbf{5} times mathbf{1 0}^{8} boldsymbol{N} boldsymbol{m}^{-2}, ) velocity of projected missile is: A. ( 20 mathrm{ms}^{-1} ) B. ( 100 mathrm{ms}^{wedge}(-1) $ $ ) c. ( 250 mathrm{ms}^{-1} ) D. ( 200 mathrm{ms}^{-1} ) |
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509 | In materials like aluminium and copper, the correct order of magnitude of various elastic moduli is A. Young’s modulii < shear modulii < bulk modulii. B. Bulk modulii < shear modulii <Young's modulii c. shear modulii < Young's modulii < bulk modulii D. Bulk modulii <Young's modulii < shear modulii |
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510 | A steel cable with a radius ( 2 c m ) supports a chairlift at a ski area. If the maximum stress is not to exceed ( 10^{8} N quad m^{-2}, ) the maximum load the cable can support is A ( cdot 4 pi times 10^{5} N ) B ( cdot 4 pi times 10^{4} N ) C ( .2 pi times 10^{5} N ) D. ( 2 pi times 10^{4} N ) |
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511 | A steel girder can bear a load of 20 tons. If the thickness of girder is double, then for the same depression it can bear a load of : A. 40 ton B. 80 ton ( c . ) 160 ton ( D cdot 5 ) ton |
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512 | The compressibility of water is ( 4 times 10^{-5} ) per unit atmosphere pressure. The decrease in volume of ( 100 mathrm{cm}^{3} ) water under a pressure of 100atm will be A ( cdot 0.4 mathrm{cm}^{3} ) B. ( 4 times 10^{-5} mathrm{cm}^{3} ) c. ( 0.025 mathrm{cm}^{3} ) D. ( 0.04 mathrm{cm}^{3} ) |
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513 | A spring of spring constant ( 5 times 10^{3} mathrm{Nm}^{-1} ) is stretched initially by ( 5 c m ) from the unstretched position. Then the work required to stretch it further by another ( 5 c m ) is A. ( 6.25 N m ) B . ( 12.50 mathrm{Nm} ) c. ( 18.75 N m ) D. ( 25.00 N m ) |
11 |

514 | The diagram shows the stress v/s strain curve for the materials ( A ) and ( B ). From the curve: A. ( A ) is brittle but ( B ) is ductile B. ( A ) is ductile and ( B ) is brittle c. Both ( A ) and ( B ) axe ductile D. Both ( A ) and ( B ) axe brittle strain |
11 |

515 | A ( 20 k g ) load is suspended from the lower end of a wire ( 10 mathrm{cm} ) long and ( 1 mathrm{mm} ) ( ^{2} ) in cross sectional area. The upper half of the wire is made of iron and the lower half with aluminium. The total elongation in the wire is ( left(Y_{i r o n}=20 times 10^{10} mathrm{N} / mathrm{m}^{2}, Y_{A l}=7 times 10^{10}right. ) ( left.mathrm{N} / mathrm{m}^{2}right) ) A ( cdot 1.92 times 10^{-4} mathrm{m} ) B. 17.8 ( times 10^{-3} mathrm{m} ) c. ( 1.78 times 10^{-3} mathrm{m} ) D. ( 1.92 times 10^{-3} mathrm{m} ) |
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516 | When a metallic wire is stretched with a tension ( T_{1} ) its length is ( l_{1} ) and with a tension ( T_{2} ) its length is ( l_{2} ). The original length of the wire is: A. ( frac{l_{1} T_{2}-l_{2} T_{1}}{T_{2}-T_{1}} ) в. ( frac{l_{1} T_{2}+l_{2} T_{1}}{T_{2}+T_{1}} ) c. ( sqrt{l_{1} l_{2}} ) D. ( frac{l_{1} l_{2}}{2} ) |
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517 | A metallic wire of young’s modulus Y and poisson’s ratio ( sigma ), length L and area of cross section A is stretched by a load of W kg. The increase in volume of the wire is: ( mathbf{A} cdot sigmaleft(W^{2} L / 2 A Y^{2}right) ) В ( cdot sigmaleft(W^{2} L / A Y^{2}right) ) c. ( sigmaleft(W^{2} L / 4 A Y^{2}right) ) D ( cdot sigmaleft(2 W^{2} L / A Y^{2}right) ) |
11 |

518 | The load versus elongation graph for four wires of the same materials shown in the figure. The thinnest wire is represented by the line: A. oc B. OD ( c cdot O A ) D. OB |
11 |

519 | A metallic rod undergoes a strain of ( 0.05 % . ) The energy stored per unit volume is ( left(Y=2 times 10^{11} mathrm{Nm}^{-2}right) ) A ( cdot 0.5 times 10^{4} mathrm{Jm}^{-3} ) B . ( 0.5 times 10^{5} mathrm{Jm}^{-3} ) c. ( 2.5 times 10^{5} mathrm{Jm}^{-3} ) D. ( 2.5 times 10^{4} mathrm{Jm}^{-3} ) |
11 |

520 | A wire of length ( L ) and cross-sectional ( A ) is made of a material of Young’s modulus. If the wire is stretched by an amount ( x, ) the work done is |
11 |

521 | The Young’s modulus of a wire of length and radius ( r ) is ( Y N / m^{2} . ) If the length is reduced to ( L / 2 & ) radius to ( r / 2 ), then its Young’s modouls will be- A ( cdot frac{Y}{2} ) B. Y c. 2 y D. 4Y |
11 |

522 | When the tension in a metal wire is ( T_{1} ) its length is ( l_{t} ). When the tension is ( T_{2} ) its length is ( l_{2} ). The natural length of wire is ( ^{mathbf{A}} cdot frac{T_{2}}{T_{1}}left(l_{1}+l_{2}right) ) в. ( T_{1} l_{1}+i_{2} l_{2} ) c. ( frac{l_{1} T_{2}-l_{2} T_{1}}{T_{2}-T_{1}} ) D. ( frac{l_{T_{2}-l_{2} T_{1}}}{T_{2}+T_{1}} ) |
11 |

523 | A long elastic spring is stretched by ( 2 mathrm{cm} ) and its potential energy is ( U ). If the spring is stretched by ( 10 mathrm{cm} ), the P.E., will be A . ( 5 U ) в. ( 25 U ) c. ( U / 5 ) D. ( U / 20 ) |
11 |

524 | The increase in energy of a metal bar of length ‘L’ and cross-sectional area ‘A’ when compressed with a load ‘M’ along its length is (Y = Young’s modulus of the material of metal bar) ( ^{mathbf{A}} cdot frac{F L}{2 A Y} ) в. ( frac{F^{2} L}{2 A Y} ) c. ( frac{F L}{A Y} ) D ( cdot frac{F^{2} L^{2}}{2 A Y} ) |
11 |

525 | Assertion The linear portion of the stress-strain curve is the elastic region and the slope is the modulus of elasticity or Young’s Modulus. Reason Young’s Modulus is the ratio of the compressive stress to the longitudinal strain. A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion C. Assertion is correct but Reason is incorrect D. Both Assertion and Reason are incorrect |
11 |

526 | In the shown figure, length of the rod is ( L, ) area of cross-section ( A, ) Young’s modulus of the material of the rod is ( Y ). Then, ( B ) and ( A ) is subjected to a tensile force ( boldsymbol{F}_{A} ) while force applied at end ( B, F_{B} ) is lesser than ( F_{A} ). Total change in length of the rod will be ( A ) [ F_{A} times frac{L}{2 A Y} ] B. [ F_{B} times frac{L}{2 A Y} ] ( c ) [ frac{left(F_{A}+F_{B}right) L}{2 A Y} ] ( D ) [ frac{left(F_{A}-F_{B}right) L}{2 A Y} ] |
11 |

527 | Consider the following two statements A and B and identify the correct answer. A) We cannot define Young’s modulus and rigidity modulus for liquids and gases. B) The theoretical limits of Poisson’s ratio are 1 to 0.5 A. Both A & B are true B. A is false but B is true c. Both A & B are false D. A is true but B is false |
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528 | The stress versus strain graphs for wi shown in the figure. If ( Y_{A} ) and ( Y_{B} ) are then A. ( Y_{B}=2 Y_{A} ) B. ( Y_{A}=Y_{B} ) c. ( Y_{B}=3 Y_{A} ) D. ( Y_{A}=3 Y_{B} ) |
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529 | A wire is suspended vertically from one of its ends is stretched by attaching a weight of ( 200 mathrm{N} ) to the lower end. The wire stretches the wire by ( 1 mathrm{mm} ). The elastic energy stored in the wire is: | 11 |

530 | A rubber rope of length ( 8 m ) is hung from the ceiling of a room. What is the increase in length of rope due to its own weight? (Given : Young’s modulus of elasticity of rubber ( =mathbf{5} times mathbf{1 0 6} N / boldsymbol{m} ) and density of rubber ( =1.5 times ) ( left.mathbf{1 0}^{3} mathbf{k g} / boldsymbol{m}^{3} . text { Take } boldsymbol{g}=mathbf{1 0} boldsymbol{m} / boldsymbol{s}^{2}right) ) A ( .1 .5 mathrm{mm} ) B. ( 6 m m ) c. ( 24 m m ) D. ( 96 m m ) |
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531 | The length of a steel wire is ( l_{1} ) when the stretching force is ( T_{1} ) and ( l_{2} ) when the stretching force is ( T_{2} ) The natural length of the wire is ( ^{text {A } cdot frac{l_{1} T_{1}+l_{2} T_{2}}{T_{1}+T_{2}}} ) в. ( frac{l_{2} T_{1}+l_{2} T_{2}}{T_{1}+T_{2}} ) c. ( frac{l_{2} T_{1}+l_{2} T_{2}}{T_{1}-T_{2}} ) D. ( frac{l_{2} T_{1}-l_{1} T_{2}}{T_{1}-T_{2}} ) |
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532 | Assertion Spring balances show incorrect readings after using for a long time. Reason On using for a long time, springs in the balances lose their elastic strength A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion C. Assertion is correct but Reason is incorrect D. Both Assertion and Reason are incorrect |
11 |

533 | Prove ( boldsymbol{G}=frac{boldsymbol{E}}{mathbf{2}(mathbf{1}+boldsymbol{v})} ) | 11 |

534 | From the stress against strain graph, the behavior of the wire between elastic limit and yield point is : A. Perfectly elastic B. Formation of neck c. Perfectly plastic D. Elastic but with permanent deformation |
11 |

535 | A uniform rod of length ( 60 mathrm{cm} ) and mass ( 6 k g ) is acted upon by two forces as shown in the diagram. The force exerted by ( 45 mathrm{cm} ) part of the rod on ( 15 mathrm{cm} ) part of the rod is A. ( 9 N ) N В. ( 18 N ) c. ( 27 N ) D. 30N |
11 |

536 | When the temperature of a gas is ( 20^{0} C ) and pressure is changed from ( boldsymbol{P}_{1}= ) ( mathbf{1 . 0 1} times mathbf{1 0}^{mathbf{5}} boldsymbol{P a} ) to ( boldsymbol{P}_{mathbf{2}}=mathbf{1 . 1 6 5} times mathbf{1 0}^{mathbf{5}} boldsymbol{P a} ) then the volume changes by ( 10 % . ) The bulk modulus is A ( .1 .55 times 10^{5} mathrm{Pa} ) в. ( 1.05 times 10^{5} P a ) c. ( 1.4 times 10^{5} P a ) D. ( 0.115 times 10^{5} P a ) |
11 |

537 | The length of an elastic string is ( boldsymbol{X} boldsymbol{m} ) when the tension is ( 8 N, ) and ( Y m ) when the tension is ( 10 N . ) The length in metres when the tension is ( 18 N ) in terms of ( X ) and ( Y ) |
11 |

538 | Two persons pull a rope towards themselves. Each person exerts a force of ( 100 mathrm{N} ) on the rope. Find the Young modulus of the material of the rope if it extends in length by 1cm. (Original length of the rope ( =2 mathrm{m} ) and the area of ( operatorname{cross} operatorname{section}=2 c m^{2} ) |
11 |

539 | A uniformly tapering conical wire is made from a material of Young’s modulus ( Y ) and has a normal, unextended length ( L ). The radii, at the upper and lower ends of this conical wire, have values ( R ) and ( 3 R ) respectively. The upper end of the wire is fixed to a rigid support and a mass ( M ) is suspended from its lower end. The equilibrium extended length,of this wire, would equal to: A ( cdot Lleft(1+frac{1}{3} frac{M g}{pi Upsilon R^{2}}right) ) в. ( Lleft(1+frac{2}{9} frac{M g}{pi Upsilon R^{2}}right) ) c. ( _{L}left(1+frac{1}{9} frac{M g}{pi Upsilon R^{2}}right) ) D. ( Lleft(1+frac{2}{3} frac{M g}{pi Upsilon R^{2}}right) ) |
11 |

540 | The length of an elastic string is ( a ) metre when the longitudinal tension is ( 4 mathrm{N} ) and ( b ) metre when the longitudinal tension is 5 N. The length of the string in metre when longitudinal tension is ( 9 N ) is : ( mathbf{A} cdot a-b ) B. ( 5 b-4 a ) c. ( 2 b-frac{1}{4} a ) D. ( 4 a-3 b ) |
11 |

