The Poisson's ratio of a material is $0.4.$ If a force is applied to a wire of this material, there is a decrease in the cross-section area by $2$%. In such a case the percentage increase in its length will be:

For a given material, Young's modulus is 2.4 times the modulus of rigidity. Its Poisson's ratio is-

1. 0.1

2. 0.15

3. 0.2

4. 0.4

Given below are two statements: 

Given below are two statements: 

Given below are two statements: 

The ratio of Young's modulus of wire $A$ to wire $B$ is:

1. $3:1$
2. $1:3$
3. $\sqrt{3}:1$
4. $1: \sqrt{3}$

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

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:

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