The dimensions of four wires of the same material are given below. In which wire the increase in length will be maximum when the same tension is applied?

Length 50 cm , diameter 0 . 5 mm

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IMPORTANT

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A thick rope of density $ρ$ and length $L$ is hung from a rigid support. The increase in length of the rope due to its own weight is $(Y$ is Young's modulus)

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Important Questions on Elasticity

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JEE Advanced

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Physics For Joint Entrance Examination JEE (Advanced): Mechanics II>Chapter 7 - Elasticity>Exercises>Q 46

In the figure shown, forces of equal magnitude are applied to the two ends of a uniform rod. Consider $A$ as the cross-sectional area of the rod. For this situation, mark out the incorrect statements.

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JEE Advanced

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Physics For Joint Entrance Examination JEE (Advanced): Mechanics II>Chapter 7 - Elasticity>Exercises>Q 47

The length of a steel cylinder is kept constant by applying pressure at its two ends. When the temperature of rod is increased by

100 ° C

from its initial temperature, the increase in pressure to be applied at its ends is

(Y_{steel} = 2 \times 10^{11} N m^{- 2}, α_{steel} = 11 \times 10^{- 6} {}^{\circ}C^{- 1}, 1 atm = 10^{5} N m^{- 2} .)

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JEE Advanced

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Physics For Joint Entrance Examination JEE (Advanced): Mechanics II>Chapter 7 - Elasticity>Exercises>Q 48

5 kg

rod of square cross section

5 cm

on a side and

1 m

long is pulled along a smooth horizontal surface by a force applied at one end. The rod has a constant acceleration of

2 {m s}^{- 2} .

Determine the elongation in the rod. (Young's modulus of the material of the rod is

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

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JEE Advanced

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Physics For Joint Entrance Examination JEE (Advanced): Mechanics II>Chapter 7 - Elasticity>Exercises>Q 49

The elastic limit of an elevator cable is

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

. The maximum upward acceleration that an elevator of mass

2 \times 10^{3} kg

can have when supported by a cable whose cross-sectional area is

10^{- 4} m^{2}

, provided the stress in cable would not exceed half of the elastic limit would be

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JEE Advanced

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Physics For Joint Entrance Examination JEE (Advanced): Mechanics II>Chapter 7 - Elasticity>Exercises>Q 51

A steel wire of length

4.7 m

and cross-sectional area

3.0 \times 10^{- 5} m^{2}

stretches by the same amount as a copper wire of length

3.5 m

and cross-sectional area

4.0 \times 10^{- 5} m^{2}

under a given load. What is the ratio of the Young's modulus of steel of that of copper?

EASY

JEE Advanced

IMPORTANT

Physics For Joint Entrance Examination JEE (Advanced): Mechanics II>Chapter 7 - Elasticity>Exercises>Q 52

The edges of an aluminium cube are

10 cm

long. One face of the cube is firmly fixed to a vertical wall. A mass of

100 kg

is then attached to the opposite face of the cube. Shear modulus of aluminium is

25 \times 10^{9} Pa

, the vertical deflection in the face to which mass is attached is

EASY

JEE Advanced

IMPORTANT

Physics For Joint Entrance Examination JEE (Advanced): Mechanics II>Chapter 7 - Elasticity>Exercises>Q 54

The density of water at the surface of ocean is

ρ

. If the bulk modulus of water is

B

, then the density of ocean water at depth, when the pressure is

α p_{0}

and

p_{0}

is the atmospheric pressure, is

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JEE Advanced

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Physics For Joint Entrance Examination JEE (Advanced): Mechanics II>Chapter 7 - Elasticity>Exercises>Q 55

A rubber of volume $2000 cc$ is alternately subjected to tension and released. The figure shows the stress-strain curve of rubber. Each curve is a quadrant of an ellipse. The amount of energy lost as heat per cycle per unit volume will be

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A thick rope of density ρ and length L is hung from a rigid support. The increase in length of the rope due to its own weight is (Y is Young's modulus)

Important Questions on Elasticity

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A thick rope of density $ρ$ and length $L$ is hung from a rigid support. The increase in length of the rope due to its own weight is $(Y$ is Young's modulus)