541 | The Young’s modulus of a rubber string ( 8 mathrm{cm} ) long and density ( 1.5 mathrm{kg} / mathrm{m}^{3} ) is ( 5 times ) ( 10^{8} N / m^{2}, ) is suspended on the ceiling in a room. The increase in length due to its own weight will be:- A ( cdot 9.6 times 10^{-5} m ) В. ( 9.6 times 10^{-11} m ) c. ( 9.6 times 10^{-3} m ) D. ( 9.6 mathrm{m} ) |
11 |

542 | In case of a liquid, A. only bulk modulus is defined B. only bulk and Young’s modulus are defined C. only bulk and shear modulus are defined D. Young’s modulus is defined but shear modulus is not defined |
11 |

543 | The elasticity of various materials is controlled by its A. Ultimate tensile stress B. Stress at yield point c. Stress at elastic limit D. Tensile stress |
11 |

544 | The load versus elongation graph for four wires of the same material and same length is shown in the figure. The thinnest wire is represented by the ine ( A cdot O A ) B. OB ( c cdot 0 c ) D. o |
11 |

545 | A wire stretches by a certain amount under a load. If the load ( & ) radius both are increased to 4 time. Find the stress cause in the wire. |
11 |

546 | A petite young woman of ( 50 k g ) distributes her weight equally over her high-heeled shoes. Each heel has an area of ( 0.75 mathrm{cm}^{2} . ) Find the pressure exerted by each heel? Take ( g=10 m / s^{2} ) A ( .6 .66 times 10^{6} P a ) B . ( 3.33 times 10^{6} P a ) c. ( 1.67 times 10^{6} P a ) D. ( 4.44 times 10^{6} mathrm{Pa} ) |
11 |

547 | A wire suspended from one end carries a sphere at its other end. The elongation in the wire reduces from 2mm to 1.6 ( m m ) on completely immersing the sphere in water. The density of the material of the sphere is A. ( 3200 mathrm{kg} / mathrm{m}^{3} ) в. ( 800 mathrm{kg} / mathrm{m}^{3} ) c. ( 1250 mathrm{kg} / mathrm{m}^{3} ) D. ( 5000 mathrm{kg} / mathrm{m}^{3} ) |
11 |

548 | Two wires of the same material and same mass are stretched by the same force. Their length are in the ratio 2: 3 Their elongations are in the ratio A .3: 2 B. 2: 3 c. 4: 9 D. 9: 4 |
11 |

549 | The difference between pressure and stress is A. pressure and stress have different units B. pressure and stress have different dimensions C. Force cannot be determined using stress, but in pressure it can be done D. Pressured is applied to a body, while stress is induced |
11 |

550 | In the figure shown, the plastic region occurs A. Before point ( A ) B. Beyond point A c. Between points A and D. Between points D and E |
11 |

551 | When a weight of ( 10 mathrm{kg} ) is suspended from a copper wire of length ( 3 m ) and diameter 0.4 mm. Its length increases by ( 2.4 mathrm{cm} . ) If the diameter of the wire is doubled, then the extension is its length will be : A ( .7 .6 mathrm{cm} ) в. ( 4.8 mathrm{cm} ) c. ( 1.5 mathrm{cm} ) D. ( 0.6 mathrm{cm} ) |
11 |

552 | If Young modulus is three times of modulus of rigidity, then Poisson ratio is equal to: A . 0.2 B. 0.3 ( c .0 .4 ) D. 0.5 |
11 |

553 | Poisson’ ratio is defined as the ratio of A. longitudinal stress and longitudinal strain B. Iongitudinal stress and lateral stress C. lateral stress and longitudinal stress D. lateral stress and lateral strain |
11 |

554 | A metal block is experiencing an atmospheric pressure of ( 1 times 10^{5} N / m^{2} ) when the same block is placed in a vaccum chamber the fractional change in its volume is (the bulk modulus of metal is ( left.1.25 times 10^{11} N / m^{2}right) ) A ( cdot 4 times 10^{-7} ) В. ( 2 times 10^{-7} ) c. ( 8 times 10^{-7} ) D. ( 1 times 10^{-7} ) |
11 |

555 | What amount of work is done in increasing the length of a wire through unity? A ( cdot frac{Y L}{2 A} ) в. ( frac{Y L^{2}}{2 A} ) c. ( frac{Y A}{2 L} ) D. ( frac{Y L}{A} ) |
11 |

556 | Two elastic wire ( A & B ) having length ( ell_{A}=2 m ) and ( ell_{B}=1.5 m ) and the ratio of young’s modules ( Y_{A}: Y_{B} ) is ( 7: 4 . ) If radius of wire ( Bleft(r_{B}right) ) is ( 2 m m ) then choose the correct value of radius of wire ( A . ) Given that due to application of the same force charge in length in both ( A & B ) is same A. ( 1.7 m m ) в. ( 1.9 m m ) ( c .2 .7 m m ) D. ( 2 m m ) |
11 |

557 | Assertion The stress-strain relationship in elastic region need not be linear and can be non-linear. Reason Steel has non linear,profile in elastic zone A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion c. Assertion is correct but Reason is incorrect D. Both Assertion and Reason are incorrect |
11 |

558 | The stress-strain graphs are shown in the figure for two materials ( A ) and ( B ) are shown in figure. Young’s modulus of ( boldsymbol{A} ) is greater than that of ( B ). Reason The Young’s modules for small strain is, ( Y=frac{text {stress}}{text {strain}}= ) slope of linear portion of graph; and slope of ( A ) is more than that of ( B ) A. STATEMENT-1 is True, STATEMENT-2 is True: STATEMENT-2 is a correct explanation for STATEMENT B. STATEMENT-1 is True, STATEMENT-2 is True STATEMENT-2 is NOT a correct explanation for STATEMENT-1 C. STATEMENT-1 is True, STATEMENT-2 is False D. STATEMENT-1 is False, STATEMENT-2 is True |
11 |

559 | Which of the following is an example of plastic deformation? A. stretching a rubber band B. stretching saltwater taffy c. none D. both |
11 |

560 | A rubber cord catapult has crosssection area ( 25 m m^{2} ) and initial length of rubber cord is ( 10 mathrm{cm} ). It is stretched to ( 5 c m ) and then released to project a missile of mass 5gm. Taking, ( boldsymbol{Y}_{text {rubber}}= ) ( 5 times 10^{8} N / m^{2}, ) velocity of projected missile is A ( cdot 20 m s^{-1} ) B. ( 100 mathrm{ms}^{-1} ) ( mathbf{c} cdot 250 m s^{-1} ) D. ( 200 m s^{-1} ) |
11 |

561 | The stress-strain graph for a metal wire is as shown in the figure. In the graph, the region in which Hooke’s law is obeyed, the ultimate strength and fracture points are represented by A. ( O A, C, D ) в. ( O B, D, E ) c. ( O A, D, E ) D. ( O B, C, D ) |
11 |

562 | A man grows into a giant such that his linear dimensions increases by a factor of ( 9 . ) Assuming that his density remains same, the stress in the leg will change by a factor of the A ( cdot frac{1}{81} ) B. 9 ( c cdot frac{1}{9} ) D. 81 |
11 |

563 | Define elasticity. | 11 |

564 | If in a wire of Young’s modulus ( Y ) longitudinal strain ( X ) is produced then the potential energy stored in its unit volume will be : A. ( 0.5 Y X^{2} ) 2 В. ( 0.5 Y^{2} X ) c ( .2 Y X^{2} ) D. ( Y X^{2} ) |
11 |

565 | A steel ring of radius ( r ) and cross sectional area ( A ) is fitted on to a wooden disc of radius ( boldsymbol{R}(boldsymbol{R}>boldsymbol{r}) . ) If Young;s modulus be ( Y ), then the force with which the steel ring is expanded, is ( ^{mathbf{A}} cdot_{A Y} frac{R}{r} ) в. ( quad A Yleft(frac{R-r}{r}right) ) c. ( frac{Y(R-r)}{A} frac{r}{r} ) D. ( frac{Y r}{A R} ) |
11 |

566 | Young’s modulus of rubber is ( 10^{4} N / m^{2} ) and area of cross section is ( 2 mathrm{cm}^{-2} ). If force of ( 2 times 10^{5} ) dyn is applied along its length, then its initial ( l ) becomes. A . ( 3 l ) в. ( 4 l ) ( c cdot 2 l ) D. None of these |
11 |

567 | A wire ( 1 m ) long has cross-section ( 1 m m^{2} ) and ( Y=1.2 times 10^{11} P a . ) Find the work done in stretching it by ( 2 m m ) A . 2.4 B. 0.24J c. 0.024J D. 1.2. |
11 |

568 | A 5 metre long wire is fixed to the ceiling. A weight of ( 10 k g ) is hung at the lower end and is 1 metre above the floor. The wire was elongated by 1 mm. The energy stored in the wire due to stretched is A . zero B. 0.05joule c. 100 joule D. 500 joule |
11 |

569 | A toy car travels in a horizontal circle of radius ( 2 a, ) kept on the track by a radial elastic string of unstretched length a. The period of rotation is T. Now the car is speeded up until it is moving in a circle of radius 3 a. Assuming that the string obeys Hooke’s law then the new period will be A ( cdot sqrt{frac{4}{3}} T ) B ( cdot frac{3^{2}}{3^{3}} T ) c. ( sqrt{frac{3}{2}} T ) D. ( frac{3}{4} T ) |
11 |

570 | Assertion To increase the length of a thin steel wire of ( 0.1 mathrm{cm}^{2} ) cross sectional area by ( 0.1 %, ) a force of ( 2000 N ) is required, its ( boldsymbol{Y}=mathbf{2 0 0} times mathbf{1 0}^{mathbf{9}} boldsymbol{N} boldsymbol{m}^{-mathbf{2}} ) Reason It is calculated by ( Y=frac{boldsymbol{F} times boldsymbol{L}}{boldsymbol{A} times boldsymbol{Delta} boldsymbol{L}} ) A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion C. Assertion is correct but Reason is incorrect D. Both Assertion and Reason are incorrect |
11 |

571 | The stress strain curve for two metals ( A ) and ( mathrm{B} ) are as shown in the figure. then A. A is ductile while B is brittle B. A is brittle while B is ductile c. Both ( A ) and ( B ) are ductile D. Both A and B are brittle |
11 |

572 | Two exactly similar wires of steel and copper are stretched by equal forces. If the total elongation is ( 2 mathrm{cm}, ) then how much is the elongation in steel and copper wire respectively? Given ( Y_{text {steel}} ) ( =20 times 10^{11} mathrm{dyne} / mathrm{cm}^{2}, Y_{text {copper}}=12 times 10^{11} ) dyne /cm ( ^{2} ) A . ( 1.25 mathrm{cm} ; 0.75 mathrm{cm} ) B. 0.75 ( mathrm{cm} ; 1.25 mathrm{cm} ) c. ( 1.15 mathrm{cm} ; 0.85 mathrm{cm} ) D. ( 0.85 mathrm{cm} ; 1.15 mathrm{cm} ) |
11 |

573 | The ratio of change in dimension at right angles to applied force to the initial dimension is defined as A. ( Y ) B. ( eta ) ( c cdot beta ) D. ( K ) |
11 |

574 | The following four wires are made of the same material. Which of these will have the largest extension when the same tension is applied? A. Length ( =50 mathrm{cm}, ) diameter ( =0.5 mathrm{mm} ) B. Length = 100 cm, diameter = 1 mm c. Length( =200 mathrm{cm}, ) diameter ( =2 mathrm{mm} ) D. Length ( =300 mathrm{cm}, ) diameter ( =3 mathrm{mm} ) |
11 |

575 | A force of ( 15 N ) increases the length of a wire by ( 1 mathrm{mm} . ) The additional force required to increase the length by ( 2.5 m m ) in ( N ) is A . 22.5 в. 37.5 c. 52.5 D. 75 |
11 |

576 | Q Type your question columns each of length ( l ), cross sectional radius ( r ) and young’s modulus ( Y ). What should be the minimum cross – section radius ( r, ) so that the beam bearing more load, can escape from buckling? ( left(frac{m g l^{2}}{pi^{3} Y}right)^{1 / 4} ) ( ^{mathrm{B}}left(frac{2 m g l^{2}}{3 pi^{3} Y}right)^{1 / 4} ) ( left(frac{m g l^{2}}{3 pi^{3} Y}right)^{1 / 4} ) ( left(frac{3 m g l^{2}}{2 pi^{3} Y}right)^{1 / 4} ) |
11 |

577 | What is the change in the volume of 1.0 L kerosene, when it is subjected to an extra pressure of ( 2.0 times 10^{5} N m^{-2} ) from the following data? Density of kerosene ( =800 mathrm{kg} mathrm{m}^{-3} ) and speed of sound in kerosene ( =1330 mathrm{ms}^{-1} ) ( A cdot 0.97 mathrm{cm}^{-3} ) B. ( 0.66 mathrm{cm}^{-3} ) c. ( 0.15 mathrm{cm}^{-3} ) D. ( 0.59 mathrm{cm}^{-3} ) |
11 |

