The bulk modulus of elasticity of a liquid

If the modulus of elasticity for a given material is twice its modulus of rigidity, then bulk modulus is equal to

A

2C

B

3C

C

$$\frac{{2{\text{C}}}}{3}$$

D

$$\frac{{3{\text{C}}}}{2}$$

The relation between Young's modulus (E), shear modulus (C) and bulk modulus (K) is given by

A

$${\text{E}} = \frac{{3{\text{KC}}}}{{3{\text{K}} + {\text{C}}}}$$

B

$${\text{E}} = \frac{{6{\text{KC}}}}{{3{\text{K}} + {\text{C}}}}$$

C

$${\text{E}} = \frac{{9{\text{KC}}}}{{3{\text{K}} + {\text{C}}}}$$

D

$${\text{E}} = \frac{{12{\text{KC}}}}{{3{\text{K}} + {\text{C}}}}$$

The unit of bulk modulus of elasticity for a liquid in S.I. unit is

A

N

B

N/m

C

N/m²

D

N/m³

The relation between Young's modulus (E) and bulk modulus (K) is given by

A

$${\text{K}} = \frac{{3{\text{m}} - 2}}{{{\text{mE}}}}$$

B

$${\text{K}} = \frac{{{\text{mE}}}}{{3{\text{m}} - 2}}$$

C

$${\text{K}} = \frac{{3\left( {{\text{m}} - 2} \right)}}{{{\text{mE}}}}$$

D

$${\text{K}} = \frac{{{\text{mE}}}}{{3\left( {{\text{m}} - 2} \right)}}$$

For an incompressible fluid, the bulk modulus of elasticity is

A

5 kg/m³

B

$$\infty $$ N/m²

C

1 N

D

0 N/m

The bulk modulus of elasticity

A

Has the dimensions of 1/pressure

B

Increases with pressure

C

Is large when fluid is more compressible

D

Is independent of pressure and viscosity

The bulk modulus of elasticity with increase in pressure

A

Increases

B

Decreases

C

Remain constant

D

Increases first up to certain limit and then decreases

The dimensional formula of bulk modulus of elasticity is same as that of the

A

Pressure

B

Density

C

Force

D

None of these

Which of the following relationships is correct for relating the three elastic constants of an isotropic elastic material (where, E = Young's modulus, G = Modulus of rigidity or shear modulus v = Poisson's ratio)?

A

E = 2G (1 + v)

B

E = G (1 + v)

C

$${\text{E}} = \frac{{{\text{G}}\left( {1 + {\text{v}}} \right)}}{2}$$

D

E = 2G (1 + 2v)

The ratio of shear modulus to the modulus of elasticity for a poisson's ratio of 0.4 will be

A

14/5

B

7/5

C

5/14

D

5/7

The bulk modulus of elasticity of a liquid

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