Chapter Test: Elasticity (Mechanical Properties of Solids) - 2

Question 1

The young's modulus of material of a thin ring shaped elastic body is Y. The mass of ring is m, area of cross section is A, It's initial radius is R. Ring is a little elongated, then left alone. At what time will ring circumference be same as it was initially. Neglect loss of energy.

Accepted Answer

Answer

Answer

Answer

Question 2

A slightly conical wire of length L and end radii r₁ and r₂ is stretched by two forces F, F applied parallel to length in opposite directions and normal to end faces. If Y denotes the Young’s modulus, then extension produced is

Accepted Answer

Answer

Answer

Answer

Question 3

A block is executing SHM with a time period of 1 sec. and energy of 1 J. What is the mass (in kg) of the block? The amplitude is 10 cm. (Take π² = 10)

Accepted Answer

10

Answer

5

Answer

15

Answer

20

Question 4

A steel wire (Y = 200 GPa) of cross-sectional area = 1 mm² is stretched by a force = 1000 N. The percentage increases in length of the wire is

Accepted Answer

0.5%

Answer

1%

Answer

2%

Answer

1.5%

Question 5

A wire of length '2m' is clamped horizontally between two fixed support. A mass m = 5 kg is hanged from middle of wire. The vertical depression in wire in equilibrium is (young modulus of wire = 2.4 × 10⁹ N/m₂, crosssectional area = 1 cm₂) -

Accepted Answer

4.68 cm

Answer

1.52 cm

Answer

1.12 cm

Answer

0.58 cm

Question 6

If there is no change in the volume of wire on stretching, then poisson's ratio for the material of wire is -

Accepted Answer

0.5

Answer

–1

Answer

0

Answer

0.25

Question 7

If the ratio of lengths, radii and Young’s moduli of steel and brass wires in the figure are a,b and c respectively, then the corresponding ratio of increase in their lengths is

Accepted Answer

3a/2b2c

Answer

2a2c/b

Answer

2ac/b2

Answer

3c/2ab2

Question 8

Blood is flowing at the rate of 100 cm³/s in a capillary of cross sectional area 0.25 m². The velocity of flow is -

Accepted Answer

0.4 mm/s

Answer

0.1 mm/s

Answer

0.2 mm/s

Answer

0.3 mm/s

Question 9

If the compressibility of water is σ per unit atmospheric pressure, then the decrease in volume (V) due to atmospheric pressure P will be -

Accepted Answer

σPV

Answer

σP/V

Answer

σ/PV

Answer

σV/P

Question 10

The stress versus strain graphs for wires of two materials A and B as shown is the figure. If Y_Aand Y_B are the young’s modulus of the materials, then-

Accepted Answer

YA = 3YB

Answer

YB = 2YA

Answer

YA = YB

Answer

YB = 3YA

Question 11

A wire suspended vertically from one of its ends is stretched by attaching a weight of 200N to the lower end. The weight stretches the wire by 1mm. Then the elastic energy stored in the wire-

Accepted Answer

0.1 J

Answer

0.2 J

Answer

10 J

Answer

20 J

Question 12

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 crosssectional area 3A. if the length of wire 1 increases by Δx on applying force F, how much force is needed to stretch wire 2 by the same amount ?

Accepted Answer

9 F

Answer

F

Answer

4 F

Answer

6 F

Question 13

Accepted Answer

0.1 J

Answer

0.2 J

Answer

10 J

Answer

20 J

Question 14

Two wires of the same radius and material and having lengths 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 -

Accepted Answer

1 : 1

Answer

1 : 7.6

Answer

8.9 : 1

Answer

1: 3.2

Question 15

A uniform metal rod of 2 mm² cross section is heated from 0ºC to 20ºC. The coefficient of linear expansion of the rod is 12 × 10^–6/ºC, its Young's modulus is 10¹¹ N/m². The energy stored per unit volume of the rod is -

Accepted Answer

2880 J/m3

Answer

1500 J/m3

Answer

5760 J/m3

Answer

1440 J/m3

Question 16

Accepted Answer

Answer

Answer

Answer

Question 17

The ratio of diameters of two wires of same material in n : 1. The length of each wire is 4m. on applying the same load, the increase in length of thin wire will be (n > 1) -

Accepted Answer

n2 times

Answer

n times

Answer

2n times

Answer

(2n + 1) times

Question 18

A metal rod of Young's modulus 2 × 10¹⁰ Nm^–2undergoes an elastic strain of 0.06%. The energy per unit volume stored in J m^–3 is -

