What is the percentage increase in length of a wire of diameter 2.5 mm, stretched by a force of 100 kg wt? Young's modulus of elasticity of wire$=12.5\times {10}^{11} \mathrm{dyne}/{\mathrm{cm}}^2$

1. 0.16%

2. 0.32%

3. 0.08%

4. 0.12%

A rod of length l and radius r is held between two rigid walls so that it is not allowed to expand. If its temperature is increased, then the force developed in it is proportional to

1. l

2. $\frac{1}{\mathrm{l}}$

3. ${\mathrm{r}}^2$

4. ${\mathrm{r}}^{-2}$

A uniform cubical block is subjected to volumetric compression, which decreases its each side by 2%. The Bulk strain produced in it is

1. 0.03

2. 0.02

3. 0.06

4. 0.12

A material has Poisson's ratio 0.5. If a uniform rod of it suffers a longitudinal strain of $3\times {10}^{-3}$, what will be percentage increase in volume?

1. 2%

2. 3%

3. 5%

4. 0%

Hooke's law is applicable for:

When a load of 10 kg is suspended on a metallic wire, its length increase by 2mm. The force constant of the wire is

1. $3\times {10}^4 \mathrm{N}/\mathrm{m}$

2. $2.5\times {10}^3 \mathrm{N}/\mathrm{m}$

3. $5\times {10}^4 \mathrm{N}/\mathrm{m}$

4. $7.5\times {10}^3 \mathrm{N}/\mathrm{m}$

The figure shows the graph between stress and strain for a uniform wire at two different temperatures. Then:

1. ${\mathrm{T}}_1>{\mathrm{T}}_2$

2. ${\mathrm{T}}_2>{\mathrm{T}}_1$

3. ${\mathrm{T}}_1={\mathrm{T}}_2$

4. None of these

If two different types of rubber are found to have stress-strain curves as shown, then:
                   

The stress-strain graphs for two materials \(A\) and \(B\) are shown in the figure. The graphs are drawn to the same scale. Select the correct statement:

The load versus elongation graph for four wires of same length and the same material is shown in figure. The thinnest wire is represented by line:

1. OC

2. OD

3. OA

4. OB