578 | A ( 20 k g ) load is suspended from the lower end of a wire ( 10 mathrm{cm} ) long and ( 1 mathrm{mm} ) ( ^{2} ) in cross sectional area. The upper half of the wire is made of iron and the lower half with aluminium. The total elongation in the wire is ( left(Y_{i r o n}=20 times 10^{10} mathrm{N} / mathrm{m}^{2}, Y_{A l}=7 times 10^{10}right. ) ( left.mathrm{N} / mathrm{m}^{2}right) ) A ( cdot 1.92 times 10^{-4} mathrm{m} ) B. 17.8 ( times 10^{-3} mathrm{m} ) c. ( 1.78 times 10^{-3} mathrm{m} ) D. ( 1.92 times 10^{-3} mathrm{m} ) |
11 |

579 | A steel wire with cross section ( 3 mathrm{cm}^{2} ) has elastic limit ( 2.4 times 10^{8} ) Pa. Find the maximum upward acceleration that can be given to a ( 1200 k g ) elevator supported by this cable if the stress is not to exceed ( 1 / 3 r d ) of the elastic limit ( mathbf{A} cdot 9 m s^{-2} ) B. ( 10 mathrm{ms}^{-2} ) ( mathrm{c} cdot 11 mathrm{ms}^{-2} ) D. ( 12 mathrm{ms}^{-2} ) |
11 |

580 | A steel cable with a radius of ( 1.5 mathrm{cm} ) supports a chairlift at a ski area. If the maximum stress is not to exceed ( 10^{8} N m^{-2}, ) what is the maximum load the cable can support? |
11 |

581 | Two opposite forces ( boldsymbol{F}_{1}= ) ( 120 N ) and ( F_{2}=80 N ) act on an heavy elastic plank of modulus of elasticity ( boldsymbol{y}=boldsymbol{2} times mathbf{1 0}^{11} boldsymbol{N} / boldsymbol{m}^{2} ) and length ( boldsymbol{L}=mathbf{1} boldsymbol{m} ) placed over a smooth horizontal surface. The cross-sectional area of plank is ( A=0.5 m^{2} . ) If the change in the length of plank is (in ( mathrm{nm} ) ) ( A ) B. 0.5 ( c cdot 5 ) ( D ) |
11 |

582 | A wire of cross section ( A ) is stretched horizontally between two clamps located ( 2 l ) m apart. A weight ( W ) kg is suspended from the mid-point of the wire. If the mid-point sags vertically through a distance ( x<1 ) the strain produced is A ( cdot frac{2 x^{2}}{l^{2}} ) в. ( frac{x^{2}}{l^{2}} ) c. ( frac{x^{2}}{2 l^{2}} ) D. None of these |
11 |

583 | How much pressure should be applied on a litre of water if it is to be compressed by ( 0.1 % ? ) (Bulk moduls of water ( =2100 M P a) ) A ( .2100 k P a ) в. ( 210 k P a ) c. ( 2100 M P a ) D. ( 210 M P a ) |
11 |

584 | A rigid bar of mass ( 15 k g ) is supported symmetrically by three wires each ( 2 m ) long. Those at each end are of copper and the middle one is of iron. Determine the ratio of their diameters if each is to have the tension? (Given E for copper = ( 110 times 10^{9} N / m^{2} ) and ( E ) for iron ( =190 times ) ( mathbf{1 0}^{mathbf{9}} mathbf{N} / boldsymbol{m}^{mathbf{2}} ) A . 12.6: 2 в. 1.31: 1 c. 4.65: 3 D. 2.69 : 4 |
11 |

585 | A solid sphere of radius ( R ) made of a material of bulk modulus ( K ) is surrounded by a liquid in cylindrical container. A massless piston of area ( boldsymbol{A} ) floats on the surface of the liquid. When a mass ( M ) is placed on the piston to compress the liquid, the fractional change in the radius of the sphere, ( delta R / R, ) is |
11 |

586 | A spring with force content ( k ) is initially stretched by ( x_{1} . ) If it is further stretched by ( x_{2}, ) then the increase in its potential energy is. A ( cdot frac{1}{2} kleft(x_{2}^{2}-x_{1}^{2}right) ) B ( cdot frac{1}{2} k x_{2}left(x_{2}-2 x_{1}right) ) ( mathbf{c} cdot frac{1}{2} k x_{1}^{2}-frac{1}{2} k x_{2}^{2} ) D・frac{ } { frac { 1 } { 2 } } x _ { 1 } ( x _ { 1 } + x _ { 2 } ) ^ { 2 } |
11 |

587 | Plastic deformation results from the following A. Slip B. Twinning c. Both slip and twinning D. creep |
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588 | A wire suspended vertically from one of its ends stretched by attaching a weight of ( 200 N ) to the lower end. The weight stretches the wire by 1 mm. Then the elastic energy stored in the wire is: A. 0.25 J ( J ) в. ( 10 J ) ( c .20 J ) D. ( 0.1 J ) |
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589 | A beam of metal supported at the two edges is loaded at the centre. The depression at the centre is proportional to ( mathbf{A} cdot Y^{2} ) в. ( Y ) c. ( 1 / Y ) D. ( 1 / Y^{2} ) |
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590 | A uniform cube is subjected to volume compression. Each side gets decreased by ( 1 %, ) then the bulk strain is A . 0.01 B. 0.03 c. 0.06 D. 0.09 |
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591 | An iron rod of length ( 2 mathrm{m} ) and cross sectional area of ( 50 mathrm{mm}^{2} ) stretched by 0.5mm, when a mass of 250 kgis hung from its lower end. Young’s modulus of iron rod is ( mathbf{A} cdot 19.6 times 10^{20} N / m^{2} ) B . ( 19.6 times 10^{18} N / m^{2} ) C ( cdot 19.6 times 10^{10} N / m^{2} ) D. ( 19.6 times 10^{15} N / m^{2} ) |
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592 | A fixed volume of iron is drawn into a wire of length ( l ). The extension produced in this wire by a constant force ( boldsymbol{F} ) is proportional to : A ( cdot frac{1}{l^{2}} ) B. ( frac{1}{l} ) ( c cdot l^{2} ) D. ( l ) |
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593 | For which of the following is the modulus of rigidity highest? A. glass B. quartz c. rubber D. water |
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594 | When a tension ( F ) is applied, the elongation produced in uniform wire of length ( L, ) radius ( r ) is ( e . ) When tension ( 2 F ) is applied, the elongation produced in another uniform wire of length ( 2 L ) and radius ( 2 r ) made of same material is: A . ( 0.5 e ) B. ( 1.0 e ) c. ( 1.5 e ) D. ( 2.0 e ) |
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595 | A steel wire of diameter ( d=1.0 ) mm is stretched horizontally between two clamps located at the distance ( l= ) ( 2.0 m ) from each other. A weight of mass ( boldsymbol{m}=mathbf{0 . 2 5} boldsymbol{k g} ) is suspended from the midpoint ( O ) of the wire. What will the resulting descent of the point ( O ) be in millimetres?E=2 ( times 10^{11} N / m^{2} ) |
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596 | Assertion Stress is the internal force per unit area of a body. Reason Rubber is more elastic than steel. A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion C. Assertion is correct but Reason is incorrect D. Both Assertion and Reason are incorrect |
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597 | Point out the wrong statement about the magnetic properties of soft iron and steel A. Retentivity of soft iron is more than retentivity of stee B. Coercivity of soft iron is less than coercivity of steel c. Area of B-H loop in soft iron is smaller than the area of B-H loop for steel D. Area of B-H loop in soft iron is greater than the area of B-H loop for steel |
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598 | A cast iron column has an internal diameter of 200 mm. What should be the minimum external diameter (in ( mathrm{m} ) so that it may carry a load of 1.6 million ( N ) without the stress exceeding ( 90 N / m m^{2} ? ) (round off your answer to nearest integer) |
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599 | The Young’s modulus of a wire of length ( L ) and radius ( r ) is ( Y ). If the length is reduced to ( frac{L}{2} ) and radius is ( frac{r}{2}, ) then the Young’s modulus will be A ( frac{Y}{2} ) в. ( Y ) ( c .2 Y ) D. ( 4 Y ) |
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600 | Shearing stress causes change in A . Length B. Breadth c. shape D. Volume |
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601 | Select the correct alternative(s). A. Elastic forces are always conservative B. Elastic forces are not always conservative C. Elastic forces are conservative only when Hooke’s law is obeyed D. Elastic forces may be conservative even when Hooke’s law is not obeyed |
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602 | Three equal masses ( 3 k g ) are connected by massless string of cross-sectional area ( 0.005 c m^{2} ) and Young’s modulus ( 2 times 10^{11} N m^{2} . ) In the absence of friction the longitudinal strain in the wire: ( mathbf{A} cdot A ) is ( 10^{-4} ) B. ( B ) is ( 2 times 10^{-4} ) ( c . ) Both a and ( b ) D. None of these |
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603 | A copper wire of length ( 2.4 m ) and a steel wire of length ( 1.6 m, ) both the diameter ( 3 m m, ) are connected end to end. When stretched by a load, the net elongation is found to be ( 0.7 m m ). The load applied is ( left(boldsymbol{Y}_{text {copper}}=mathbf{1 . 2} times mathbf{1 0}^{mathbf{1 1}} mathbf{N} quad boldsymbol{m}^{-2}, boldsymbol{Y}_{text {steel}}=right. ) A . ( 1.2 times 10^{2} N ) B. ( 1.8 times 10^{2} N ) c. ( 2.4 times 10^{2} N ) D. ( 3.2 times 10^{2} N ) |
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604 | A cube of sponge rubber with edge length ( 5 mathrm{cm} ) has a force of ( 2 mathrm{N} ) applied horizontally to the top face (parallel to an edge) while the bottom face is held fixed. If the top face is displaced horizontally through a distance of ( 1 mathrm{mm} ) find the shear modulus for the sponge rubber. A. ( S=7 times 10^{4} N m^{-2} ) B. ( S=6 times 10^{4} N m^{-2} ) c. ( S=4 times 10^{4} N m^{-2} ) D. ( S=5 times 10^{4} N m^{-2} ) |
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605 | Two wires of the same material (young’s modules ( Y ) ) and same length ( L ) but radii ( R ) and ( 2 R ) respectively are joined end to end and a weight ( W ) is suspended from the combination as shown in the figure. the elastic potential energy in the system in equilibrium is A ( cdot frac{3 W^{2} L}{4 pi R^{2} Y} ) В ( cdot frac{3 W^{2} L}{8 pi R^{2} Y} ) ( ^{mathbf{C}} cdot frac{5 W^{2} L}{8 pi R^{2} Y} ) ( ^{mathrm{D}} cdot frac{W^{2} L}{pi R^{2} Y} ) |
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606 | On stretching a wire, the elastic energy stored per unit volume is A. ( F l / 2 A L ) в. ( F A / 2 L ) c. ( F L / 2 A ) D. ( F L / 2 ) |
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607 | A uniform cube is subjected to volume compression. If each side is decreased by ( 1 % ), then bulk strain is : A . 0.01 B. 0.06 ( c .0 .02 ) D. 0.03 |
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608 | When the load on a wire is slowly increased from 3 to ( 5 k g w t, ) the elongation increases from 0.61 to 1.02mm. The work done during the extension of wire is ( mathbf{A} cdot 0.16 J ) в. ( 0.016 J ) c. 1.6 .5 D. 16.5 |
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609 | A stone of mass ( m ) tied to one end of a wire of length ( L ). The diameter of the wire is ( D ) and it is suspended vertically. The stone is now rotated in a horizontal plane and makes an angle ( theta ) with the vertical. If Young’s modulus of the wire is ( Y, ) then the increase in the length of the wire is then ( ^{mathbf{A}} cdot frac{4 m g L}{pi D^{2} Y} ) B. ( frac{4 m g L}{pi D^{2} Y sin theta} ) c. ( frac{4 m g L}{pi D^{2} Y cos theta} ) D. ( frac{4 m g L}{pi D^{2} Y tan theta} ) |
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610 | A steel wire of length ( 30 mathrm{cm} ) is stretched ti increase its length by ( 0.2 mathrm{cm} ). Find the lateral strain in the wire if the poisson’s ratio for steel is 0.19: A . 0.0019 B. 0.0008 c. 0.019 D. 0.008 |
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611 | The ability of the material to deform without breaking is called: A. Elasticity B. Plasticity c. Creep D. None of these |
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612 | The force required to double the length of a steel wire of area of cross-section ( 5 times 10^{-5} m^{2}(text { in } N) ) is : ( left(Y=20 times 10^{10} P aright) ) A . ( 10^{7} ) B . ( 10^{6} ) ( mathrm{c} cdot 10^{-7} ) D. ( 10^{5} ) |
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613 | A wire of cross section ( A ) is stretched horizontally between two clamps located ( 2 l m ) apart. A weight ( W k g ) is suspended from the mid-point of the wire.If the Young’s modulus of the material is ( Y, ) the value of extension ( x ) is ( ^{mathrm{A}} cdotleft(frac{W l}{Y A}right)^{1 / 3} ) ( mathbf{B} cdotleft(frac{Y A}{W I}right)^{1 / 3} ) c. ( frac{1}{l}left(frac{W l}{Y A}right)^{2 / 3} ) ( ^{mathrm{D}} cdotleft(frac{W}{Y A}right)^{2 / 3} ) |
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614 | Define stress and explain the types of stress |
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615 | A load of ( 10 mathrm{kg} ) is suspended by a metal wire 3 m long and having a cross- sectional are ( 4 m m^{2} . ) Find (a) the stress (b) the strain and (c) the elongation. Young modulus of the metal is ( 2.0 times ) ( 10^{11} N m^{-2} ) |
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616 | A wire elengates by Imm when a weight w is hanged than it. If wire goes over a pulley and 2 weights W each are huge at two ends. What will be elongations of wire is mm? | 11 |

