Given that the breaking stress of a wire is 7.2 x ${10}^7$ N/ ${\mathrm{m}}^2$ and its density is 7.2 g/cc, then the maximum length of the wire which can hang without breaking is: (g = 10 m/${\mathrm{s}}^2$)

(1) 1000 m

(2) 100 m

(3) 200 m

(4) 50 m

If the pressure of a gas is increased from 1.04 x ${10}^5$ Pa to 1.045 x ${10}^5$ Pa and volume is decreased by 5% at a constant temperature, then the Bulk modulus of the gas is:

(1) 1.0425 x ${10}^5$ Pa

(2) 1.045 x ${10}^5$ Pa

(3) ${10}^4$ Pa

(4) 2.5 x ${10}^4$ Pa

The stress-strain curve for two materials \(A\) and \(B\) are as shown in the figure. Select the correct statement:

Select the incorrect statement about Bulk modulus of elasticity.

(1) It is defined for solids, liquids and gases.

(2) ${\mathrm{B}}_{\mathrm{solid}}<mspace\; width="1em"></mspace>><mspace\; width="1em"></mspace>{\mathrm{B}}_{\mathrm{liquid}}<mspace\; width="1em"></mspace>><mspace\; width="1em"></mspace>{\mathrm{B}}_{\mathrm{gas}}$

(3) The bulk modulus of gas is different for different processes.

(4) Almost for all materials, the Bulk modulus increases with the rise in temperature.

The figure below shows the stress-strain curve for two bodies A and B.

Choose the correct option.

(1) A is having greater elasticity than B.

(2) B is having a greater elasticity than A.

(3) Both A and B have the same elasticity.

(4) A and B both show plasticity.

When a load of 1 kg is hung from the wire, then the extension of 2 mm is produced. Then work done by restoring force is:

(1) 200 mJ

(2) 400 mJ

(3) 10 mJ

(4) 20 mJ

Stress vs strain graphs for two different wires \(A\) and \(B\) are given. If \(Y_A\) and \(Y_B\) are Young's moduli of the materials, then:
                  
1. \(Y_{A}=\sqrt{3} Y_{B} \)
2. \( \sqrt{3} Y_{A}=Y_{B} \)
3. \(Y_{A}=3 Y_{B} \)
4. \( 3 Y_{A}=Y_{B} \)

Hooke's Law is obeyed within:

(1) Elastic limit

(2) Proportionality limit

(3) Breaking point

(4) Freezing point

Elongation in the wire of length L and Young's modulus of Y when blocks of weight W each are hung as shown below-

1.  $\frac{\mathrm{WL}}{\mathrm{AY}}$

2.  $\frac{2\mathrm{WL}}{\mathrm{AY}}$

3.  $\frac{\mathrm{WL}}{2\mathrm{AY}}$

4.  $\frac{1}{4}\left(\frac{\mathrm{WL}}{\mathrm{AY}}\right)$

The diagrams represent the potential energy U as a function of interatomic separation r. Which of the following diagrams corresponds to stable molecules found in nature?

1.  

2.  

3.  

4.