# Bulk Modulus

## Trending Questions

**Q.**The bulk modulus for an incompressible liquid is

- Zero
- Unity
- Infinity
- Between 0 and 1

**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 dynecm2 is

- 10×1012
- 100×1012
- 1×1012
- 20×1012

**Q.**The bulk modulus of a spherical object is B. If it is subjected to uniform pressure P, the fractional decrease in its radius is

- PB
- B3P
- 3PB
- P3B

**Q.**For a constant volumetric stress on an object, the fractional change in the object volume (ΔVV) and its bulk modulus (B) are related as

- ΔVV∝B
- ΔVV∝1B
- ΔVV∝B2
- ΔVV∝B−2

**Q.**The pressure of a medium is changed from 1.01× 105 Pa to 1.165× 105 Pa and change in volume is 10% keeping temperature constant. The bulk modulus of the medium is

- 204.8× 105Pa
- 102.4× 105 Pa
- 51.2× 105 Pa
- 1.55× 105 Pa

**Q.**Calculate the stress developed inside a tooth cavity filled with copper when hot tea at temperature of 57∘C is drunk. You can take body (tooth) temperature to be 37∘C and αCu=1.7×10−5/∘C, bulk modulus for copper KCu=140×109 N/m2

- 1.428×108 N/m2
- 42×106 N/m2
- 36×107 N/m2
- 4.28×106 N/m2

**Q.**Bulk modulus of an incompressible liquid is

- Zero
- Infinity
- Unity
- Between Zero & Unity

**Q.**

In a liquid with density 1300 kgm3, longitudinal waves with frequency 400 Hz are found to have wavelength 8.00 m. Calculate the bulk modulus of the liquid.

1.33 × 1010Nm2

3.33Nm2

3.33 × 1010Nm2

1.33Nm2

**Q.**The value of coefficient of volume expansion of glycerin is 5×10−4 K−1. The fractional change in the density of glycerin for a rise of 40∘C in its temperature is

- 0.01
- 0.015
- 0.02
- 0.025

**Q.**

The only elastic modulus that applies to fluids is

Young's modulus

Shear modulus

Modulus of rigidity

Bulk modulus

**Q.**When pressure of a gas (at 20∘C temperature) is changed from P1=1.01×105 Pa to P2=1.165×105 Pa, the volume changes by 10%. Then the bulk modulus of the gas is

- 1.55×105 Pa
- 0.155×105 Pa
- 1.4×105 Pa
- 1.01×105 Pa

**Q.**The bulk modulus of rubber is 9.8×108 N/m2. To what depth a rubber ball must be taken in a lake so that its volume is decreased by 0.1 %?

(Neglect atmospheric pressure)

- 25 m
- 100 m
- 200 m
- 500 m

**Q.**A spherical ball contracts in volume by 0.02% when subjected to a normal uniform pressure of 100 atm. The bulk modulus of its material is

- 2.02×1010 N/m2
- 1.01×1011 N/m2
- 5.05×1010 N/m2
- 1.01×1010 N/m2

**Q.**The average depth of Indian Ocean is about 3000 m. The fractional compression, ΔVVof water at the bottom of the ocean (given that the bulk modulus of the water =2.2×109Nm−2 and g=10 ms−2, assuming density of water remains constant) is

- 0.82%
- 0.91%
- 1.36%
- 1.52%

**Q.**Calculate the stress developed inside a tooth cavity filled with copper when hot tea at temperature of 57∘C is drunk. You can take body (tooth) temperature to be 37∘C and αCu=1.7×10−5/∘C, bulk modulus for copper KCu=140×109 N/m2

- 1.428×108 N/m2
- 42×106 N/m2
- 36×107 N/m2
- 4.28×106 N/m2

**Q.**Fractional change in the radius of a sphere of bulks modulus B, when it is compressed by pressure P from all sides is

- 4P3B
- 3PB
- PB
- P3B

**Q.**

Bulk modulus was first defined by

Young

Bulk

Maxwell

None of the above

**Q.**The speed of sound in a medium depends on

- the elastic property but not on the inertia property
- the inertia property but not on the elastic property
- the elastic property as well as the inertia property
- neither the elastic property nor the inertia property

**Q.**Fractional change in the radius of a sphere of bulks modulus B, when it is compressed by pressure P from all sides is

- 4P3B
- 3PB
- PB
- P3B

**Q.**

A solid sphere of radius 20 cm is subjected to a uniform pressure of 106 Nm−2. If the bulk modulus of the solid is 1.7×1011 Nm−2, the decrease in the volume of the solid is approximately equal to

0.2 cm3

0.3 cm3

0.4 cm3

0.5 cm3

**Q.**When pressure of a gas (at 20∘C temperature) is changed from P1=1.01×105 Pa to P2=1.165×105 Pa, the volume changes by 10%. Then the bulk modulus of the gas is

- 1.55×105 Pa
- 0.155×105 Pa
- 1.4×105 Pa
- 1.01×105 Pa

**Q.**A cube is compressed at 0∘ 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 α is the coefficient of linear expansion)

- pKα
- p3Kα
- 3παp
- K3p

**Q.**The displacement function S(x, t) of three sound waves 1, 2 and 3 at a certain time t as marked on the curves that travel along x−axis through air. If P1, P2 and P3 represent their pressure amplitudes respectively, then the correct relation between them is:

- P1>P2>P3
- P3>P2>P1
- P1=P2=P3
- P2>P3>P1

**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 1×103 kg/m3 and g=10 m/s2, then the volume elasticity in n/m2 will be

108

2×108

109

2×109

**Q.**

(a) In a liquid with density 1300 kg/m3, longitudinal waves with frequency 400Hz are found to have wavelength 4m. calculate the bulk modulus of the liquid.

(b) A metal bar with a length of 2m has density 6400 kg/m3. Longitudinal sound waves take 3.90×10−4s to travel from one end of the bar to the other. What is Young’s modulus for this metal?

- 33×109N/m2, 1.6×1011N/m2
- 33×106N/m2, 1.6×109N/m2
- 66×109N/m2, 3.2×1011N/m2
- 66×106N/m2, 3.2×109N/m2

**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/cm2 is

10×1012

100×1012

1×1012

20×1012

**Q.**The approximate depth of an ocean is 2700 m. The compressibility of water is 50×10−11 Pa−1 and density of water is 103 kg/m3. What fractional compression of water will be obtained at the bottom of the ocean?

- 1.5×10−2
- 1.35×10−2
- 1.2×10−2
- 1.0×10−3

**Q.**The bulk modulus of rubber is 9.8×108 N/m2. To what depth a rubber ball must be taken in a lake so that its volume is decreased by 0.1 %?

(Neglect atmospheric pressure)

- 25 m
- 100 m
- 200 m
- 500 m