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

MEDIUM

JEE Advanced

IMPORTANT

Earn 100

The bar shown in the figure is made of a single piece of material. It is fixed at one end. It consists of two segments of equal length $L / 2$ each but different cross-sectional area $A$ and $2 A .$ Find the ratio of total elongation in the bar to the elongation produced in thicker segment under the action of an axial force $F .$ Consider the shape of joint to remain circular. (Given: $Y$ is Young's modulus).

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Important Questions on Elasticity

MEDIUM

JEE Advanced

IMPORTANT

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

Two steel wires of same length but radii $r$ and $2 r$ are connected together end to end and tied to a wall as shown.

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The force stretches the combination by $10 mm .$ How far does the midpoint $A$ move (in $mm$ )?

HARD

JEE Advanced

IMPORTANT

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

0.05 m

cube has its upper face displaced by

0.2 cm

by a tangential force of

8 N .

Calculate the modulus of rigidity (in

\times 10^{4} {Nm}^{- 2}

) of the material of the cube.

HARD

JEE Advanced

IMPORTANT

Physics For Joint Entrance Examination JEE (Advanced): Mechanics II>Chapter 7 - Elasticity>Exercises>Q 6

Two parallel and opposite forces, each of magnitude

4000 N,

are applied tangentially to the upper and lower faces of a cubical metal block

25 cm

on a side. Find the displacement of the upper surface relative to the lower surface (in

\times 10^{- 5} cm

). The shear modulus for the metal is 80 GPa.

HARD

JEE Advanced

IMPORTANT

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

A metal cube of side

10 cm

is subjected to a shearing stress of

10^{6} N / m^{2} .

Calculate the modulus of rigidity (in

\times 10^{8} {Nm}^{- 2})

if the top of the cube is displaced by

0.05 cm

with respect to its bottom.

MEDIUM

JEE Advanced

IMPORTANT

Physics For Joint Entrance Examination JEE (Advanced): Mechanics II>Chapter 7 - Elasticity>Exercises>Q 8

Calculate the density of water near the bottom of the ocean where the pressure is about

501

atm and density of water is

1025 kg / m^{3}

approximately. Take bulk modulus of water (in

{kgm}^{- 3}

) as for water as

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

and

1

atm is

1000 kg / m^{3}

EASY

JEE Advanced

IMPORTANT

Physics For Joint Entrance Examination JEE (Advanced): Mechanics II>Chapter 7 - Elasticity>Exercises>Q 9

A hydraulic press contains

0.25 m^{3} (250 L)

of oil. Find the decrease in volume of the oil (in

%

) when it is subjected to a pressure increase

Δ p = 1.6 \times 10^{7} Pa .

The bulk modulus of the oil is

B = 5.0 \times 10^{9} Pa .

EASY

JEE Advanced

IMPORTANT

Physics For Joint Entrance Examination JEE (Advanced): Mechanics II>Chapter 7 - Elasticity>Exercises>Q 10

Compressibility of water is

5 \times 10^{- 10} m^{2} / N .

Find the decrease in volume (in

mL

) of

100 mL

of water when subjected to a pressure of

15 MPa .

EASY

JEE Advanced

IMPORTANT

Physics For Joint Entrance Examination JEE (Advanced): Mechanics II>Chapter 7 - Elasticity>Exercises>Q 11

The bulk modulus of rubber is

9.8 \times 10^{8} N m^{- 2}

. To what depth a rubber ball be taken in a lake so that its volume is decreased by

0.1 % ?

Important Questions on Elasticity

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