Bulk Modulus

Q. A ball falling in a lake of depth 200 m shows 0.1% decrease in its volume at the bottom. What is the bulk modulus of the material of the ball

1. $=19.6\times {10}^{8}N/m^2$
2. $=19.6\times {10}^{10}N/m^2$
3. $=19.6\times {10}^{10}N/m^2$
4. $=19.6\times {10}^{-8}N/m^2$

Q.

When a pressure of 100 atmosphere is applied on a spherical ball, then its volume reduces to 0.01 %. the bulk modulus of the material of the rubber in $dynes/c{m}^2$ is

1. 

2. 

3. 

4. 

Q.

The isothermal bulk modulus of a gas at atmospheric pressure is

1. 

2. 

3. 

4. 

Q. A cube is compressed at $0^{\circ }C$ equally from all sides by an external pressure p. By what amount should the temperature be raised to bring it back to the size it had before the external pressure was applied? (Given K is bulk modulus of elasticity of the material of the cube and $\alpha$ is the coefficient of linear expansion)

1. 
2. 
3. 
4. 

Q.

If a rubber ball is taken at the depth of 200 m in a pool, its volume decreases by 0.1%. If the density of the water is $1\times {10}^{3}kg/m^3$ and $g=10m/s^2$, then the volume elasticity in $n/m^2$ will be

1. 

2. 

3. 

4. 

Q. The bulk modulus for an incompressible liquid is

1. unity
2. zero
3. between 0 and 1
4. Infinity

Q.

The adiabatic elasticity of a gas is equal to

1. 

2. 

3. 

4. 

Q. The pressure of a medium is changed from $1.01\times {10}^5$ Pa to $1.165\times {10}^5$ Pa and change in volume is 10% keeping temperature constant. The bulk modulus of the medium is

1. 204.8 X 10⁵ Pa
2. 102.4 X 10⁵ Pa
3. 51.2 X 10⁵ Pa
4. 1.55 X 10⁵Pa

Q. For a constant external pressure and volume, if more is the compressibility, __________

1. more is the deformation
2. less is the deformation
3. Can't comment

Q. A cube is compressed at $0^{\circ }C$ equally from all sides by an external pressure p. By what amount should the temperature be raised to bring it back to the size it had before the external pressure was applied? (Given K is bulk modulus of elasticity of the material of the cube and $\alpha$ is the coefficient of linear expansion)

1. 
2. 
3. 
4. 

Q.

The pressure of a medium Is changed from $1.01\times {10}^{5}Pa$ to $1.165\times {10}^{5}Pa$ and the change in volume is $10\%$ keeping the temperature constant. The bulk modulus of the medium Is______.

Q.

The isothermal elasticity of a gas is equal to

1. Specific heat

2. Density

3. Volume

4. Pressure

Q.

A solid sphere of radius 20 cm is subjected to a uniform pressure of ${10}^{6}N{m}^{-2}$. If the bulk modulus of the solid is $1.7\times {10}^{11}N{m}^{-2}$, the decrease in the volume of the solid is approximately equal to

1. $0.2c{m}^3$

2. $0.3c{m}^3$

3. $0.5c{m}^3$

4. $0.4c{m}^3$

Q.

A solid sphere of radius 20 cm is subjected to a uniform pressure of ${10}^{6}N{m}^{-2}$. If the bulk modulus of the solid is $1.7\times {10}^{11}N{m}^{-2}$, the decrease in the volume of the solid is approximately equal to

1. $0.2c{m}^3$

2. $0.3c{m}^3$

3. $0.5c{m}^3$

4. $0.4c{m}^3$