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. $3\times {10}^4<mspace\; width="1em"></mspace>\mathrm{N}/\mathrm{m}$

2. $2.5\times {10}^3<mspace\; width="1em"></mspace>\mathrm{N}/\mathrm{m}$

3. $5\times {10}^4<mspace\; width="1em"></mspace>\mathrm{N}/\mathrm{m}$

4. $7.5\times {10}^3<mspace\; width="1em"></mspace>\mathrm{N}/\mathrm{m}$

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:

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

In the given figure, if the dimensions of the two wires are the same but materials are different, then Young's modulus is

1. More for A than B

2. More for B than A

3. Equal for A and B

4. None of these

The length of wire, when M₁ is hung from it, is l₁ and is l₂ with both M₁ and M₂ hanging. The natural length of wire is

1. $\frac{{\mathrm{M}}_1}{{\mathrm{M}}_2}({\mathrm{l}}_1-{\mathrm{l}}_2)+{\mathrm{l}}_1$

2. $\frac{{\mathrm{M}}_2{\mathrm{l}}_1-{\mathrm{M}}_1{\mathrm{l}}_2}{{\mathrm{M}}_1+{\mathrm{M}}_2}$

3. $\frac{{\mathrm{l}}_1+{\mathrm{l}}_2}{2}$

4. $\sqrt{{\mathrm{l}}_1{\mathrm{l}}_2}$

The substances having very short plastic region are

1. Ductile

2. Brittle

3. Malleable

4. All of these

Due to the addition of impurities, the modulus of elasticity:

1. Decreases

2. Increases

3. Remains constant

4. May increase or decrease

A load of 2 kg produces an extension of 1 mm in a wire of 3 m in length and 1 mm in diameter. The Young's Modulus of wire will be

1. $3.25\times {10}^{10}<mspace\; width="1em"></mspace>{\mathrm{Nm}}^{-2}$

2. $7.48\times {10}^{12}<mspace\; width="1em"></mspace>{\mathrm{Nm}}^2$

3. $7.48\times {10}^{10}<mspace\; width="1em"></mspace>{\mathrm{Nm}}^{-2}$

4. $7.48\times {10}^{-10}<mspace\; width="1em"></mspace>{\mathrm{Nm}}^{-2}$