Accepted Answer

3600

Answer

7200

Answer

10800

Answer

14400

Question 19

In order to twist one end of a wire, 2m long and 4 mm in diameter, though 45º, the torque required is -(η = 5 × 10¹⁰ Nm^–2)

Accepted Answer

0.49 Nm

Answer

3.49 Nm

Answer

49 Nm

Answer

4.9 × 10¹⁰ Nm

Question 20

Accepted Answer

2 × 10¹¹ N/m²

Answer

10¹¹ N/m²

Answer

3 × 10^–11 N/m²

Answer

None

Question 21

Two wires of the same radius and material have their length in the ratio 1 : 2. If these are stretched by same force and strain produced in the two wires will be in the ratio -

Accepted Answer

1 : 1

Answer

1 : 2

Answer

2 : 1

Answer

1 : 4

Question 22

Two bodies of masses 2kg and 3kg are connected by a metal wire of cross section 0.04 mm². Breaking stress of metal wire is 2.5 GPa. The maximum force F that can be applied to 3kg block so that wire does not break is : (Neglect friction)

Accepted Answer

250 N

Answer

100 N

Answer

150 N

Answer

200 N

Question 23

You hang a flood lamp from the end of a vertical steel wire. The flood lamp stretches the wire 0.18 mm and the stress is proportional to the strain. How much would it have stretched if the wire were twice as long?

Accepted Answer

0.36 mm

Answer

0.34 mm

Answer

0.38 mm

Answer

0.40 mm

Question 24

Stress is

Accepted Answer

force per unit area

Answer

force per unit length

Answer

total applied force

Answer

three point average of forces

Question 25

Columns are loaded in

Accepted Answer

axial compression

Answer

shear

Answer

hydraulic stress

Answer

axial tension

Question 26

The S.I unit of stress is

Accepted Answer

Pascal

Answer

Watt

Answer

Joule

Answer

Newton

Question 27

Material is said to be ductile if

Accepted Answer

a large amount of plastic deformation takes place between the elastic limit and the fracture point

Answer

fracture occurs soon after the elastic limit is passed

Answer

material cross section is not significantly reduced at failure

Answer

material breaks suddenly at little elongation

Question 28

In constructing a large mobile, an artist hangs an aluminum sphere of mass 6.0 kg from a vertical steel wire 0.50 m long and 2.5 × 10⁻³ cm²in cross-sectional area. On the bottom of the sphere he attaches a similar steel wire, from which he hangs a brass cube of mass 10.0 kg. Compute the elongation.

Accepted Answer

1.6 mm upper, 1.0 mm lower

Answer

3.7 mm upper, 1.0 mm lower

Answer

3.4 mm upper, 1.0 mm lower

Answer

3.5 mm upper, 1.1 mm lower

Question 29

volume strain is defined

Accepted Answer

as the ratio of change in volume (ΔV) to the original volume V

Answer

as the change in volume ΔV

Answer

as the ratio of change in volume (ΔV) to thrice the original volume V

Answer

as the ratio of change in volume (ΔV) to twice the original volume V

Question 30

A steel wire of length 4.7 m and cross-sectional area 3.0 × 10⁻⁵ m² stretches by the same amount as a copper wire of length 3.5 m and cross-sectional area of 4.0 × 10⁻⁵ m² under a given load. What is the ratio of the Young’s modulus of steel to that of copper?

Accepted Answer

1.8

Answer

1.2

Answer

1.6

Answer

2.0

Chapter Test: Elasticity (Mechanical Properties of Solids) - 2 JEE Physics

MCQ Practice Test & Solutions: Chapter Test: Elasticity (Mechanical Properties of Solids) - 2 (30 Questions)

The young's modulus of material of a thin ring shaped elastic body is Y. The mass of ring is m, area of cross section is A, It's initial radius is R. Ring is a little elongated, then left alone. At what time will ring circumference be same as it was initially. Neglect loss of energy.

