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NEET Mechanical Properties of Solids PYQs with Solutions

122 previous year questions from Mechanical Properties of Solids (NEET UG Physics) with answers and solutions. Numbered list, year tags, and one-tap solutions — built for serious JEE / NEET practice.

122 questionsPhysics2002–2026Answers + solutions

About Mechanical Properties of Solids PYQs

Mechanical Properties of Solids has 122 previous year questions in the Quantrex Academy NEET UG Physics bank. The 122 questions in this list come from NEET (109), JIPMER (9) and AIIMS (4), spanning 2002 to 2026. Each question opens on its own page with the options, the correct answer and the worked solution where available.

Questions by year (this list)

  • 2026: 1
  • 2024: 2
  • 2023: 2
  • 2022: 1
  • 2020: 1
  • 2019: 7
  • 2018: 4
  • 2017: 1
  • 2015: 10
  • 2014: 3
  • 2013: 2
  • 2012: 2

Mechanical Properties of Solids questions with solutions

1

Match List I with List II : List I List II A. Young's Modulus I. (Δ d)/(Δ L)((L)/(d)) B. Compressibility II. (F L)/(A(Δ L)) C. Bulk Modulus III. -(1)/(Δ P)((Δ V)/(V)) D. Poisson's

NEET 2026 Solution
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2

A metallic bar of Young's modulus, 0.5 × 10^ 11 ~N ~m^ -2 and coefficient of linear thermal expansion 10^ -5 ^ ∘ C^ -1 , length 1 m and area of cross-section 10^ -3 ~m^2 is heated

NEET 2024 Solution
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3

The maximum elongation of a steel wire of 1 m length if the elastic limit of steel and its Young's modulus, respectively, are 8 × 10^8 ~N ~m^ -2 and 2 × 10^ 11 ~N ~m^ -2 , is:

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4

Let a wire be suspended from the ceiling (rigid support) and stretched by a weight W attached at its free end. The longitudinal stress at any point of cross-sectional area A of

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5

The amount of elastic potential energy per unit volume (in SI unit) of a steel wire of length 100 ~cm to stretch it by 1 ~mm is (if Young's modulus of the wire =2.0 × 10^ 11 ~N

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6

Given below are two statements : One is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): The stretching of a spring is determined by the shear

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7

A wire of length L , area of cross section A is hanging from a fixed support. The length of the wire changes to L _ 1 when mass M is suspended from its free end. The expression

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8

Identify the incorrect statement.

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9

Two wire of same material having radius in ratio 2: 1 and lengths in ratio 1: 2 . If same force is applied on them, then ratio of their change in length will be

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10

When a block of mass M is suspended by a long wire of length L , the length of the wire becomes (L + l) . The elastic potential energy stored in the extended wire is

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11

The stress-strain curves are drawn for two different materials X and Y . It is observed that the ultimate strength point and the fracture point are close to each other for

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12

Identify the incorrect statement.

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13

Assertion : Identical springs of steel and copper are equally stretched. More work will be done on the steel spring. Reason : Steel is more elastic than copper.

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14

Two wire of same material having radius in ratio 2: 1 and lengths in ratio 1: 2 . If same force is applied on them, then ratio of their change in length will be

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15

If compressibility of material is 4 × 10^ -5 per atm, pressure is 100 atm and volume is 100 ~cm^3 , then find Δ V= ?

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16

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 3A . If the length of the

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17

The Young's modulus of a rope of 10 ~m length and having diameter of 2 ~cm is 20.0 × 10^ 11 dyne / cm^2 . If the elongation produced in the rope is 1 ~cm , the force applied on

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18

If compressibility of material is 4 × 10^ -5 per atm, pressure is 100 atm and volume is 100 ~cm^3 , then find Δ V= ?

