Mechanical Properties of Solids Questions and Answers Part-14

1.A uniform cube is subjected to volume compression. If each side is decreased by 1%, then bulk strain is
a) 0.01
b) 0.06
c) 0.02
d) 0.03

Explanation:

2. 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
a) $19.6\times 10^{8}N\diagup m^{2}$
b) $19.6\times 10^{-10}N\diagup m^{2}$
c) $19.6\times 10^{10}N\diagup m^{2}$
d) $19.6\times 10^{-8}N\diagup m^{2}$

Explanation:

3.The isothermal bulk modulus of a gas at atmospheric pressure is
a) 1 mm of Hg
b) 13.6mm of Hg
c) $1.013\times 10^{5}N\diagup m^{2}$
d) $2.026\times 10^{5}N\diagup m^{2}$

Explanation:

4.Coefficient of isothermal elasticity $E_{\theta}$ and coefficient of adiabatic elasticity $E_{\phi}$ are related by$\left(\gamma=C_{p}\diagup C_{v}\right)$
a) $E_{\theta}=\gamma E_{\phi}$
b) $E_{\phi}=\gamma E_{\theta}$
c) $E_{\theta}=\gamma \diagup E_{\phi}$
d) $E_{\theta}=\gamma^{2} E_{\phi}$

Explanation: $E_{\phi}=\gamma E_{\theta}$

5. The bulk modulus of an ideal gas at constant temperature
a) Is equal to its volume V
b) Is equal to p/2
c) Is equal to its pressure p
d) Can not be determined

Explanation: Isothermal bulk modulus = Pressure of gas

6. The Bulk modulus for an incompressible liquid is
a) Zero
b) Unity
c) Infinity
d) Between 0 to 1

Explanation: Infinity

7. The pressure applied from all directions on a cube is P. How much its temperature should be raised to maintain the original volume ? The volume elasticity of the cube is $\beta$ and the coefficient of volume expansion is $\alpha$
a) $\frac{P}{\alpha\beta}$
b) $\frac{P\alpha}{\beta}$
c) $\frac{P\beta}{\alpha}$
d) $\frac{\alpha\beta}P{}$

Explanation:

8. 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
a) $204.8\times 10^{5}Pa$
b) $102.4\times 10^{5}Pa$
c) $51.2\times 10^{5}Pa$
d) $1.55\times 10^{5}Pa$

Explanation:

9. Modulus of rigidity of diamond is
a) Too less
b) Greater than all matters
c) Less than all matters
d) Zero