617 | A ( 30.0 mathrm{kg} ) hammer, moving with speed speed ( 20.0 m s^{-1}, ) strikes a steel Spike ( 2.30 mathrm{cm} ) in diameter. The hammer rebounds with speed ( 10.0 mathrm{ms}^{-1} ) after 0.110 s.What is the average Strain in the Spike during the impact? |
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618 | A metal rod of Young’s modulus ( 2 times ) ( 10^{10} N m^{-2} ) undergoes an elastic strain of ( 0.06 % ). The energy per unit volume stored in ( J m^{-3} ) is A. 3600 в. 7200 c. 10800 D. 14400 |
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619 | If a wire having initial diameter of ( 2 m m ) produced the longitudinal strain of 0.1 ( %, ) then the final diameter of wire is ( (sigma=mathbf{0 . 5}) ) A ( .2 .002 m m ) B. ( 1.999 mathrm{mm} ) c. ( 1.998 mathrm{mm} ) D. ( 2.001 m m ) |
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620 | Longitudinal strain is possible in: A . Gases B. Liquids c. Solids D. All of these |
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621 | Assertion (A) : The elastic potential energy of a spring increases when it is elongated and decreases when it is compressed Reason (R) : Work done on spring is stored in it as elastic potential energy. A. Both assertion and reason are true and the reason is correct explanation of the assertion B. Both assertion and reason are true, but reason is not correct explanation of the assertion c. Assertion is true, but the reason is false D. Assertion is false, but the reason is true |
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622 | The radii and Young’s modulus of two uniform wires ( A & B ) are in the ratio 2: 1 and 1: 2 respectively. Both the wires are subjected to the same longitudinal force. If increase in the length of wire ( A ) is ( 1 % ). Then the percentage increase in length of wire ( B ) is : A . 1 в. 1.5 ( c cdot 2 ) ( D ) |
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623 | Four wires ( P, Q, R ) and ( S ) of same materials have diameters and stretching forces as shown below. Arrange their strains in the decreasing order. ( begin{array}{lll}text { Wire } & text { Diameter } & text { Stretching force } \ mathrm{P} & 2 mathrm{mm} & 10 mathrm{N} \ mathrm{Q} & 1 mathrm{mm} & 20 mathrm{N} \ mathrm{R} & 4 mathrm{mm} & 30 mathrm{N} \ mathrm{S} & 3 mathrm{mm} & 40 mathrm{N}end{array} ) ( A ) ( mathrm{Q}, mathrm{S}, mathrm{P}, mathrm{R} ) B. R,P,S,Q ( mathbf{c} . ) P,Q,R,S D. ( P, R, Q, S ) |
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624 | A spring with spring constants K when compressed by ( 1 mathrm{cm} ), the potential energy stored is U.If it is further compressed by ( 3 mathrm{cm}, ) then its final potential energy is A . ( 16 U ) в. ( 9 U ) c. ( 8 U ) D. ( 15 U ) |
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625 | Two copper wires having the length in ratio 4: 1 and their radii ratio as 1: 4 are stretched by the same force. Then the ratio of the longitudinal strain in the two will be ( mathbf{A} cdot 1: 16 ) B. 16: 1 ( mathbf{c} cdot 1: 64 ) D. 64: 1 |
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626 | A steel cylindrical rod of length ( l ) and radius ( r ) is suspended by its end from the ceiling. Find the elastic deformation energy ( U ) of the rod. A ( cdot U=frac{1}{6} pi r^{2} rho^{2} g^{2} frac{l^{3}}{E} ) B. ( U=frac{5}{6} pi r^{2} rho^{2} g^{2} frac{l^{3}}{E} ) ( ^{mathrm{C}} U=frac{1}{6} pi r^{2} rho^{2} g^{2} frac{2 l^{3}}{E} ) D. ( U=frac{5}{6} pi r^{2} rho^{2} g^{2} frac{2 l^{3}}{E} ) |
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627 | Breaking stress of a material is ( 2 times ) ( 10^{8} N / m^{2} . ) What maximum length of the wire of this material can be so that the wire does not break my own weight? [Density of material ( =mathbf{5} times mathbf{1 0}^{mathbf{3}} mathbf{k g} / mathbf{m}^{mathbf{3}} mathbf{]} ) A. ( 1 k m ) B. ( 2 mathrm{km} ) ( c .3 k m ) D. ( 4 k m ) |
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628 | Volume of a liquid when compressed by additional pressure of ( 10^{5} N / m^{2} ) is 196 cc and when compressed by a pressure of ( 1.5 times 10^{5} N / m^{2}, ) the volume is ( 194 c c ) The bulk modulus of the liquid is: A ( cdot 10^{5} N / m^{2} ) B . ( 1.5 times 10^{6} ) c. ( 5 times 10^{5} N / m^{2} ) D. ( 5 times 10^{6} N / m^{2} ) |
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629 | During unloading beyond ( B ), say ( C ), the length at zero stress is now equal to: A. less than original length B. greater than original length c. original length D. can’t be predicted |
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630 | To determine the Young modulus of a wire, several measurements are taken. In which row can the measurement not be taken directly with the stated apparatus? A. measurement: area of cross-section of wire apparatus : micrometer screw gauge B. measurement: extension of wire ; apparatus: vernier scale c. measurement: mass of load applied to wire ; apparatus : electronic balance D. measurement: original length of wire ; apparatus metre rule |
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631 | The Young’s modulus of a material is ( 2 times 10^{11} N / m^{2} ) and its elastic limit is ( 1.8 times 10^{8} N / m^{2} . ) For a wire of ( 1 m ) length of this material, the maximum elongation achievable is ( mathbf{A} cdot 0.2 m m ) в. ( 0.3 m m ) ( c .0 .4 m m ) D. ( 0.5 m m ) |
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632 | The stress required to double the length of a wire of Young’s modulus ( boldsymbol{E} ) is : A ( .2 E ) в. ( E ) c. ( E / 2 ) D. ( 3 E ) |
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633 | Two wires of the same radius and material and having length in the ratio 8.9: 7.6 are stretched by the same force. The strains produced in the two cases will be in the ratio: A . 1: 1 B. 8.9: 1 c. 1: 7.6 D. 1: 3.2 |
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634 | Which of the following statements is incorrect? A. When a material is under tensile stress, the restoring forces are caused by interatomic attraction while under compressional stress, the restoring force is due to interatomic repulsion B. The stretching of a coil is determined by its shear modulus C. Rubber is more elastic than steel D. Shearing stress plays an important role in the buckling of shafts |
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635 | A steel wire can support a maximum load of ( W ) before reaching its elastic limit. How much load can another wire, made out of identical steel, but with a radius one half the radius of the first wire, support before reaching its elastic limit.? ( mathbf{A} cdot W ) в. ( frac{W}{2} ) c. ( frac{w}{4} ) D. ( 4 W ) |
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636 | Poisson’s ratio cannot exceed A . 0.25 B. 1.0 c. 0.75 D. 0.5 |
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637 | A solid sphere of radius ( boldsymbol{R}, ) made up of a material of bulk modulus ( boldsymbol{K} ) is surrounded by a liquid in a cylindrical container. A massless piston of area ( boldsymbol{A} ) floats on the surface of the liquid. When a mass ( M ) is placed on the piston to compress the liquid, the fractional change in the radius of the sphere is ( mathbf{A} cdot frac{M g}{2 A K} ) в. ( frac{M g}{3 A K} ) c. ( frac{M g}{A K} ) D. ( frac{2 M g}{3 A K} ) |
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638 | The energy stored per unit volume in copper wire, which produces longitudinal strain of ( 0.1 % ) is: ( left(boldsymbol{Y}=mathbf{1 . 1} times mathbf{1 0}^{mathbf{1 1}} boldsymbol{N} / boldsymbol{m}^{2}right) ) A ( cdot 11 times 10^{3} mathrm{J} / mathrm{m}^{3} ) В . ( 5.5 times 10^{3} J / m^{3} ) ( mathbf{c} cdot 5.5 times 10^{4} J / m^{3} ) D. ( 11 times 10^{4} J / m^{3} ) |
11 |

639 | A uniform rod of mass ( m ), length ( L ), area of cross-section ( A ) is rotated about an axis passing through one its ends and perpendicular to its length with constant angular velocity ( omega ) in a horizontal plane. If ( Y ) is the Young’s modulus of the material of rod, the increase in its length due to rotation of rod is: ( ^{A} cdot frac{m omega^{2} L^{2}}{A Y} ) в. ( frac{m omega^{2} L^{2}}{2 A Y} ) ( ^{mathbf{C}} cdot frac{m omega^{2} L^{2}}{3 A Y} ) D. ( frac{2 m omega^{2} L^{2}}{A Y} ) |
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640 | A wire of length ( L ) has a linear mass density ( mu ) and area of cross-section ( boldsymbol{A} ) and Young’s modulus ( Y ) is suspended vertically from a rigid support. The extension produced in the wire due to its own weight is: ( ^{text {A } cdot frac{mu g L^{2}}{Y A}} ) в. ( frac{mu g L^{2}}{2 Y A} ) c. ( frac{2 mu g L^{2}}{Y A} ) D ( cdot frac{2 mu g L^{2}}{3 Y A} ) |
11 |

641 | A wire extends by ‘I’ on the application of load ‘mg’. Then, the energy stored in it is : A ( . m g l ) в. ( frac{m g l}{2} ) ( c cdot frac{m g}{l} ) D ( cdot m g l^{2} ) |
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642 | A ( 20 k g ) load is suspended by a wire of ( operatorname{cross} operatorname{section} 0.4 m m^{2} . ) The stress produced in ( mathrm{N} / mathrm{m}^{2} ) is : ( A cdot 4.9 times 10^{-6} ) B. ( 4.9 times 10^{8} ) ( c cdot 49 times 10^{8} ) D. 2.45 times 10 ( ^{-6} ) |
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643 | The average depth of Indian Ocean is about ( 3000 m ). The fractional compression, ( frac{Delta V}{V} ) of water at the bottom of the ocean is then (Given: Bulk modulus of the water= ( 2.2 times 10^{9} N m^{-2} ) and ( g=10 m s^{-2} ) ( mathbf{A} cdot 0.82 % ) B . ( 0.91 % ) c. ( 1.36 % ) D. 1.24% |
11 |

644 | A uniform ring of radius ( R ) and made up of a wire ofcross-sectional radius r is rotated about its axis witha frcquency If density of the wire is p and Young’s modulus is ( Y ). Find the fractional change in radiusof the ring. |
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645 | When temperature of ( operatorname{gas} ) is ( 20^{circ} mathrm{C} ) and pressure is changed from ( P_{1}=1.01 times 10^{5} ) Pa to ( P_{2}=1.165 times 10^{5} ) Pa then the volume changed by ( 10 % ). the bulk modulus is: A ( .1 .55 times 10^{5} P a ) В. ( 0.155 times 10^{5} P a ) c. ( 15.5 times 10^{5} P a ) D. ( 155 times 10^{5} P a ) |
11 |

646 | Which one of the following substance possesses the highest elasticity? A . rubber B. glass c. steel D. copper |
11 |

647 | A steel bar ( A B C D 40 c m ) long is made up of three parts ( A B, B C ) and ( C D, ) as shown in the figure The rod is subjected to a pull of ( 25 k N . ) The total extension of the rod is (Young’s modulus for steel ( 2 times 10^{11} N m^{-2} ) ( mathbf{A} cdot 0.0637 m m ) B. ( 0.0647 mathrm{mm} ) c. ( 0.0657 m m ) D. ( 0.0667 m m ) |
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648 | What is the tension of each wire? A . ( 25 N ) в. ( 50 N ) ( c .75 N ) D. ( 100 N ) |
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649 | A solid sphere of radius ( R ) made of a material of bulk modulus B surrounded by a liquid in a cylindrical container.A massless piston of area A floats on the surface of the liquid. Find the fractional decreases in the radius of the sphere ( left(frac{d R}{R}right) ) when a mass ( M ) is placed on the piston to compress the liquid: A ( cdotleft(frac{3 M g}{A B}right) ) B ( cdotleft(frac{2 M g}{A B}right) ) ( ^{mathbf{c}} cdotleft(frac{M g}{3 A B}right) ) D. ( left(frac{M g}{2 A B}right) ) |
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650 | The stress-strain graphs for materials and B are shown in Fig. The graphs are drawn to the same scale. (a) Which of the materials has the greater Young’s modulus? (b) Which of the two is the stronger material? |
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651 | Two strips of metal are riveted together at their ends by four rivets, each of diameter 6 m ( m ). Assume that each rivet is to carry one quarter of the load. If the shearing stress on the rivet is not to exceed ( 6.9 times 10^{7} P a ), the maximum tension that can be exerted by the riveted strip is then A ( cdot 2 times 10^{3} N ) B. ( 3.9 times 10^{3} N ) c. ( 7.8 times 10^{3} N ) D. ( 15.6 times 10^{3} N ) |
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652 | The Young’s modulus of the material of the wire of length ( L ) and radius ( r ) is ( boldsymbol{Y} boldsymbol{N} / boldsymbol{m}^{2} . ) If the length is reduced to ( boldsymbol{L} / mathbf{2} ) and radius ( r / 2 ), the Young’s modulus will be: A ( cdot frac{Y}{2} ) в. ( Y ) ( c .2 Y ) D. ( 4 Y ) |
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653 | Uniform rod of mass ( m ), length ( l ), area of cross-section ( boldsymbol{A} ) has Young’s modulus ( boldsymbol{Y} ) If it is hanged vertically, elongation under its own weight will be : ( ^{text {A }} cdot frac{m g l}{2 A Y} ) в. ( frac{2 m g l}{A Y} ) c. ( frac{m g l}{A Y} ) D. ( frac{m g Y}{A l} ) |
11 |