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19

The bulk modulus of a spherical object is B . If it is subjected to uniform pressure p , the fractional decrease in radius is

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20

For a constant hydraulic stress P on an object with bulk modulus (B) , the fractional change in the volume of object will be

AIIMS 2015 Solution
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21

Find the increase in pressure required to decrease the volume of water sample by 0.01 \% . Bulk modulus of water =2.1 × 10^9 Nm^ -2

JIPMER 2015 Solution
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22

What is the change in the volume of 1.0 L kerosene, when it is subjected to an extra pressure of 2.0 × 10^5 Nm^ -2 from the following data? Density of kerosene =800 ~kg m^ -3 and

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23

The Young's modulus of steel is twice that of brass. Two wires of same length and of same area of cross-section, one of steel and another of brass are suspended from the same

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24

The approximate depth of an ocean is 2700 m . The compressibility of water is 45.4 × 10 ^ - 11 Pa^ - 1 and density of water is 10 ^ 3   kg/m ^ 3 . What fractional compression

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25

The value of coefficient of volume expansion of glycerin is 5 × 10 ^ - 4 K ^ - 1 . The fractional change in the density of glycerin for a rise of 40 ^ o C in its temperature is:

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26

For a constant hydraulic stress P on an object with bulk modulus (B) , the fractional change in the volume of object will be

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27

Young's modulus for a steel wire is 2 × 10^ 11 ~Pa and its elastic limit is 2.5 × 10^8 ~Pa . By how much can a steel wire 3 ~m long and 2 ~mm in diameter be stretched before the

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28

What is the change in the volume of 1.0 L kerosene, when it is subjected to an extra pressure of 2.0 × 10^5 Nm^ -2 from the following data? Density of kerosene =800 ~kg m^ -3 and

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29

Find the increase in pressure required to decrease the volume of water sample by 0.01 \% . Bulk modulus of water =2.1 × 10^9 Nm^ -2

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30

A steel wire of 1 m long and 1 ~mm^2 cross section area is hanged from rigid end when weight of 1 kg is hanged from it, then change in length will be (Young's coefficient for wire

JIPMER 2014 Solution
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31

Copper of fixed volume V is drawn into wire of length l . When this wire is subjected to a constant force F, the extension produced in the wire is ∆ l . Which of the following

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32

A steel wire of 1 m long and 1 ~mm^2 cross section area is hanged from rigid end when weight of 1 kg is hanged from it, then change in length will be (Young's coefficient for wire

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33

In 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

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34

The following four wires are made of the same material. Which of these will have the largest extension when the same tension is applied?

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35

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

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36

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

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37

The Bulk modulus for an incompressible liquid is

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38

The Bulk modulus for an incompressible liquid is

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39

A wire can be broken by applying load of 200 N . The force required to break another wire of the same length and same material, but double in diameter is

JIPMER 2010 Solution
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40

A cube of side 40 mm has its upper face displaced by 0.1 mm by a tangential force of 8 kN . The shearing modulus of cube is

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41

A cube of side 40 mm has its upper face displaced by 0.1 mm by a tangential force of 8 kN . The shearing modulus of cube is

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42

A wire can be broken by applying load of 200 N . The force required to break another wire of the same length and same material, but double in diameter is

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43

If a wire is extended to a new length \(l\), the work done is

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44

Shear modulus is zero for

AIIMS 2007 Solution
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45

Shear modulus is zero for

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46

Which of the following is an amorphous solid?

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47

For a constant hydraulic stress on an object, the fractional change in the object's volume (Δ V / V) and its bulk modulus (B) are related as

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48

Which of the following is an amorphous solid?

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49

The breaking stress of a wire depends upon

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50

Assertion : Stress is the internal force per unit area of a body. Reason : Rubber is more elastic than steel.

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51

In plotting stress versus strain curves 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

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52

The load versus elongation graph for four wires is shown. The thinnest wire is

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53

Find the Young's modulus of the wire whose stress-strain curve is as shown in the following figure

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54

The graph below represents a typical stress-strain curve for a metal. Identify the point on the graph that is the ultimate tensile strength of the material.

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55

The elastic behaviour of material for linear stress and linear strain, is shown in the figure. The energy density for a linear strain of 5 × 10 ^ - 4 is _____ kJ m ^ - 3 . Assume

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56

The load versus elongation graph for four wires of the same materials shown in the figure. The thinnest wire is represented by the line

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57

In an experiment to determine the Young's modulus, steel wires of five different lengths ( 1, 2, 3, 4 and 5 ) but of same cross-section (2 mm ^ 2 ) were taken and curves between

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58

The diagram shows stress versus strain curve for the materials \(A\) and \(B\). From the curves, we can infer that

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59

The value of (90^ ∘ -θ) in the graph gives

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60

The graph given is a stress-strain curve for

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61

Two wires A and B of same length are made of same material. Load (F) vs. elongation (x) graph for these two wires is shown in the figure. Then which of the following statement(s)

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62

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

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63

Assertion (A): Strain is a unit-less quantity. Reason (R): Strain is equivalent to force.