A slightly conical wire of length L and end radii r₁ and r₂ is stretched by two forces F, F applied parallel to length in opposite directions and normal to end faces. If Y denotes the Young’s modulus, then extension produced is

A block is executing SHM with a time period of 1 sec. and energy of 1 J. What is the mass (in kg) of the block? The amplitude is 10 cm. (Take π² = 10)

A steel wire (Y = 200 GPa) of cross-sectional area = 1 mm² is stretched by a force = 1000 N. The percentage increases in length of the wire is

A wire of length '2m' is clamped horizontally between two fixed support. A mass m = 5 kg is hanged from middle of wire. The vertical depression in wire in equilibrium is (young modulus of wire = 2.4 × 10⁹ N/m₂, crosssectional area = 1 cm₂) -

If there is no change in the volume of wire on stretching, then poisson's ratio for the material of wire is -

If the ratio of lengths, radii and Young’s moduli of steel and brass wires in the figure are a,b and c respectively, then the corresponding ratio of increase in their lengths is

Blood is flowing at the rate of 100 cm³/s in a capillary of cross sectional area 0.25 m². The velocity of flow is -

If the compressibility of water is σ per unit atmospheric pressure, then the decrease in volume (V) due to atmospheric pressure P will be -

The stress versus strain graphs for wires of two materials A and B as shown is the figure. If Y_Aand Y_B are the young’s modulus of the materials, then-

A wire suspended vertically from one of its ends is stretched by attaching a weight of 200N to the lower end. The weight stretches the wire by 1mm. Then the elastic energy stored in the wire-

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 crosssectional area 3A. if the length of wire 1 increases by Δx on applying force F, how much force is needed to stretch wire 2 by the same amount ?

Two wires of the same radius and material and having lengths 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 uniform metal rod of 2 mm² cross section is heated from 0ºC to 20ºC. The coefficient of linear expansion of the rod is 12 × 10^–6/ºC, its Young's modulus is 10¹¹ N/m². The energy stored per unit volume of the rod is -

The ratio of diameters of two wires of same material in n : 1. The length of each wire is 4m. on applying the same load, the increase in length of thin wire will be (n > 1) -

A metal rod of Young's modulus 2 × 10¹⁰ Nm^–2undergoes an elastic strain of 0.06%. The energy per unit volume stored in J m^–3 is -

In order to twist one end of a wire, 2m long and 4 mm in diameter, though 45º, the torque required is -(η = 5 × 10¹⁰ Nm^–2)

Two wires of the same radius and material have their length in the ratio 1 : 2. If these are stretched by same force and strain produced in the two wires will be in the ratio -

Two bodies of masses 2kg and 3kg are connected by a metal wire of cross section 0.04 mm². Breaking stress of metal wire is 2.5 GPa. The maximum force F that can be applied to 3kg block so that wire does not break is : (Neglect friction)

You hang a flood lamp from the end of a vertical steel wire. The flood lamp stretches the wire 0.18 mm and the stress is proportional to the strain. How much would it have stretched if the wire were twice as long?

Stress is

Columns are loaded in

The S.I unit of stress is

Material is said to be ductile if

volume strain is defined

A steel wire of length 4.7 m and cross-sectional area 3.0 × 10⁻⁵ m² stretches by the same amount as a copper wire of length 3.5 m and cross-sectional area of 4.0 × 10⁻⁵ m² under a given load. What is the ratio of the Young’s modulus of steel to that of copper?

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Chapter Test: Elasticity (Mechanical Properties of Solids) - 2 JEE Physics

MCQ Practice Test & Solutions: Chapter Test: Elasticity (Mechanical Properties of Solids) - 2 (30 Questions)

The young's modulus of material of a thin ring shaped elastic body is Y. The mass of ring is m, area of cross section is A, It's initial radius is R. Ring is a little elongated, then left alone. At what time will ring circumference be same as it was initially. Neglect loss of energy.

A slightly conical wire of length L and end radii r1 and r2 is stretched by two forces F, F applied parallel to length in opposite directions and normal to end faces. If Y denotes the Young’s modulus, then extension produced is

A block is executing SHM with a time period of 1 sec. and energy of 1 J. What is the mass (in kg) of the block? The amplitude is 10 cm. (Take π2 = 10)​

A steel wire (Y = 200 GPa) of cross-sectional area = 1 mm2 is stretched by a force = 1000 N. The percentage increases in length of the wire is

A wire of length '2m' is clamped horizontally between two fixed support. A mass m = 5 kg is hanged from middle of wire. The vertical depression in wire in equilibrium is (young modulus of wire = 2.4 × 109 N/m2, crosssectional area = 1 cm2) -

If there is no change in the volume of wire on stretching, then poisson's ratio for the material of wire is -

If the ratio of lengths, radii and Young’s moduli of steel and brass wires in the figure are a,b and c respectively, then the corresponding ratio of increase in their lengths is

Blood is flowing at the rate of 100 cm3/s in a capillary of cross sectional area 0.25 m2. The velocity of flow is -

If the compressibility of water is σ per unit atmospheric pressure, then the decrease in volume (V) due to atmospheric pressure P will be -

The stress versus strain graphs for wires of two materials A and B as shown is the figure. If YA and YB are the young’s modulus of the materials, then-

A wire suspended vertically from one of its ends is stretched by attaching a weight of 200N to the lower end. The weight stretches the wire by 1mm. Then the elastic energy stored in the wire-

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 crosssectional area 3A. if the length of wire 1 increases by Δx on applying force F, how much force is needed to stretch wire 2 by the same amount ?

