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A copper wire $(Y = 10^{11} N m^{- 2})$ of length $8 m$ and a steel wire $(Y = 2 \times 10^{11} N m^{- 2})$ of length $4 m$ , each of $0.5 {cm}^{2}$ cross-section is fastened end to end and stretched with a tension of $500 N$ .

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Important Questions on Elasticity

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JEE Main

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Physics Vol 1>Chapter 12 - Elasticity>Objective Problems>Q 23

A uniform cylinder rod of length $L$ , cross-sectional area $A$ and Young's modulus $Y$ is acted upon by the forces shown in the figure. The elongation of the rod is

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Complete Study Pack for Engineering Entrances Objective Physics Vol 1>Chapter 12 - Elasticity>Objective Problems>Q 24

A stress of

10^{6} N m^{- 2}

is required for breaking material. If the density of the material is

3 \times 10^{3} kg m^{- 3},

then what should be the length of the wire made of this material so that it breaks under its own weight?

HARD

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Complete Study Pack for Engineering Entrances Objective Physics Vol 1>Chapter 12 - Elasticity>Objective Problems>Q 25

Uniform pressure

p

is exerted on all sides of a solid cube at temperature

t ° C

. By what amount should the temperature be raised in order to bring the volume back to that it had been before the pressure was applied?
(Linear expansivity of the material of the cube is

α

and the bulk modulus of elasticity is

β

)

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Complete Study Pack for Engineering Entrances Objective Physics Vol 1>Chapter 12 - Elasticity>Objective Problems>Q 26

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 statements is correct?

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Complete Study Pack for Engineering Entrances Objective Physics Vol 1>Chapter 12 - Elasticity>Objective Problems>Q 27

The temperature of a wire of length

1 m

and area of cross-section

1 {cm}^{2}

is increased from

0 ° C

100 ° C

. If the rod is not allowed to increase in length, the force required will be (

α = 10^{- 5} ° C^{- 1}

and

Y = 10^{11} N m^{- 2}

)

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Complete Study Pack for Engineering Entrances Objective Physics Vol 1>Chapter 12 - Elasticity>Objective Problems>Q 28

Two wires of copper having the length in the ratio

4 : 1

and their radii ratio as

1 : 4

are stretched by the same force. The ratio of longitudinal strain in the two will be

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Complete Study Pack for Engineering Entrances Objective Physics Vol 1>Chapter 12 - Elasticity>Objective Problems>Q 29

The interatomic distance for metal is

3 \times 10^{- 10} m

. If the interatomic force constant is

3.6 \times 10^{- 9} N {\overset{\circ}{A}}^{- 1}

, then the Young's modulus in

N m^{- 2}

will be

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IMPORTANT

Complete Study Pack for Engineering Entrances Objective Physics Vol 1>Chapter 12 - Elasticity>Objective Problems>Q 30

A force of

20 N

is applied at one end of a wire of length

2 m

and having area of cross-section

10^{- 2} {cm}^{2}

. The other end of the wire is rigidly fixed. Its coefficient of linear expansion of the wire is

α = 8 \times 10^{- 6} {}^{\circ}C^{- 1}

and Young's modulus

Y = 2.2 \times 10^{11} N m^{- 2}

and its temperature is increased by

5 ° C

, then the increase in the tension of the wire will be

A copper wire Y=1011 N m-2 of length 8 m and a steel wire Y=2×1011 N m-2 of length 4 m, each of 0.5 cm2 cross-section is fastened end to end and stretched with a tension of 500 N.

Important Questions on Elasticity

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A copper wire $(Y = 10^{11} N m^{- 2})$ of length $8 m$ and a steel wire $(Y = 2 \times 10^{11} N m^{- 2})$ of length $4 m$ , each of $0.5 {cm}^{2}$ cross-section is fastened end to end and stretched with a tension of $500 N$ .