654 | Assume that if the shear stress in stee exceeds about ( 4.00 times 10^{8} N / m^{2}, ) the steel reptures. Determine. the shearing force necessary to (a) shear a steel bolt ( 1.00 mathrm{cm} ) in diameter and (b) punch a 1.00-cm-diameter hole in a steel plate ( 0.500 mathrm{cm} ) thick. |
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655 | The length of an iron wire is ( L ) and area of cross-section is ( A ). The increase in length is ( l ) on applying the force ( F ) on its two ends. Which of the statement is correct? A. Increase in length is inversely proportional to its length B. Increase in length is proportional to area of crosssection C. Increase in length is inversely proportional to area of cross-section D. Increase in length is proportional to Young’s modulus |
11 |

656 | A point object is placed at a distance of ( 12 c m ) on the principal axis of a convex lens of focal length ( 10 mathrm{cm} ). A convex mirror is placed coaxially on the other side of the lens at a distance of ( 10 mathrm{cm} ). If the final image coincides with the object, sketch the ray diagram and find the focal length of the convex mirror. |
11 |

657 | A solid sphere of radius ( R ) and density ( rho ) is attached to one end of a mass-less spring of force constant ( k . ) The other end of the spring is connected to another solid sphere of radius ( boldsymbol{R} ) and density ( mathbf{3} boldsymbol{rho} ) The complete arrangement is placed in a liquid of density ( 2 rho ) and is allowed to reach equilibrium. The correct statement(s) is (are) This question has multiple correct options |
11 |

658 | Pressure applied on a rubber ball reduces the ball’s radius by ( 1 % ), what is the percentage volume strain of the ball A . 1% B. 3% c. ( 5 % ) D. 0.5% |
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659 | Define Bulk modulus. | 11 |

660 | A material has Poisson’s ratio 0.3 .ff a uniform rod of its suffers a longitudinal strain of ( 3 times 10^{-3}, ) what will be the percentage increase in volume? |
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661 | An aluminium rod (Young’s modulus ( = ) ( left.mathbf{7} times mathbf{1 0}^{mathbf{9}} mathbf{N} / mathbf{m}^{mathbf{2}}right) ) has a breaking strain of ( 0.2 % . ) The minimum cross-sectional area of the rod in order to support a load of ( 10^{4} ) Newton’s is: ( mathbf{A} cdot 1 times 10^{-2} m^{2} ) B. ( 1.4 times 10^{-3} m^{2} ) ( mathrm{c} cdot 3.5 times 10^{-3} mathrm{m}^{2} ) D. ( 7.1 times 10^{-4} m^{2} ) |
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662 | A wire of length 5 m is twisted through ( 30^{circ} ) at the free end. If the radius of wire is 1 m ( m ), the shearing strain in the wire is: ( A cdot 30 ) B . ( 0.36^{prime} ) ( c cdot 1^{c} ) D. 0.18 |
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663 | When the load applied to a suspended wire is increased from 3 kg-wt to 5 kgwt; the elongation increases from 0.6 ( mathrm{mm} ) to ( 1 mathrm{mm} . ) How much work is done during the extention of the wire. |
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664 | A ball falling in a lake of depth ( 200 mathrm{m} ) show ( 0.1 % ) decrease in its volume at the bottom. What is the bulk modulus of the material of the ball:- A ( cdot 19.6 times 10^{8} N / m^{2} ) B . ( 19.6 times 10^{-10} mathrm{N} / mathrm{m}^{2} ) C. ( 19.6 times 10^{10} N / m^{2} ) D. ( 19.6 times 10^{-8} N / m^{2} ) |
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665 | In the spring-ball model of intermolecular forces, the balls represent ( _{text {一一一一一一 }} ) and springs represent A. atoms, inter atomic forces B. nuclei, nuclear forces c. masses, gravitational forces D. none of the above |
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666 | Two wires of different material and radius have their length in ratio of 1: 2 if these were stretched by the same force, the strain produced will be in the ratio. A . 4: 1 B. 1: 1 c. 2: 1 D. 1: 2 |
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667 | One end of uniform wire of length ( L ) and of weight ( W ) is attached rigidly to a point in the roof and a weight ( W_{1} ) is suspended from the lower end. If ( boldsymbol{A} ) is the area of cross-section of the wire, the stress in the wire at a height ( frac{3 L}{4} ) from its lower end is: A. ( frac{W_{1}}{A} ) ( ^{text {В } cdot} frac{left(W_{1}+frac{W}{4}right)}{A} ) ( frac{left(W_{1}+frac{3 W}{4}right)}{A} ) D. ( frac{W_{1}+W}{A} ) |
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668 | The slope of a Normal stress vs Linear strain in the linear region of the graph for a copper wire gives us A. Young’s modulus B. Rigidity modulus c. Bulk’s modulus D. Poisson’s ratio |
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669 | When a ( 4 k g ) mass is hung vertically on a light spring that obeys Hooke’s law, the spring stretches by 2 cms. The work required to be done by an external agent in stretching this spring by ( 5 c m s ) will be ( left(boldsymbol{g}=mathbf{9 . 8 m} / boldsymbol{s e c}^{2}right) ) A. 4.900 joule B . 2.450 joule c. 0.495 joule D. 0.245 joule |
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670 | Assertion Strain is a unitless quantity. Reason Strain is equivalent to force |
11 |

671 | In determination of young modulus of elasticity of wire, a force is applied and extension is recorded. Initial length of wire is ( 1 mathrm{m} ). The curve between extension and stress is depicted then young modulus of wire will be: |
11 |

672 | Calculate the torque ( N ) twisting a stee tube of length ( l=3.0 m ) through an angle ( varphi=2.0^{circ} ) about its axis, if the inside and outside diameters of the tube are equal to ( d_{1}=30 m m ) and ( boldsymbol{d}_{2}=mathbf{5 0} boldsymbol{m} boldsymbol{m} ) |
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673 | A long rod of radius ( 1 mathrm{cm} ) and length ( 2 mathrm{m} ) which is fixed at one end is given a twist of 0.8 radian. The shear strain developed will be : A. 0.001 radians B. 0.004 radians c. 0.002 radians D. 0.04 radians |
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674 | For which material the poisson’s ratio is greater than 1 A. steel B. Copper c. Aluminium D. None of the above |
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675 | ( (Delta l) ) of a wire of length ( 1 mathrm{m} ) suspended from the top of a . roof at one end and with a load W connected to the other end. If the cross-sectional area of the wire is ( 10^{-6} m^{2}, ) calculate the Young’s modulus of the material of the wire. A ( cdot 2 times 10^{11} N / m^{2} ) B . ( 2 times 10^{-11} N / m^{2} ) ( mathbf{C} cdot 3 times 10^{-12} N / m^{2} ) D ( cdot 2 times 10^{-13} N / m^{2} ) |
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676 | The Bulk modulus for an incompressible liquid is : A. zero B. Unity c. Infinty D. Between O and 1 |
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677 | In Searle’s experiment to find Young’s modulus the diameter of wire is measured as ( boldsymbol{d}=mathbf{0 . 0 5 c m}, ) length of wire is ( l=125 c m ) and when a weight, ( boldsymbol{m}=mathbf{2 0 . 0 k g} ) is put, extension in wire was found to be ( 0.100 mathrm{cm} ). Find the maximum permissible error in Young’s modulus ( (Y) . ) Use: ( Y=frac{m g l}{(pi / 4) d^{2} x} ) A . ( 6.3 % ) в. ( 5.3 % ) ( c .2 .3 % ) D. 1% |
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678 | The formula relating youngs modulus (Y), rigidity modulus (n) and Poisson’s ratio ( (sigma) ) is ( mathbf{A} cdot Y=2 n(1-sigma) ) В . ( Y=2 n(1+sigma) ) c. ( Y=n(1-2 sigma) ) D. ( Y=n(1+2 sigma) ) |
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679 | One end of a steel (density ( p ) ) rectangular girder is embedded into a wall (fig). Due to gravity it sags slightly. Find the radius of curvature of the neutral layer in the vicinity of the point O if the length of the protruding section of the girder is equal to ( l=6.0 mathrm{cm} ) and the thickness of the girder equals ( h= ) ( mathbf{1 0} mathrm{cm} ) ( ^{mathrm{A}} cdot_{R}=frac{h^{2} E}{p l^{2} g} ) B. ( quad R=frac{h^{2} E}{6 p l^{2} g} ) c. ( _{R}=frac{h^{2} E}{3 p l^{2} g} ) D. ( R=frac{h^{2} E}{7 p l^{2} g} ) |
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680 | Proof resilience is related to A. PE stored in an elastic body B. stiffness of a beam C . elastic fatigue D. elastic relaxation |
11 |

681 | Diagram shows stress-strain graph for two material A & B. The graphs are drawn to scale. The ratio of young modulli of ( A ) to |
11 |

682 | A steel cylindrical rod of length ( l ) and radius ( r ) is suspended by its end from the ceiling. Define ( U ) in terms of tensile ( operatorname{strain} frac{Delta l}{l} ) of the rod A ( quad U=frac{2}{3} pi r^{2} l Eleft(frac{Delta l}{l}right)^{2} ) в. ( U=frac{4}{3} pi r^{3} l Eleft(frac{Delta l}{l}right)^{3} ) ( ^{mathrm{c}} cdot u=frac{2}{4} pi r^{3} l Eleft(frac{Delta l}{l}right)^{2} ) D. None of these |
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683 | The maximum strain energy that can be stored in a body is known as: A. impact energy B. toughness c. proof resilience D. none of the above |
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684 | The Marina trench is located in the Pacific Ocean, and at one place it is nearly eleven km beneath the surface of water. The water pressure at the bottom of the trench is about ( 1.1 times 10^{8} ) Pa. steel ball of initial volume ( 0.32 m^{3} ) is dropped into the ocean and falls to the bottom of the trench. What is the change in the volume of the ball when it reaches to the bottom? |
11 |

685 | Scalar are quantity that are describe by A. Direction B. Magnitude and direction c. Magnitude D. Motion |
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686 | A steel bolt is inserted into a copper tube as shown in figure. Find the forces induced in the bolt and in the tube when the nut is turned through one revolution. Assume that the length of the tube is ( l ), the pitch of the bolt thread is ( h ) and the cross-sectional areas of the steel bolt and the copper tube are ( boldsymbol{A}_{s} ) and ( A_{c}, ) respectively |
11 |

687 | A light rod of length ( 2 m ) is suspended from the ceiling horizontally by means of two vertical wires of equal length tied to its ends. One of the wires is made of steel and is of cross section ( 0.1 mathrm{cm}^{2} . ) A weight is suspended from a certain point of the rod such that equal stress are produced in both the wires.Which of the following are correct? This question has multiple correct options A. The ratio of tension in the steel and brass wires is 0.5 B. The load is suspended at a distance of ( 400 / 3 c m ) from the steel wire c. Both (a) and (b) are correct D. Neither (a) nor (b) are correct |
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688 | The Hooke’s law defines A. modulus of elasticity B. stress C. strain D. elastic limit |
11 |

689 | If the material has breaking point lies very close to elastic limit, the material is A. brittle B. ductile c. elastomer D. diathermanous |
11 |

690 | The force that must be applied to a steel wire ( 6 m ) long and diameter ( 1.6 m m ) to produce an extension of ( 1 mathrm{mm}[boldsymbol{y}= ) ( left.2.0 times 10^{11} N . m^{-2}right] ) is approximate. A. ( 100 N ) в. ( 50 N ) ( c .67 N ) D. 33.5N |
11 |

691 | If a rubber ball is taken at the depth of ( 200 mathrm{m} ) in a pool its volume decreases by ( 0.1 % ) If the density of the water is ( 1 times ) ( 10^{3} k g / m^{3} ) and ( g=10 m / s^{2} ) then the volume elasticity in ( N / m^{2} ) will be A ( cdot 10^{8} ) в. ( 2 times 10^{8} ) ( c cdot 10^{9} ) D. ( 2 times 10^{9} ) |
11 |

692 | The Poisson’s ratio of a material is ( 0.5 . ) If a force is applied to a wire of this material, there is a decrease in the cross-sectional area by ( 4 % ). The percentage increase in the length is: A . ( 1 % ) B. 2% ( c .2 .5 % ) D. ( 4 % ) |
11 |

693 | When an elastic material with Young’s modulus ( ^{prime} Y^{prime} ) is subjected to a stretching stress ( ^{prime} S^{prime}, ) then the elastic energy stored per unit volume is: ( ^{A} cdot frac{S^{2}}{2 Y} ) B. ( frac{Y S^{2}}{2} ) c. ( frac{s}{2 Y} ) D. ( frac{Y S}{2} ) |
11 |