Two wires of the same radius and material and having lengths 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 uniform metal rod of 2 mm2 cross section is heated from 0ºC to 20ºC. The coefficient of linear expansion of the rod is 12 × 10–6/ºC, its Young's modulus is 1011 N/m2. The energy stored per unit volume of the rod is -

The ratio of diameters of two wires of same material in n : 1. The length of each wire is 4m. on applying the same load, the increase in length of thin wire will be (n > 1) -

A metal rod of Young's modulus 2 × 1010 Nm–2 undergoes an elastic strain of 0.06%. The energy per unit volume stored in J m–3 is -

In order to twist one end of a wire, 2m long and 4 mm in diameter, though 45º, the torque required is -(η = 5 × 1010 Nm–2)

Two wires of the same radius and material have their length in the ratio 1 : 2. If these are stretched by same force and strain produced in the two wires will be in the ratio -

Two bodies of masses 2kg and 3kg are connected by a metal wire of cross section 0.04 mm2. Breaking stress of metal wire is 2.5 GPa. The maximum force F that can be applied to 3kg block so that wire does not break is : (Neglect friction)

You hang a flood lamp from the end of a vertical steel wire. The flood lamp stretches the wire 0.18 mm and the stress is proportional to the strain. How much would it have stretched if the wire were twice as long?

Stress is

Columns are loaded in

The S.I unit of stress is

Material is said to be ductile if

volume strain is defined

A steel wire of length 4.7 m and cross-sectional area 3.0 × 10−5 m2 stretches by the same amount as a copper wire of length 3.5 m and cross-sectional area of 4.0 × 10−5 m2 under a given load. What is the ratio of the Young’s modulus of steel to that of copper?

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Physics for JEE Main & Advanced

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About this JEE Practice Test

Explore more JEE Study Resources

A slightly conical wire of length L and end radii r₁ and r₂ is stretched by two forces F, F applied parallel to length in opposite directions and normal to end faces. If Y denotes the Young’s modulus, then extension produced is

A block is executing SHM with a time period of 1 sec. and energy of 1 J. What is the mass (in kg) of the block? The amplitude is 10 cm. (Take π² = 10)

A steel wire (Y = 200 GPa) of cross-sectional area = 1 mm² is stretched by a force = 1000 N. The percentage increases in length of the wire is

A wire of length '2m' is clamped horizontally between two fixed support. A mass m = 5 kg is hanged from middle of wire. The vertical depression in wire in equilibrium is (young modulus of wire = 2.4 × 10⁹ N/m₂, crosssectional area = 1 cm₂) -

Blood is flowing at the rate of 100 cm³/s in a capillary of cross sectional area 0.25 m². The velocity of flow is -

The stress versus strain graphs for wires of two materials A and B as shown is the figure. If Y_Aand Y_B are the young’s modulus of the materials, then-

A uniform metal rod of 2 mm² cross section is heated from 0ºC to 20ºC. The coefficient of linear expansion of the rod is 12 × 10^–6/ºC, its Young's modulus is 10¹¹ N/m². The energy stored per unit volume of the rod is -

A metal rod of Young's modulus 2 × 10¹⁰ Nm^–2undergoes an elastic strain of 0.06%. The energy per unit volume stored in J m^–3 is -

In order to twist one end of a wire, 2m long and 4 mm in diameter, though 45º, the torque required is -(η = 5 × 10¹⁰ Nm^–2)

Two bodies of masses 2kg and 3kg are connected by a metal wire of cross section 0.04 mm². Breaking stress of metal wire is 2.5 GPa. The maximum force F that can be applied to 3kg block so that wire does not break is : (Neglect friction)

A steel wire of length 4.7 m and cross-sectional area 3.0 × 10⁻⁵ m² stretches by the same amount as a copper wire of length 3.5 m and cross-sectional area of 4.0 × 10⁻⁵ m² under a given load. What is the ratio of the Young’s modulus of steel to that of copper?