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64

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R Assertion (A) : Steel is used in the construction of buildings and bridges.

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65

Assertion (A): Ductile materials exhibit a large plastic deformation before fracture. Reason (R): Ductile materials have a high Young's modulus.

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66

Assertion (A): The stretching of a coil is determined by its shear modulus. Reason (R): Shear modulus changes only the shape of a body, keeping its dimensions unchanged.

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67

Statement (A) For an ideal liquid, the bulk modulus is infinite and the shear modulus is zero. Statement (B) The volume contraction of a metal cube of bulk modulus 140 GPa .10 ~cm

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68

Assertion (A): Elastomers possess a very high elastic limit. Reason (R): Elastomers can be stretched to large deformations and still return to their original shape when the

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69

Assertion (A): For a given material, the breaking stress is independent of its length. Reason (R): Breaking stress is the maximum stress a material can withstand before

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70

Consider the following statements about stress and strain: (i) Stress is defined as restoring force per unit area. (ii) Strain is the ratio of change in dimension to the original

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71

Consider the following statements about elastic constants: (i) Young's modulus relates tensile stress to tensile strain. (ii) Bulk modulus relates stress and volumetric strain.

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72

Consider the following about ductile and brittle materials: (i) Ductile materials have a large region between elastic limit and breaking point. (ii) Brittle materials show little

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73

Consider the following about stress-strain curve: (i) Proportional limit is the point up to which stress \(α\) strain. (ii) Elastic limit is the maximum stress a material can bear

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74

Match the following

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75

Match the following Column-I Column-II (A) Shear modulus (I) Resistance to change in volume (B) Shearing stress (II) Proportionality constant (C) Elastic fatigue (III) Tangential

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76

Match List-I with List-II : amp; -I amp; amp; -II (A) amp; A force that restores an elastic body of unit area to its original state amp; (I) amp; Bulk modulus (B) amp; Two equal

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77

A copper wire \((Y=10^ 11 Nm^ -2 )\) of length 8 m and steel wire \((Y=2 × 10^ 11 Nm^ -2 )\) of length 4 m and each of cross-sectional area \(0.5 cm^2\) are fastened end to end

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78

\( Column I Column II (Property) (Description/Characteristic) (A) Elasticity (P) array l Ability to retain deformation after stress is removed array (B) Plasticity (Q) array l

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79

What is the stress in the structural steel rod with a radius of 10 mm and a length of 1.0 m when a 100 kN force stretches it along its length?

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80

What is the strain on a structural steel rod with a radius of 10 mm and a length of 1.0 m when subjected to a 100 kN force along its length, given that Young's modulus of

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81

When a copper wire of length 2.2 m and a steel wire of length 1.6 m, both of diameter 3.0 mm, are connected end to end and stretched by a load, the net elongation is found to be

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82

What is the elongation of a structural steel rod with a radius of 10 mm and a length of 1.0 m when subjected to a 100 kN force?(Young’s modulus, of structural steel is 2.0 × 10 ^

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83

In a human pyramid in a circus, the entire weight of the balanced group is supported by the legs of a performer who is lying on his back (as shown in Fig.). The combined mass of

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84

What is the fractional compression, ∆V/V, of water at the bottom of the Indian Ocean, with an average depth of about 3000 m, and a given bulk modulus of water as 2.2 × 10^9 N m⁻²

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85

What is the displacement of the upper edge of a square lead slab with a side length of 50 cm and thickness of 10 cm when subjected to a shearing force of 9.0 × 10^4 N on its

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86

What is the ratio of the Young's modulus of steel to that of copper when a steel wire of length 4.7 m and cross-sectional area 3.0 × 10^-5 m² stretches by the same amount as a

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87

Figure shows the strain-stress curve for a given material. What is the approximate yield strength for this material?

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88

Figure shows the strain-stress curve for a given material. What is the Young’s modulus

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89

Which of the following observation from the given graph is correct

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90

Which statement is true regarding the properties of materials?

