The Mariana trench is located in the Pacific Ocean, and at one place it is nearly eleven km beneath the surface of water. The water pressure at the bottom of the Trench is about 1 .1 × 10 8 Pa . A steel ball of initial volume 0 .32 m 3 is dropped into the ocean and it falls to the bottom of the trench. What is the change in the volume of the ball when it reaches to the bottom?

Water pressure at the bottom, p = 1 .1 × 10 8 Pa Initial volume of the steel ball, V = 0 .32 m 3 Bulk modulus of steel, B=1.6×10 11 Nm - 2 The ball falls at the bottom of the Pacific Ocean, which is 11 km beneath the surface. Let the change in the volume of the ball on reaching the bottom of the trench be ∆ V . B = p ∆ V V Δ V = p V B = 1.1 × 10 8 × 0.32 1.6 × 10 11 = 2 .2 × 10 - 4 m 3 Therefore, the change in volume of the ball on reaching the bottom of the trench is 2 .2 × 10 - 4 m 3

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

EASY

JEE Advanced

IMPORTANT

Earn 100

Modulus of rigidity of ideal liquid is

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Important Questions on Elasticity

MEDIUM

JEE Advanced

IMPORTANT

Physics For Joint Entrance Examination JEE (Advanced): Mechanics II>Chapter 7 - Elasticity>CONCEPT APPLICATION EXERCISE>Q 3

The Mariana trench is located in the Pacific Ocean, and at one place it is nearly eleven km beneath the surface of water. The water pressure at the bottom of the Trench is about

1 .1 \times 10^{8} Pa

. A steel ball of initial volume

0 .32 m^{3}

is dropped into the ocean and it falls to the bottom of the trench. What is the change in the volume of the ball when it reaches to the bottom?

MEDIUM

JEE Advanced

IMPORTANT

Physics For Joint Entrance Examination JEE (Advanced): Mechanics II>Chapter 7 - Elasticity>CONCEPT APPLICATION EXERCISE>Q 4

Two strips of metal are riveted together at their ends by four rivets, each of diameter

6 .0 mm

. What is the maximum tension that can be exerted by the riveted strip if the shearing stress on the rivet is not to exceed

6 .9 \times 10^{7} Pa

? Assume that each rivet is to carry one quarter of the load.

MEDIUM

JEE Advanced

IMPORTANT

Physics For Joint Entrance Examination JEE (Advanced): Mechanics II>Chapter 7 - Elasticity>CONCEPT APPLICATION EXERCISE>Q 5

An India rubber cube of side

7 cm

has one side fixed while a tangential force equal to weight of

200 kg

is applied to the opposite face. Find the shear strain produced and the distance through which the strained side moves. Modulus of rigidity for rubber is

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

MEDIUM

JEE Advanced

IMPORTANT

Physics For Joint Entrance Examination JEE (Advanced): Mechanics II>Chapter 7 - Elasticity>CONCEPT APPLICATION EXERCISE>Q 1

Assuming Young's modulus of aluminium to be

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

, find energy stored in an aluminium rod of cross-section

10^{- 4} m^{2}

and

0.1 m

long when compressed by a load of

10 kg

EASY

JEE Advanced

IMPORTANT

Physics For Joint Entrance Examination JEE (Advanced): Mechanics II>Chapter 7 - Elasticity>CONCEPT APPLICATION EXERCISE>Q 2

The work done it stretching a wire by

0.1 mm

4 J

. find the work done in stretching another wire of same material, but with double the radius and half the length by

0.1 mm

in joules.

EASY

JEE Advanced

IMPORTANT

Physics For Joint Entrance Examination JEE (Advanced): Mechanics II>Chapter 7 - Elasticity>CONCEPT APPLICATION EXERCISE>Q 3

A block of mass

M

is suspended from a wire of length

L

, area of cross section

A

and young’s modulus

Y

. Find the elastic potential energy stored in the wire.

MEDIUM

JEE Advanced

IMPORTANT

Physics For Joint Entrance Examination JEE (Advanced): Mechanics II>Chapter 7 - Elasticity>CONCEPT APPLICATION EXERCISE>Q 4

40 kg

boy whose leg bones are

4 {cm}^{2}

in area and

50 cm

long falls through a height of

2 m

without breaking his leg bones. If the bones can stand a stress of

0.9 \times 10^{8} N / m^{2}

, calculate (i)

Y

for the material of the bone and (ii)

k

(force constant).

EASY

JEE Advanced

IMPORTANT

Physics For Joint Entrance Examination JEE (Advanced): Mechanics II>Chapter 7 - Elasticity>CONCEPT APPLICATION EXERCISE>Q 5

Identical springs of steel and copper are stretches by equal lengths. On which is more work done?

Modulus of rigidity of ideal liquid is

Important Questions on Elasticity

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