A steel wire is 1 m long and 1 mm² in area of cross section. If it takes 200 N to stretch this wire by 1 mm, how much force will be required to stretch a wire of the same material as well as diameter from its normal length of 10 m to a length of 1002 cm?

1. 1000 N

2. 200 N

3. 400 N

4. 2000 N

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. \(T_1>T_2\)
2. \(T_2>T_1\)
3. \(T_1=T_2\)
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:

1. material \(A\) has a greater Young's Modulus.
2. material \(A\) is ductile. 
3. material \(B\) is brittle.
4. all of these.