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91

Two wires of diameter 0.25 cm, one made of steel and the other made of brass are loaded as shown in Fig.. The unloaded length of steel wire is 1.5 m and that of brass wire is 1.0

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92

What is the vertical deflection of the opposite face of the aluminium cube when a 100 kg mass is attached to it, given that the edge of the cube is 10 cm long and the shear

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93

What is the compressional strain of each of the four identical hollow cylindrical columns of mild steel supporting a big structure with a mass of 50,000 kg, given that the inner

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94

What is the resulting strain when a piece of copper with a rectangular cross-section of 15.2 mm × 19.1 mm is subjected to a tension force of 44,500 N, causing only elastic

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95

What is the ratio of the diameter of the copper wires to the diameter of the iron wire, if all three wires, each 2.0 m long, are to have the same tension?

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96

What is the elongation of the wire when a 14.5 kg mass, fastened to the end of a steel wire of unstretched length 1.0 m, is whirled in a vertical circle with an angular velocity

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97

What is the maximum load a steel cable with a radius of 1.5 cm can support at a ski area if the maximum stress is not to exceed 108 N m ^ -2 ?

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98

What is the bulk modulus of water calculated from the provided data: Initial volume = 100.0 litre, Pressure increase = 100.0 atm (1 atm = 1.013 × 10 ^ 5 Pa), Final volume = 100.5

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99

What is the density of water at a depth where pressure is 80.0 atm, given that its density at the surface is 1.03 × 10^3 kg m–3?

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100

What is the fractional change in volume of a glass slab when subjected to a hydraulic pressure of 10 atm?

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101

What is the volume contraction of a solid copper cube, 10 cm on an edge, when subjected to a hydraulic pressure of 7.0 × 10^6 Pa?

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102

How much should the pressure on a litre of water be changed to compress it by 0.10% ? (Bulk modulus of water, B=2.2×10N m ^ 3 )

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103

Identical springs of steel and copper are equally stretched. On which material will more work have to be done?

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104

For the same longitudinal strain, which material will have a greater tensile stress, given that the Young’s modulus for steel is much more than that for rubber?

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105

What is the Young’s modulus for a perfect rigid body?

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106

What is the Bulk modulus for a perfect rigid body?

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107

A wire of length L and radius r is clamped rigidly at one end. When the other end of the wire is pulled by a force f, its length increases by l. Another wire of the same material

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108

A steel rod (Y = 2.0 × 10 11 Nm –2 ; and α = 10 –50 C –1 ) of length 1 m and area of cross-section 1 cm 2 is heated from 0°C to 200°C, without being allowed to extend or bend.

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109

What is the approximate depth, in meters, to which a rubber ball must be taken in the deep sea so that its volume is decreased by 0.1%, given that the bulk modulus of rubber is

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110

When a truck is pulling a car out of a ditch using a 9.1 m long steel cable with a radius of 5 mm, and a Young's modulus for steel of 2 × 10 11 Nm, at what length has the cable

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111

When two identical solid balls, one made of ivory and the other of wet clay, are dropped from the same height onto the floor, which one will rise to a greater height after

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112

Consider a long steel bar under a tensile stress due to forces F acting at the edges along the length of the bar (Fig. 9.5). Consider a plane making an angle θ with the length.For

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113

What is the extension in the length of a steel wire of length 10 m and radius 0.1 cm, with a mass of 25 kg hanging from its free end? (Assume lateral strains –3 with Young’s

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114

An equilateral triangle ABC is formed by two Cu rods AB and BC and one Al rod. It is heated in such a way that temperature of each rod increases by ∆T. Find change in the angle

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115

A steel rod of length 2l, cross sectional area A and mass M is set rotating in a horizontal plane about an axis passing through the centre. If Y is the Young’s modulus for steel

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116

A stone of mass m is tied to an elastic string of negligible mass and spring constant k. The unstretched length of the string is L and has negligible mass. The other end of the

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117

A stone of mass m is tied to an elastic string of negligible mass and spring constant k. The unstretched length of the string is L and has negligible mass. The other end of the

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118

A stone of mass m is tied to an elastic string of negligible mass and spring constant k. The unstretched length of the string is L and has negligible mass. The other end of the

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119

A uniform solid cylindrical rod is subjected to a longitudinal tensile stress. It is observed that its length increases by 0.1\% while its diameter decreases by 0.03\% . The

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120

A cylindrical wire of length L and diameter D is subjected to a longitudinal stretching force F . If the material of the wire has a Young's modulus Y and a Poisson's ratio σ

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