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Mechanical Properties of Solids — NEET UG Physics PYQs

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

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1

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

NEET 2026 Solution View → 2

A metallic bar of Young's modulus, 0.5 10¹¹ ~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 from 0^ C t

NEET 2024 Solution View → 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 10¹¹ ~N ~m ⁻² , is:

NEET 2024 Solution View → 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  

NEET 2023 Solution View → 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 10¹¹ ~N ~m ⁻² )

NEET 2023 Solution View → 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 modu

NEET 2022 Solution View → 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 for Y

NEET 2020 Solution View → 8

Identify the incorrect statement.

AIIMS 2019 Solution View → 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

JIPMER 2019 Solution View → 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

NEET 2019 Solution View → 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 material

NEET 2019 Solution View → 12

Identify the incorrect statement.

NEET 2019 Solution View → 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.

NEET 2019 Solution View → 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

NEET 2019 Solution View → 15

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

JIPMER 2018 Solution View → 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 3 A . If the length of the

NEET 2018 Solution View → 17

The Young's modulus of a rope of 10 ~m length and having diameter of 2 ~cm is 20.0 10¹¹ dyne / cm ^2 . If the elongation produced in the rope is 1 ~cm , the force applied on the ro

NEET 2018 Solution View → 18

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

NEET 2018 Solution View → 19

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

NEET 2017 Solution View → 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 View → 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 View → 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 speed

JIPMER 2015 Solution View → 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 r

NEET 2015 Solution View → 24

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

NEET 2015 Solution View → 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 tempera

NEET 2015 Solution View → 26

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

NEET 2015 Solution View → 27

Young's modulus for a steel wire is 2 10¹¹ ~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 elastic

NEET 2015 Solution View → 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 speed

NEET 2015 Solution View → 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

NEET 2015 Solution View → 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 View → 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 followi

NEET 2014 Solution View → 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

NEET 2014 Solution View → 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

NEET 2013 Solution View → 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?

NEET 2013 Solution View → 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

JIPMER 2012 Solution View → 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

NEET 2012 Solution View → 37

The Bulk modulus for an incompressible liquid is

JIPMER 2011 Solution View → 38

The Bulk modulus for an incompressible liquid is

NEET 2011 Solution View → 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 View → 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

JIPMER 2010 Solution View → 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

NEET 2010 Solution View → 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

NEET 2010 Solution View → 43

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

NEET 2008 Solution View → 44

Shear modulus is zero for

AIIMS 2007 Solution View → 45

Shear modulus is zero for

NEET 2007 Solution View → 46

Which of the following is an amorphous solid?

AIIMS 2005 Solution View → 47

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

NEET 2005 Solution View → 48

Which of the following is an amorphous solid?

NEET 2005 Solution View → 49

The breaking stress of a wire depends upon

NEET 2002 Solution View → 50

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

NEET 2002 Solution View → 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 corr

NEET Solution View → 52

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

NEET Solution View → 53

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

NEET Solution View → 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.

NEET Solution View → 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 that

NEET Solution View → 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

NEET Solution View → 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 exte

NEET Solution View → 58

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

NEET Solution View → 59

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

NEET Solution View → 60

The graph given is a stress-strain curve for

NEET Solution View → 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) i

NEET Solution View → 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 a

NEET Solution View → 63

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

NEET Solution View → 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. Rea

NEET Solution View → 65

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

NEET Solution View → 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.

NEET Solution View → 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

NEET Solution View → 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 deformi

NEET Solution View → 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 fracturing,

NEET Solution View → 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 d

NEET Solution View → 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. (ii

NEET Solution View → 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 o

NEET Solution View → 73

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

NEET Solution View → 74

Match the following

NEET Solution View → 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 s

NEET Solution View → 76

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

NEET Solution View → 77

A copper wire ( ( Y =10¹¹ Nm ⁻² ) ) of length 8 m and steel wire ( ( Y =2 10¹¹ Nm ⁻² ) ) of length 4 m and each of cross-sectional area (0.5 ~cm ^2 ) are fastened end to end and st

NEET Solution View → 78

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

NEET Solution View → 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?

NEET Solution View → 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 structura

NEET Solution View → 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 0.

NEET Solution View → 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 ¹¹

NEET Solution View → 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 al

NEET Solution View → 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,

NEET Solution View → 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 narrow

NEET Solution View → 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 copp

NEET Solution View → 87

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

NEET Solution View → 88

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

NEET Solution View → 89

Which of the following observation from the given graph is correct

NEET Solution View → 90

Which statement is true regarding the properties of materials?

NEET Solution View → 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 m

NEET Solution View → 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 modulus

NEET Solution View → 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 an

NEET Solution View → 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 deformat

NEET Solution View → 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?

NEET Solution View → 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 of

NEET Solution View → 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 ?

NEET Solution View → 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 lit

NEET Solution View → 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?

NEET Solution View → 100

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

NEET Solution View → 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?

NEET Solution View → 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 )

NEET Solution View → 103

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

NEET Solution View → 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?

NEET Solution View → 105

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

NEET Solution View → 106

What is the Bulk modulus for a perfect rigid body?

NEET Solution View → 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 o

NEET Solution View → 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. What

NEET Solution View → 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 9.8

NEET Solution View → 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 str

NEET Solution View → 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 striking

NEET Solution View → 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

NEET Solution View → 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 modulu

NEET Solution View → 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 ABC

NEET Solution View → 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, f

NEET Solution View → 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 str

NEET Solution View → 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 str

NEET Solution View → 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 str

NEET Solution View → 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 Poisso

NEET Solution View → 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 , which

NEET Solution View →
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