Bulk Modulus

Q.

The adiabatic elasticity of a gas is equal to

1. 

2. 

3. 

4. 

Q. 60.When a certain volume of water is subjected to 100 kPa pressure, the volume of water decreases by 0.005%.The speed of sound in water must be

Q.

If the volume of the given mass of a gas is increased four times, the temperature is raised from ${27}^{o}C$ to ${127}^{o}C$. The elasticity will become

1. 4 times

2. 1/4 times

3. 3 times

4. 1/3 times

Q. Compute the bulk modulus of water from the following data: Initial volume = 100.0 litre, Pressure increase = 100.0 atm (1 atm = 1.013 × 10⁵ Pa), Final volume = 100.5 litre. Compare the bulk modulus of water with that of air (at constant temperature). Explain in simple terms why the ratio is so large.

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

1. 
2. 
3. 
4. 

Q.

The isothermal elasticity of a gas is equal to

1. Volume

2. Pressure

3. Specific heat

4. Density

Q. A 6kg weight is attached to a spring. It is pulled down and then released. It oscillates up and down. Its KE will be a) maximum in the middle of the movement. b) maximum at the bottom c) maximum just before it is released d) cons†an t

Q. 123.The velocity of sound in hydrogen at zero degree celsius is 1200 metre per second .when some amount of oxygen is mixed with hydrogen the velocity decreases to 500 m per second .then the ratio of hydrogen to oxygen i.e.(x/y) by volume in this mixture, given that the density of oxygen is 16 times that of hydrogen 1)x/y=2.2. 2)x/y=4. 3)x/y=3.2. 4)x/y=1.2

Q.

The modulus of elasticity of steel is greater than that of rubber because under the same stress

1. the strain in steel is less than rubber

2. the strain in steel is more than rubber

3. elongation in steel is more than in rubber

4. none of the above

Q. The reciprocal of the bulk modulus is called
(a) modulus of rigidity
(b) volume strain
(c) volume stress
(d) compressibility

Q. what is the bulk modulus of a perfectly rigid body?

Q. For a sound wave travelling towards +x direction, sinusoidal longitudinal displacement $\xi$ at a certain time is given as a function of x(Figure). If bulk modulus of air is $B=5\times {10}^{5}N/m^2$, the variation of pressure excess will be

1. 
2. 
3. 
4. 

Q. A block of mass m falls from height h on a massless spring of stiffness constant k. Find the maximum compression in the spring?

Q.

The ratio of the adiabatic to isothermal elasticities of a triatomic gas is

1. $\frac{3}{4}$

2. $\frac{4}{3}$

3. 1

4. $\frac{5}{3}$

Q. a carpet of mass m, made of an inextensible material, is rolled along its length in the form of a cylinder of radius R and kept on a rough floor.if the carpet is unrolled, without sliding, to a radius R/4 , then decrease in P.E. is

Q. Does raincoat increase angle of contact ? If yes then how come it increases surface tension and prevents penetration of water?

Q. What is modulus of elasticity? Write its SI units.mention the two factors on which it depends.

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. $10\times {10}^{12}$

2. $100\times {10}^{12}$

3. $1\times {10}^{12}$

4. $20\times {10}^{12}$

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. $204.8\times {10}^5$Pa
2. $102.4\times {10}^5$ Pa
3. $51.2\times {10}^5$ Pa
4. $1.55\times {10}^5$ Pa

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

1. $10\times {10}^{12}$
2. $100\times {10}^{12}$
3. $1\times {10}^{12}$
4. $20\times {10}^{12}$

Q. Solve this:

Q47. Check by the method of dimensional analysis whether the following relation is correct.

v = $\sqrt{\frac{\mathrm{P}}{\mathrm{D}}}$ where v = velocity of sound and

p = pressure, D = density of medium.

Q.

When a metal rod is heated and then prevented from contracting as it cools, a considerable force is exerted at the ends of the rod, this can be found using

1. 

2. 

3. 

4. 

Q. a carpet of mass m, made of an inextensible material, is rolled along its length in the form of a cylinder of radius R and kept on a rough floor.if the carpet is unrolled, without sliding, to a radius R/4 , then decrease in P.E. is

Q.

In a liquid with density $1300\frac{kg}{m^3}$, longitudinal waves with frequency 400 Hz are found to have wavelength 8.00 m. Calculate the bulk modulus of the liquid.

1. $1.33\times {10}^{10}\frac{N}{m^2}$

2. $3.33\frac{N}{m^2}$

3. $3.33\times {10}^{10}\frac{N}{m^2}$

4. $1.33\frac{N}{m^2}$

Q. The bulk modulus and the density of water are greater than those of air. With this much of information, we can say that velocity of sound in air
(a) is larger than its value in water
(b) is smaller than its value in water
(c) is equal to its value in water
(d) cannot be compared with its value in water.

Q.

If the volume of the given mass of a gas is increased four times, the temperature is raised from ${27}^{o}C$ to ${127}^{o}C$. The elasticity will become

1. 4 times

2. $\frac{1}{4}$ times

3. 3 times

4. $\frac{1}{3}$ times

Q. The bulk modulus of a sphere is ${}^{\prime }{K}^{\prime }$. If it is subjected to uniform pressure ${}^{\prime }{p}^{\prime }$ then fractional decrease in its radius is

1. $\frac{K}{3p}$
2. $\frac{3p}{K}$
3. $\frac{p}{3K}$
4. $\frac{p}{K}$

Q. A solid sphere of radius $R$ is surrounded by a liquid in a cylindrical container. A massless piston of area $A$ floats on the surface of the liquid. Find the value of bulk modulus, if the fractional decrease in the radius of the sphere is $\kappa$ when a mass $M$ is placed on the piston to compress the liquid. [Neglect the pressure variation between the piston and sphere and consider $\kappa$ as positive]

1. $\frac{Mg}{3A\kappa }$
2. $\frac{3Mg}{A\kappa }$
3. $\frac{2Mg}{3A\kappa }$
4. $\frac{3Mg}{2A\kappa }$

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. $\frac{p}{K\alpha }$
2. $\frac{p}{3K\alpha }$
3. $\frac{3\pi \alpha }{p}$
4. $\frac{K}{3p}$

Q.

What is the bulk modulus of perfectly rigid body?