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

A uniform rod suspended from the ceiling gets elongated by its weight. Which one of the following graphs represents the variation of elongation with length, \(L\)?

1.		2.
3.		4.

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.  

The maximum load that a wire can bear is W. If the wire is cut to half of its length, then the maximum load it can sustain is:

1.  $\frac{\mathrm{W}}{4}$

2.  $\frac{\mathrm{W}}{3}$

3.  $\frac{\mathrm{W}}{2}$

4.  W

Two wires \(X\) and \(Y\) of the same length are made of the same material. The figure represents the load \(F\) versus extension \(\Delta x\) graph for the two wires. Hence:

When a helical spring is stretched, then the kind of strain produced in it is:

(1) Longitudinal

(2) shear

(3) Volumetric

(4) Longitudinal and Shear 

If stress versus strain plot for a metal at two different temperatures ${\mathrm{T}}_1 \mathrm{and} {\mathrm{T}}_2$ are shown below, then:

1.  ${\mathrm{T}}_1 > {\mathrm{T}}_2$

2.  ${\mathrm{T}}_1 < {\mathrm{T}}_2$

3.  ${\mathrm{T}}_1 = {\mathrm{T}}_2$

4.  ${\mathrm{T}}_1 = \frac{1}{{\mathrm{T}}_2}$

A metallic rope of diameter \(1~ \text{mm}\) breaks at \(10 ~\text{N}\) force. If the wire of the same material has a diameter of \(2~\text{mm},\) then the breaking force is:

In which of the following cases, an elastic metal rod will not undergo elongation?

(1) The rod falls freely.

(2) It is pulled with constant acceleration on a smooth surface.

(3) It is pulled with constant velocity on a rough surface.

(4) All of these

The ratio of Young's modulus of wire \(A\) to wire \(B\) is:

1. \(3:1\)
2. \(1:3\)
3. \(\sqrt{3}:1\)
4. \(1: \sqrt{3}\)