694 | An increase in pressure required to decreases the 100 liters volume of a liquid by ( 0.004 % ) in container is: (Bulk modulus of the liquid ( = ) ( 2100 M P a) ) A. ( 188 k P a ) в. ( 8.4 k P a ) c. ( 18.8 k P a ) D. ( 84 k P a ) |
11 |

695 | A spiral spring is stretched to ( 20.5 mathrm{cm} ) gradation on a metre scale when loaded with a 100 g load and to the ( 23.3 mathrm{cm} ) gradation by 200 g load. The spring is used to support a lump of metal in air and the reading now is ( 24.0 mathrm{cm} . ) The mass of metal lump is : A. 250gm в. 225 gm c. ( 145 mathrm{gm} ) D. 750 gm |
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696 | A uniform rod of length ( ^{prime} L^{prime} ) and density ( rho^{prime} ) is being pulled along a smooth floor with horizontal acceleration ( alpha ) as shown in the figure. The magnitude of the stress at the transverse cross-section through the mid-point of the rod is A ( frac{rho l alpha}{4} ) в. ( 4 rho l ) d ( c cdot 2 rho l ) D. ( frac{rho l alpha}{2} ) |
11 |

697 | A bob of mass ( m ) hangs from the ceiling of a smooth trolley car which is moving with a constant acceleration ( a ). If the Young’s modulus, radius and length of the string are ( Y, r ) and ( l ) respectively f the stress in the string is ( frac{2 m sqrt{g^{2}+d^{2}}}{x pi r^{2}} . ) Find ( x ) |
11 |

698 | Three elastic wires, ( P Q, P R ) and ( P S ) support a body ( P ) of mass ( M, ) as shown in the figure. The wires. are of the same material and cross-sectional area, the middle one being vertical. The load carried by the middle wire is: A ( cdot frac{M g}{1+2 cos ^{2} theta} ) в. ( frac{M g}{1+2 cos ^{3} theta} ) ( c ) D. ( frac{M g}{cos theta+2 cos ^{3} theta} ) |
11 |

699 | A thin ( 1 mathrm{m} ) long rod has a radius of 5 mm.1 A force of 50 ( pi k N ) is applied at one end to determine its Young’s modulus. Assume that the force is exactly known. If the least count in the measurement of all lengths is ( 0.01 mathrm{mm} ) which of the following statements is false? A. The maximum value of ( Y ) that can be determined is ( 10^{14} N / m^{2} ) B. ( frac{Delta Y}{Y} ) gets minimum contribution. from the uncertainty in the length. c. ( frac{Delta Y}{Y} ) gets its maximum contribution from the uncertainty in strain D. The figure of merit is the largest for the length of the rod |
11 |

700 | A uniform wire of length ( 4 m ) and area of ( operatorname{cross} operatorname{section} 2 m m^{2} ) is subjected to longitudinal force produced an elongation of 1 mm.lf ( Y=0.2 times 10^{11} mathrm{NM}^{-2} ) elastic potential energy stored in the body is A. ( 0.5 J ) ( J ) в. ( 0.05 J ) c. ( 0.005 J ) D. ( 5.0 J ) |
11 |

701 | A uniform metal rod of ( 2 m m^{2} ) cross section is heated from ( 0^{circ} mathrm{C} ) to ( 20^{circ} mathrm{C} ). The coefficient of linear expansion of the rod is ( 12 times 10^{-6 / 0} mathrm{C} ). Its Young’s modulus of elasticity is ( 10^{11} mathrm{N} / mathrm{m}^{2} ). The energy stored per unit volume of the rod is : ( mathbf{A} cdot 2880 J / m^{3} ) B . ( 1500 J / m^{3} ) c. ( 5760 J / m^{3} ) D. ( 1440 J / m^{3} ) |
11 |

702 | The density of a metal at normal pressure is ( rho . ) It’s density when it is subjected to an excess pressure p is ( rho ) ‘. If ( mathrm{B} ) is the bulk modulus of the metal, the ratio ( rho^{prime} / rho ) is : A. ( frac{1}{1-p / B} ) в. ( 1+frac{P}{B} ) c. ( frac{1}{1-B / p} ) D. ( 1+B / p ) |
11 |

703 | The breaking stress of aluminium is ( mathbf{7} . mathbf{5} times mathbf{1 0}^{7} mathbf{N m}^{-2} . ) The greatest length of aluminium wire that can hang vertically without breaking is (Density of aluminium is ( 2.7 times ) ( left.10^{3} k g m^{-3}right) ) A ( cdot 283 times 10^{3} m ) В. ( 28.3 times 10^{3} m ) c. ( 2.72 times 10^{3} m ) D. ( 0.283 times 10^{3} m ) |
11 |

704 | A solid cube is subjected to a pressure of ( left(5 times 10^{5} quad N / m^{2}right) . ) Each side of the cube is shortened by then volumetric strain and Bulk modulus of the cube are ( begin{array}{ll}text { A. } 0.03,5 times 10^{5} & text { N } / m^{2}end{array} ) B. ( 0.03,1.67 times 10^{7} quad N / m^{2} ) C. ( 3,1.67 times 10^{-7} quad N / m^{2} ) D. ( 0.01,1.67 times 10^{7} quad N / m^{2} ) |
11 |

705 | A copper wire of negligible mass, ( 1 m ) length and cross-sectional area ( 10^{-6} m^{2} ) is kept on a smooth horizontal table with one end fixed. A ball of mass ( 1 k g ) is attached to the other end. The wire and the ball are rotating with an angular velocity of 20 rad/s. If the elongation in the wire is ( 10^{-3} m . ) Find the Young’s modulus of the wire (in terms of ( mathbf{1 0}^{11} mathbf{N} / boldsymbol{m}^{2} mathbf{)} ) |
11 |

706 | If the ratio of lengths, radii and Young’s modulus of steel and brass wires shown in the figure are ( a, b ) and ( c ) respectively, the ratio between the increase in lengths of brass and steel wires would be : A ( cdot frac{b^{2}}{2 c} ) в. ( frac{b c}{2 a^{2}} ) ( c cdot frac{b a^{2}}{2 c} ) D. ( frac{2 b^{2} c}{a} ) |
11 |

707 | A uniform wire of Youngs modulus Y is stretched by a force within the elastic limit. If ( S ) is the stress produced in the wire and ( varepsilon ) is the strain in it, the potential energy stored per unit volume is given by This question has multiple correct options A ( cdot frac{1}{2} varepsilon S ) в. ( frac{1}{2} Y varepsilon^{2} ) c. ( frac{s^{2}}{2 Y} ) D. ( frac{1}{2} Y varepsilon S ) |
11 |

708 | A copper wire 4 m long has diameter of 1 ( m m ), if a load of ( 10 k g ) wt is attached at other end. What extension is produced, if Poisson’s ratio is ( 0.26 ? ) How much lateral compression is produced in it? ( left(boldsymbol{Y}_{boldsymbol{c u}}=mathbf{1 2 . 5} times mathbf{1 0}^{mathbf{1 0}} boldsymbol{N} / boldsymbol{m}^{2}right) ) |
11 |

709 | A rod ( 100 mathrm{cm} ) long and of ( 2 mathrm{cm} times 2 mathrm{cm} ) cross-section is subjected to a pull of 1000kg force. Modulus of elasticity of the material is ( 2.0 times 10^{6} k g / c m^{2} . ) If the elongation of the rod is ( x mathrm{mm} ), find the value of ( 40 x ) |
11 |

710 | A material has Poisson’s ratio 0.5 . if a uniform rod of it suffers a longitudinal strain of ( 2 times 10^{3}, ) then the percentage change in volume is A . 0.6 B. 0.4 ( c .0 .2 ) D. zero |
11 |

711 | A cube is shifted to a depth of ( 100 m ) is alake. The change in volume is ( 0.1 % ). The bulk modules of the material is nearly ( mathbf{A} cdot 10 P a ) в. ( 10^{4} P a ) ( mathbf{c} cdot 10^{7} P a ) D. ( 10^{9} mathrm{Pa} ) |
11 |

712 | A metal cube of side length ( 8.0 mathrm{cm} ) has its upper surface displaced with respect to the bottom by ( 0.10 mathrm{mm} ) when a tangential force of ( 4 times N ) is applied at the top with bottom surface fixed. The rigidity modulus of the material of the cube is A ( cdot 4 times 10^{14} N / m^{2} ) B . ( 5 times 10^{9} mathrm{N} / mathrm{m}^{2} ) c. ( 8 times 10^{14} mathrm{N} / mathrm{m}^{2} ) D. ( 1 times 10^{14} mathrm{N} / mathrm{m}^{2} ) |
11 |

713 | The Sl unit of stress is same as the SI unit of A. Strain B. Modulus of elasticity c. Pressure D. Both (2) and (3) |
11 |

714 | If longitudinal strain for a wire is 0.03 and its poisson ratio is ( 0.5, ) then its lateral strain is ( mathbf{A} cdot 0.003 ) в. 0.0075 c. 0.015 D. 0.4 |
11 |

715 | The hardest material out of the following is : A. diamond B. steel c. aluminium D. glass |
11 |

716 | A load of ( 4.0 mathrm{kg} ) is suspended from a ceiling through a steel wire of length ( 20 m ) and radius ( 2.0 m m . ) It is found that the length of the wire increases by ( 0.031 m m ) as equilibrium is achieved. If ( boldsymbol{g}=mathbf{3 . 1} boldsymbol{x} boldsymbol{pi} boldsymbol{m} boldsymbol{s}^{-2}, ) the value of young’s modulus in ( N m^{-2} ) is ( mathbf{A} cdot 2.0 times 10^{12} ) B . ( 4.0 times 10^{11} ) ( mathbf{c} cdot 2.0 times 10^{11} ) D. ( 0.02 times 10^{9} ) |
11 |

717 | A student performs an experiment to determine the Young’s modulus of a wire, exactly ( 2 m ) long, by Searle’s method. In a particular reading, the student measures the extension in the length of the wire to be ( 0.8 m m ) with an uncertainty of ( 0.05 m m ) at a load of exactly ( 1.0 mathrm{kg} ). The student also measures the diameter of the wire to be ( 0.4 m m ) with an uncertainty of ( 0.01 m m . ) Take ( g=9.8 m s^{-2}(text {exact }) ) The Young’s modulus obtained from the reading is A ( cdot(2.0 pm 0.3) times 10^{11} N m^{-2} ) в. ( (2.0 pm 0.2) times 10^{11} mathrm{Nm}^{-2} ) c. ( (2.0 pm 0.1) times 10^{11} mathrm{Nm}^{-2} ) D. ( (2.0 pm 0.05) times 10^{11} mathrm{Nm}^{-2} ) |
11 |

718 | A fixed volume of iron is drawn into a wire of length ( 1 . ) The extension produced in this wire by a constant force F is proportional to then:- A ( cdot frac{1}{l^{2}} ) B. ( frac{1}{l} ) ( c cdot l^{2} ) ( D ) |
11 |

719 | An elastic metal rod will change its length when it This question has multiple correct options A. falls vertically under its weight B. is pulled along its length by a force acting at one end c. rotates about an axis at one end D. slides on a rough surface |
11 |

720 | A copper wire of length ( 2.2 mathrm{m} ) and a steel wire of length ( 1.6 mathrm{m}, ) both of diameter 3.0 ( mathrm{mm} ) are connected end to end. When stretched by a force, the elonation in length ( 0.50 mathrm{mm} ) is produced in the copper wire. The stretching force is ( left(Y_{c u}=1.1 times 10^{11} N / m^{2}, Y_{text {steel}}=2.0 timesright. ) ( left.mathbf{1 0}^{mathbf{1 1}} mathbf{N} / boldsymbol{m}^{mathbf{2}}right) ) A ( cdot 5.4 times 10^{2} N ) B . ( 3.6 times 10^{2} N ) c. ( 2.4 times 10^{2} N ) D. ( 1.8 times 10^{2} N ) |
11 |

721 | ( A ) and ( B ) are two wires. The radius of ( A ) is twice that of ( B ). They are stretched by the same load. Then the stress on ( B ) is A. equal to that on ( A ) B. four times that on ( A ) c. two times that on ( A ) D. half that on ( A ) |
11 |

722 | Find the fractional decrement of its volume A ( cdot frac{Delta V}{V}=-frac{3 p}{E}(1-2 mu) ) B. ( frac{Delta V}{V}=-frac{3 p}{E}(1+2 mu) ) c. ( frac{Delta V}{V}=frac{2 p}{E}(1+3 mu) ) D. None of these |
11 |

723 | As shown in the figure, force of ( 105 N ) each are applied in opposite directions, on the upper and lower force of a cube of side ( 10 mathrm{cm}, ) shifting the upper face parallel to itself by ( 0.5 mathrm{cm} . ) If the side of another cube of the same material is ( 20 mathrm{cm}, ) then under similar condition as shown as above, the displacement will be: ( mathbf{A} cdot 0.25 mathrm{cm} ) B. ( 0.37 mathrm{cm} ) c. ( 0.75 mathrm{cm} ) D. ( 1.00 mathrm{cm} ) |
11 |

