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Two wires of the same material (Young's modulus $= Y$ ) 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 is

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Important Questions on Elasticity

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Complete Study Pack for Engineering Entrances Objective Physics Vol 1>Chapter 12 - Elasticity>Objective Problems>Q 18

A uniform elastic plank moves due to a constant force

F

placed over a smooth surface. The area of end face is

S

and Young's modulus of the material is

E

. What is the average strain produced in the direction of the force?

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Complete Study Pack for Engineering Entrances Objective Physics Vol 1>Chapter 12 - Elasticity>Objective Problems>Q 19

What is the approximate change in the density of water in a lake at a depth of

400 m

below the surface? The density of water at the surface is

1030 kg m^{- 3}

and bulk modulus of water is

2 \times 10^{9} N m^{- 2}

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Complete Study Pack for Engineering Entrances Objective Physics Vol 1>Chapter 12 - Elasticity>Objective Problems>Q 20

A wire is elongated by

2 mm

when a brick is suspended from it. When the brick is immersed in water, the wire contracts by

0.6 mm

. What is the density of brick?

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Complete Study Pack for Engineering Entrances Objective Physics Vol 1>Chapter 12 - Elasticity>Objective Problems>Q 21

A load suspended by a massless spring produces an extension of

x cm

in equilibrium. When it is cut into two unequal parts, the same load produces an extension of

7.5 cm

when suspended by the larger part of length

60 cm

. When it is suspended by the smaller part, the extension is

5.0 cm

. Then,

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Complete Study Pack for Engineering Entrances Objective Physics Vol 1>Chapter 12 - Elasticity>Objective Problems>Q 22

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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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?

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JEE Main

IMPORTANT

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

)

Two wires of the same material (Young's modulus =Y) and same length L but radii R and 2R 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 is

Important Questions on Elasticity

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Two wires of the same material (Young's modulus $= Y$ ) 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 is