724 | Young modulus of elasticity of brass is ( 10^{11} N / m^{2} . ) The increase in its energy on pressing a rod of length ( 0.1 m ) and cross-sectional area ( 1 mathrm{cm}^{2} ) made of brass with a force of ( 10 mathrm{kg} ) along its length,will be ( x times 10^{-7} ). Find ( x ) |
11 |

725 | What is plastic? | 11 |

726 | Two wires ( A ) and ( B ) of same dimensions are stretched by same amount of force. Young’s modulus of ( A ) is twice that of ( B ). Which wire will get more elongation? Enter 1 for ( A ) and 2 for ( B ) |
11 |

727 | A uniform steel rod of ( 5 m m^{2} ) cross section is heated from ( 0^{circ} C ) to ( 25^{circ} C . ) Calculate the force which must be exerted to prevent it from expanding. Also calculate strain. (a for steel ( =12 times 10^{-6} /^{circ} mathrm{C} ) and ( gamma ) for steel ( left.=20 times 10^{10} N / m^{2}right) ) |
11 |

728 | The length of a wire under stress changes by ( 0.01 % . ) The strain produced is ( mathbf{A} cdot 1 times 10^{-4} ) B. 0.01 ( c ) D. ( 10^{4} ) |
11 |

729 | The elongation produced in a copper wire of length ( 2 mathrm{m} ) and diameter ( 3 mathrm{mm} ) when a force of ( 30 mathrm{N} ) is applied is ( [mathrm{Y}= ) ( left.1 times 10^{11} mathrm{N} cdot mathrm{m}^{-2}right] ) A. ( 8.5 m m ) B. ( 0.85 mathrm{mm} ) c. ( 0.085 m m ) D. ( 85 m m ) |
11 |

730 | A weightless rod is acted on by upward parallel forces of ( 2 N ) and ( 4 N ) ends ( A ) and ( B ) respectively.; The total length of the rod ( A B=3 m . ) To keep the rod in equilibrium a force of ( 6 N ) should act in the following manner. A. Downwards at any point between ( A ) and ( B ). B. Downwards at mid point of ( A B ). c. Downwards at a point ( C ) such that ( A C=1 m ). D. Downwards at a point ( D ) such that ( B D=1 m ). |
11 |

731 | Three blocks, each of same mass ( m ) are connected with wire ( W_{1} ) and ( W_{2} ) of same cross sectional area ‘a’ and Young’s modulus Y. Neglecting friction, |
11 |

732 | According to Hooke’s law of elasticity, if stress is increased, the ratio of stress to strain A . decreases B. increases c. becomes zero D. remains constant |
11 |

733 | A wire is stretched through 1 mm by certain load. The extension produced in the wire of same material with double the length and radius will be ( mathbf{A} cdot 4 m m ) B. ( 3 m m ) ( mathbf{c} cdot 1 m m ) D. ( 0.5 m m ) |
11 |

734 | The length of a wire is 4 m. Its length is increased by ( 2 m m ) when a force acts on it. The strain is: A. ( 0.5 times 10^{-3} ) B. ( 5 times 10^{-3} ) ( c cdot 2 times 10^{-3} ) D. 0.05 |
11 |

735 | When a certain force is applied on a string it extends by ( 0.01 mathrm{cm} . ) When the same force is applied on another string of same material, twice the length and double the diameter, then the extension in second string is ( A cdot 0.005 mathrm{cm} ) B. 0.02 cm c. ( 0.08 mathrm{cm} ) D. ( 0.04 mathrm{cm} ) |
11 |

736 | A thin uniform metallic rod of mass ( M ) and length ( L ) is rotated with a angular velocity ( omega ) in a horizontal plane about a vertical axis passing through one of its ends. The tension in the middle of the rod is : A ( cdot frac{1}{2} M L omega^{2} ) B ( cdot frac{1}{4} M L omega^{2} ) c. ( frac{1}{8} M L omega^{2} ) D. ( frac{3}{8} M L omega^{2} ) |
11 |

737 | The radii and Young’s moduli of two uniform wires ( A ) and ( B ) are in the ratio 2: 1 and 1: 2 respectively. Both wires are subjected to the same longitudinal force. If the increase in length of the wire ( A ) is one percent, the percentage increase in length of the wire ( B ) is: A . 1.0 в. 1.5 ( c .2 .0 ) D. 3.0 |
11 |

738 | For a given material, the Young’s modulus is 2.4 times that of the modulus of rigidity. Its Poisson’s ratio is A . 2.4 B. 1.2 ( c .0 .4 ) D. 0.2 |
11 |

739 | There is no change in volume of a wire due to change in its length of stretching. The Poisson’s ratio of the material of the wire is: A . 0.50 B . – 0.50 ( c cdot 0.25 ) D . – 0.25 |
11 |

740 | The Y of a material having a cross sectional area of ( 1 mathrm{cm}^{2} ) is ( 2 times 10^{12} ) dynes/cm ( ^{2} ). The force required to double the length of the wire is: A ( cdot 1 times 10^{12} ) dynes B. 2 x 10 ( ^{12} ) dynes c. ( 0.5 times 10^{12} ) dynes D. ( 4 times 10^{12} ) dynes |
11 |

741 | A force of ( 10 mathrm{N} ) is applied to an object, whose area is ( 5 mathrm{cm}^{2} ) at an angle of 30 degrees with the vertical. What kind of stress can be found from this data A. Normal and areal stress can be found B. only normal stress can be found c. only areal stress can be found D. Stress cannot be found from this data, since applied force is neither along the horizontal or vertica |
11 |

742 | A rod is made of uniform material and has non-uniform cross-section. It is fixed at both ends as shown and heated at the mid-section. Which of the following statements are not correct? his question has multiple correct options A. Force of compression in the rod will be maximum at mid-section B. Compressive stress in the rod will be maximum at left end c. since the rod is fixed at both the ends, its length will remain unchanged. Hence, no strain will be induced in it. D. None of above |
11 |

743 | What is the tension in string at ( A ) immediately after the string at ( mathrm{B} ) breaks? A ( cdot frac{m g}{5} ) в. ( frac{2 m g}{31} ) c. ( frac{m g}{37} ) D. ( frac{5 m g}{37} ) |
11 |

744 | Assertion ( (A): ) Bulk modulus of elasticity (K) represents incompressibility of the material. Reason ( (mathrm{R}): K=-frac{Delta P}{Delta V / V}, ) where symbols have their standard meaning. A. Both assertion and reason are true and the reason is correct explanation of the assertion B. Both assertion and reason are true, but reason is not correct explanation of the assertion C. Assertion is true, but the reason is false D. Assertion is false, but the reason is true |
11 |

745 | Column (order of magnitude in Pa) |
11 |

746 | Assertion If we apply force to a lump of putty or mud, they have no gross tendency to regain their previous shape. Reason This type of substances are called plastic substances. A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion c. Assertion is correct but Reason is incorrect D. Both Assertion and Reason are incorrect |
11 |

747 | Two wires ( A ) and ( B ) of radius ( 2 r ) and ( r ) respectively are joined and a force ( boldsymbol{F} ) is applied at the end. The length of each wire is ( L . ) Their Youngs modulus are ( Y ) and ( 2 Y ) respectively. Find the net elongation. |
11 |

748 | Determine the value of ( x ) so that equal strains are produced in each wire. ( A cdot 1 ) ( 3.2 m ) ( c .3 m ) D. 2.2 n |
11 |

749 | ( frac{E}{L} ) | 11 |

750 | A ( 2 m m^{2} ) cross-sectional area wire is stretched by ( 4 mathrm{mm} ) by a certain weight.If the same material wire of cross- sectional area ( 8 m m^{2} ) is stretched by the same weight, the stretched length is ( A cdot 2 m m ) B. ( 0.5 mathrm{mm} ) ( mathrm{c} cdot 1 mathrm{mm} ) D. ( 1.5 mathrm{mm} ) |
11 |

751 | Assertion The maximum height of a mountain on earth can be estimated from the elastic behaviour of rocks. Reason At the base of mountain, the pressure is less than elastic limit of earth’s supporting material A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion c. Assertion is correct but Reason is incorrect D. Both Assertion and Reason are incorrect |
11 |

752 | Nature of shear stress is A. Positive B. Negative C. Positive as well as negative D. Is always less than 0.5 |
11 |

753 | The property of metals which allows them to be drawn into wires is known as A. ductility B. malleability c. elasticity D. compressibility |
11 |

754 | Shear modulus is zero for A. Solids B. Liquids c. Gases D. Liquids and gases |
11 |

755 | Two parallel and opposite forces each ( mathbf{5 0 0 0} N ) are applied tangentially to the upper and lower faces of a cubical metal block of side ( 25 mathrm{cm} . ) The angle of shear is then (The shear modulus of the metal is ( 80 G P a) ) A ( cdot 10^{-4} x a d ) B ( cdot 10^{-5} r a d ) c. ( 10^{-6} )rad D. ( 10^{-7} r a d ) |
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756 | The load versus strain graph for four wires of the same material is shown in the figure. The thickest wire is represented by the line ( A cdot O B ) в. ( O A ) ( c cdot O D ) D. ( O C ) |
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757 | What is Plasticity? | 11 |

758 | The length of a rubber cord is ( l_{1} ) when the tension is ( 4 N ) and ( l_{2} m ) when the tension is ( 6 N . ) The length when the tension is ( 9 N, ) is: A ( cdotleft(2.5 l_{2}-1.5 l_{1}right) m ) В ( cdotleft(6 l_{2}-1.5 l_{1}right) m ) c. ( left(3 l_{2}-2 l_{1}right) m ) D・ ( left(3.5 l_{2}-2.5 l_{1}right) m ) |
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759 | Fill in the blank. In a technical sense a substance with a elasticity is one that requires a force to produce a distortion-for example, a steel sphere. A. high, small B. high, large c. low, large D. low, small |
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760 | (i) For a Searle’s experiment, in the graph shown, there are two readings a and b that are not lying on the straight line (ii) Experiment is not performed precisely A. Both (i) and (ii) are true and (ii) is reason for (i) B. Both (i) and (ii) are true but (ii) is not reason for (ii) c. only (i) is true D. only (ii) is true |
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761 | Q Type your question following statements: It will be easier to compress this rubber then expand it II. Rubber does not return to its original length after it is stretched III. The rubber band will get heated if it is stretched and released. Which of these can be deduced from the |
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762 | A uniform steel wire of length ( 3 m ) and are of cross section ( 2 m m^{2} ) is extended through ( 3 m m ) Calculate the energy stored in the wire, if the elastic limit is not exceeded |
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763 | The breaking stress of aluminium is ( mathbf{7 . 5} times mathbf{1 0}^{7} mathbf{N m}^{-mathbf{2}} . ) Find the greatest length of aluminium wire that can hang vertically without breaking. Density of aluminium is ( 2.7 times 10^{3} mathrm{Kgm}^{-3} ) |
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764 | Two wires are made of the same material and have the same volume. However wire 1 has cross-sectional area ( A ) and wire 2 has cross- sectional area 3 A. If the length of wire 1 increases by ( Delta x ) on applying force ( F, ) how much force is needed to stretch wire 2 by the same amount ? A. B. 4 F ( c .6 mathrm{F} ) D. 9 F |
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765 | A copper wire is held at the two ends between two rigid supports. At ( 30^{circ} mathrm{C} ) the wire is just taut,with negligible tension. If ( boldsymbol{Y}=mathbf{1 3} times mathbf{1 0}^{mathbf{1 1}} mathbf{N m}^{-mathbf{2}}, boldsymbol{alpha}= ) ( 1.7 times 10^{-5}left(^{circ} Cright)^{-1} ) and density ( rho=9 times ) ( 10^{3} k g m^{-3}, ) then the speed of transverse wave in this wire at ( 10^{circ} mathrm{C} ) is: A ( cdot 90 m s^{-1} ) B. ( 70 m s^{-1} ) ( mathrm{c} cdot 60 mathrm{ms}^{-1} ) D. ( 100 mathrm{ms}^{-1} ) |
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766 | A Toy cart attached to the end of an unstretched string of length a, when received moves on a smooth horizontal table in a circle of radius 2 s with a time period T. Now the toy cart is speeded up until it moves in a circle of radius 3 a with a period ‘T’. If Hook’s law holds then (Assume no friction) A ( cdot T^{prime}=sqrt{frac{3}{2}} pi ) B cdot ( T^{prime}=left(frac{sqrt{3}}{2}right) T ) ( mathbf{c} cdot mathbf{T}^{prime}=left(frac{3}{2}right) mathbf{T} ) D. ( T^{prime}=T ) |
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767 | Three wires ( A, B, C ) made of the same material and radius have different lengths. The graphs in the figure shows the elongation-load variation. The longest wire is: ( A ) B. B ( c cdot c ) D. Al |
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768 | An elastic spring is given a force of 1000 N over an area of ( 0.2 m^{2} ) A. ( 3000 N m^{-2} ) B. ( 5000 mathrm{Nm}^{-2} ) c. ( 500 N m^{-2} ) D. ( 2500 N m^{-2} ) |
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769 | Assuming that shear stress of base of a mountain is equal to force per unit area to its weight, calculate the maximum possible height of a mountain on the earth if breaking stress of a typical rock is ( 30 times 10^{7} N m^{-2} ) and specific gravity is ( 3 times 10^{3} k g / m^{3} ) ( A cdot 10 mathrm{km} ) B. ( 8 mathrm{km} ) ( c cdot 7 k m ) ( D .6 mathrm{km} ) |
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770 | A helical spring is stretched by a force, the resultant strain produced in the spring is: A. volume strain B. shearing strain c. longitudinal strain D. all the above |
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771 | Young’s modulus of rubber is ( 10^{4} mathrm{N} / m^{2} ) and area of cross-section is ( 2 mathrm{cm}^{2} ). If force of ( 2 times 10^{5} ) dyne is applied along its length, then its final length becomes. A . ( 3 L ) B. ( 4 L ) ( c cdot 2 L ) D. None of these |
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772 | ( mathbf{A} ) 1.05 ( m ) having negligible mass is supported at its ends by two wires of steel (wire ( A ) ) and aluminium (wire ( B ) of equal lengths as shown in Fig. The cross-sectional areas of wires ( A ) and ( B ) are ( 1.0 m m^{2} ) and ( 2.0 m m^{2}, ) respectively At what point along the rod should a mass ( m ) be suspended in order to produce (a) Equal stress in ( A ) and ( B ) and (b) Equal strains in ( A ) and ( B ) ? |
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773 | The Young’s modulus of the material of a wire of length L and radius r is ( Y ) newton per ( m^{2} ). If the length of the wire is reduced to ( L / 2 ) and the radius to ( r / 2 ) then its Young’s modulus will be. A. ( Y / 2 ) B. ( c .2 Y ) D. ( 4 Y ) |
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774 | ( 32 g ) of ( O_{2} ) is contained in a cubical container of side ( 1 m ) and maintained at a temperature of ( 127^{0} C . ) The isothermal bulk modulus of elasticity of the gas in terms of universal gas constant ( boldsymbol{R} ) is ( mathbf{A} cdot 127 R ) B. ( 400 R ) ( c cdot 200 R ) D. ( 560 R ) |
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775 | A ( 5 m ) long cylindrical steel wire with radius ( 2 times 10^{-3} mathrm{m} ) is suspended vertically from a rigid support and carrics a bob of mass ( 100 mathrm{kg} ) at the other end. If the bob gets snapped, calculate the change in temperature of the wire ignoring radiation losses. ( left(text { Take } g=10 m / s^{2}right) ) (For the steel wire: Young’s modulus ( =2.1 times 10^{11} N / m^{2} ) Density ( =7860 k g / m^{3} ) Specific heat ( = ) ( 420 J / k g C) ) |
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776 | 7. A spring of force constant k is cut into two pieces such that one piece is double the length of the other. Then the long piece will have a force constant of (IIT JEE, 1999) 3 c. 3k d. 6k |
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777 | Solids which break or rupture above the elastic limit are classified as: A . brittle B. elastic c. ductile D. malleable |
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778 | A material upon heavy stress undergoes a deformation and lands a part of permanent set. Upon removal of the stress, the material will A. return to its original position B. become permanently plastic c. start oscillating about the elastic point D. start oscillating about the yield point |
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779 | What should be done if the gas cylinder at your home catches fire? A. Water should be sprinkled. B. Sand, soil should be put at it. c. cylinder should be covered with wet blanket. D. One should run away |
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780 | A wire of length L and of cross-sectional area A is made of a material of Young’s modulus Y. The work done in stretching the wire by an amount ( x ) is given by : A ( cdot frac{Y A x^{2}}{L} ) в. ( frac{Y A x^{2}}{2 L} ) c. ( frac{Y A L^{2}}{x} ) D. ( frac{Y A L^{2}}{2 x} ) |
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781 | The correct relation between interatomic force constant ( K, ) Young modulus ( Y ) and interatomic distance ( r_{0} ) is A. ( K=Y r_{0} ) в. ( K=frac{r_{0}}{Y} ) ( c cdot K=frac{Y}{r_{0}} ) D. ( K=r_{0}^{2} Y^{2} ) |
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782 | When a sphere of radius ( 2 mathrm{cm} ) is suspended at the end of a wire, elongation is ‘e’. When the same wire is loaded with a sphere of radius ( 3 mathrm{cm} ) and made of the same material, the elongation would be : A ( cdot frac{8}{27} e ) в. ( frac{27}{8} e ) c. ( frac{4}{9} e ) D. ( frac{9}{4} ) |
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783 | Stretching of a rubber band results in A. No change in potential energy B. Zero value of potential energy C. Increase in potential energy D. Decrease in potential energy |
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784 | Determine the shear stress at the pipe wall A. ( 8 times 10^{-6} N / m^{2} ) B. ( 3.9 times 10^{-6} N / m^{2} ) c. ( 2.3 times 10^{-6} N / m^{2} ) D. ( 10.6 times 10^{-6} N / m^{2} ) |
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785 | A uniform cylindrical wire is subjected to a longitudinal tensile stress of ( 5 times ) ( 10^{7} N / m^{2} . ) Young’s modulus of the material of the wire is ( 2 times 10^{11} N / m^{2} ) The volume change in the wire is ( 0.02 % ) The fractional change in the radius is A. ( 0.25 times 10^{-4} ) B. ( 0.5 times 10^{-4} ) c. ( 0.1 times 10^{-4} ) D. ( 1.5 times 10^{-4} ) |
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786 | If a stretching force ( F 1 ) is applied on a vertical metal wire then its length is ( L 1 ) and if force ( F 2 ) is applied on it then its length becomes 1.2. The real length of wire is? |
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787 | Young’s modulus of the material of a wire is ( Y ). If it is under a stress ( S ), the energy stored per unit volume is given by: A ( cdot frac{1}{2} frac{S}{Y} ) в. ( frac{1}{2} frac{S^{2}}{Y} ) c. ( frac{1}{2} frac{s}{Y^{2}} ) D. ( frac{1}{2} frac{S^{2}}{Y^{2}} ) |
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788 | One end of a string of length L and cross-sectional area A is fixed to a support and the other end is fixed to a bob of mass ( mathrm{m} ). The bob is revolved in a horizontal circle of radius ( r, ) with an angular velocity ( omega, ) such that the string makes an angle ( theta ) with the vertical. The increase ( Delta L ) in length of the string is A ( cdot frac{M L}{A Y} ) В. ( frac{M g L}{A Y cos theta} ) c. ( frac{M g L}{A Y sin theta} ) D. ( frac{M g L}{A Y} ) |
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789 | A copper wire of cross-section A is under a tension ( mathrm{T} ). Find the decrease in the cross-section area. Young’s modulus is ( Y ) and Poisson’s ratio is ( sigma ) ( ^{text {A }} cdot frac{sigma T}{2 A Y} ) в. ( frac{sigma T}{A Y} ) c. ( frac{2 sigma T}{A Y} ) D. ( frac{4 sigma T}{A Y} ) |
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790 | A wire is stretched by a force ( F . ) If ( s ) is the strain developed and ( Y ) is Young’s modulus of material of wire, then work done per unit volume is A ( cdot frac{Y s^{2}}{2} ) B. ( frac{s^{2}}{2 Y} ) c. ( frac{1}{2} F s ) D. ( frac{Y}{2 s^{2}} ) |
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791 | Q Type your question of ( 0.7 m m ) diameter and suspended vertically. The stone is now rotated in a horizontal plane at a rate such that wire makes an angle of ( 85^{circ} ) with the vertical ( f Y=7 times 10^{10} mathrm{Nm}^{-2}, sin 85^{circ}=0.9962 ) and ( cos 85^{circ}=0.0872, ) the increase in length of wire is ( A cdot 1.67 times 10^{-3} mathrm{m} ) B. ( 6.17 times 10^{-3} mathrm{m} ) C ( cdot 1.76 times 10^{-3} mathrm{m} ) D. 7.16×10-3 ( m ) |
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792 | For perfectly rigid bodies, the elastic constants ( Y, B ) and ( n ) are A. ( Y=B=n=0 ) B. ( Y=B=n ) -infinity c. ( Y=2 B=3 n ) D. ( Y=B=n=0.5 ) |
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793 | The expression for the determination of Poisson’s ratio for rubber is A ( cdot sigma=frac{1}{2}left[1-frac{d V}{A d L}right] ) в. ( sigma=frac{1}{2}left[1+frac{d V}{A d L}right] ) c. ( _{sigma}=frac{1}{2} frac{d V}{A d L} ) D. ( sigma=frac{d V}{A d L} ) |
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794 | A metal wire of length L is loaded and an elongation of ( Delta L ) is produced. If the area of cross section of the wire is ( A ) then the change in volume of the wire, when elongated is. Take Poisson’s ratio as 0.25 A ( cdot Delta V=(Delta L)^{2} A / L ) B . ( Delta V=(Delta L)^{2} A / 4 L ) c. ( Delta V=(Delta L)^{2} A / 2 L ) D. ( Delta V=(Delta L)^{2} A / 3 L ) |
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795 | The ratio of modulus of rigidity to bulk modulus for a Poisson’s ratio of 0.25 would be A. ( 2 / 3 ) в. ( 2 / 5 ) ( c .3 / 5 ) D. 1.0 |
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796 | Two wires are made of the same material and have the same volume. The first wire has cross-sectional area ( A ) and the second wire has cross-sectional area 3 A. If the length of the first wire is increased by ( Delta l ) on applying a force ( F ) how much force is needed to stretch the second wire by the same amount? A . 4 F B. 9 F ( c . F ) D. 6 F |
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797 | Choose the correct statements from the following: This question has multiple correct options A. Steel is more elastic than rubber. B. The stretching of a coil spring is determined by the young’s modulus of the wire of the spring. C. The frequency of a tuning fork is determined by the shear modulus of the material of the fork. D. When a material is subjected to a tensile (stretching) stress the restoring forces are caused by interatomic attraction. |
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798 | A wire of lenth L suppleid heat to raise its temperature by T.if y is the coefficient of volume expansion of the wire and Young’s modulus of the wire then the energy density stored in the wire is. |
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799 | A wire elongates by ( l ) mm when a load ( W ) is hanged from it. If the wire goes over a pulley and two weights ( W ) each are hung at the two ends, the elongation of the wire will be (in ( m m ) ): A . 1 в. 2 c. zero D. ( l / 2 ) |
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800 | A metal cube of side ( 10 mathrm{cm} ) is subjected to a shearing stress of ( 10^{4} N m^{-2} ). The modulus of rigidity if the top of the cube is displaced by ( 0.05 mathrm{cm} ) with respect to its bottom is A . ( 2 times 10^{6} mathrm{Nm}^{-2} ) B. ( 10^{5} N m^{-2} ) c. ( 1 times 10^{7} N m^{-2} ) D. ( 4 times 10^{5} mathrm{Nm}^{-2} ) |
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801 | In steel, the Young’s modulus and the strain at the breaking point are ( 2 times ) ( 10^{11} N / m^{2} ) and 0.15 respectively. The stress at the breaking point for steel is therefore: A ( cdot 1.33 times 10^{11} mathrm{Nm}^{-2} ) В. ( 1.33 times 10^{12} mathrm{Nm}^{-2} ) c. ( 7.5 times 10^{-13} mathrm{Nm}^{-2} ) D. ( 3 times 10^{10} mathrm{Nm}^{-2} ) |
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802 | The relationship between ( Y, eta ) and ( sigma ) is ( mathbf{A} cdot Y=2 eta(1+sigma) ) B ( . eta=2 Y(1+sigma) ) c. ( sigma=frac{2 Y}{(1+eta)} ) D. ( Y=eta(1+sigma) ) |
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803 | Possible value of Poisson’s ratio is ( A ) B. 0.9 ( c cdot 0.8 ) D. 0.4 |
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804 | A wire of length L and radius r fixed at one end and a force ( F ) applied to the other end produces and extension ( l ). The extension produced in another wire of the same material of length 2Land radius ( 2 r ) by a force ( 2 F ) is: ( mathbf{A} cdot l ) в. ( 2 l ) ( c cdot frac{l}{2} ) D. 4 |
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805 | A weight is suspended from a long metal wire. If the wire suddenly breaks, its temperature.:- A . rises B. falls c. remains unchanged D. attains a velue ( 0 K ) |
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806 | Steel wire of length ‘ ( L ) ‘ at ( 40^{circ} mathrm{C} ) is suspended from the ceiling and then a mass ‘ ( m^{prime} ) is hung from its free end. The wire is cooled down from ( 40^{circ} C ) to ( 30^{circ} C ) to regain its original length ( ^{prime} L^{prime} . ) The coefficient of linear thermal expansion of the steel is ( 10^{-5} /^{circ} C, ) Young’s modulus of steel is ( 10^{11} N / m^{2} ) and radius of the wire is ( 1 mathrm{mm} ). Assume that ( L>> ) diameter of the wire. Then the value of ‘ ( m ) ‘ in kg is nearly A . 3 B. 2 ( c .9 ) D. 5 |
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807 | A wire of length L and Density ( phi ) and young’s modulus Y is hanging from a support .Find the elongation in the length of the wire at which wire will break: ( mathbf{A} cdot frac{L^{2} phi g}{Y} ) B. ( frac{L^{2} phi g}{2 Y} ) ( ^{mathrm{c}} cdot frac{2 L^{2} phi g}{Y} ) D. ( frac{L^{2} phi g}{4 Y} ) |
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