The young's modulus of a wire of length 'L' and radius 'r' is 'Y'. If length is reduced to L/2 and radius r/2 then young's modulus will be:

1. Y/2

2. Y

3. 2Y

4. 4Y

Three wires A,B,C made of the same material and radius have different lengths. The graphs in the figure show the elongation-load variation. The longest wire is 

1. A

2. B

3. C

4. All

If Young modulus (Y) equal to bulk modulus (B). Then the Poisson ratio is :

1. $\frac{1}{3}$

2. $\frac{2}{3}$

3. $\frac{1}{2}$

4. $\frac{1}{4}$

Two wires of copper having the length in the ratio \(4:1\) and their radii ratio as \(1:4\) are stretched by the same force. The ratio of longitudinal strain in the two wires will be:
1. \(1:16\)
2. \(16:1\)
3. \(1:64\)
4. \(64:1\)

A wire of length L and radius r is rigidly fixed at one end. On stretching the other end of the wire with a force F, the increase in its length is l. If another wire of the same material but of length 2L and radius 2r is stretched with a force of 2F, the increase in its length will be

1. l                                       

2. 2l

3. $\frac{l}{2}$                                   

4. $\frac{l}{4}$ 

In steel, Young's modulus and the strain at the breaking point are $2\times {10}^{11} {\mathrm{Nm}}^{-2}$ and 0.15 respectively. The stress at the breaking point for steel is, therefore:

1. $1.33\times {10}^{11}N{m}^{-2}$           

2. $1.33\times {10}^{12}N{m}^{-2}$

3. $7.5\times {10}^{-13}N{m}^{-2}$           

4. $3\times {10}^{10}N{m}^{-2}$

The possible value of Poisson's ratio is

1. 1                                       

2. 0.9

3. 0.8                                     

4. 0.4

When a weight of 10 kg is suspended from a copper wire of length 3 metres and diameter 0.4 mm, its length increases by 2.4 cm. If the diameter of the wire is doubled, then the extension in its length will be

1. 9.6 cm                               

2. 4.8 cm

3. 1.2 cm                              

4. 0.6 cm

A fixed volume of iron is drawn into a wire of length L. The extension x produced in this wire by a constant force F is proportional to

1. $\frac{1}{L^2}$                                             

2. $\frac{1}{L}$

3. $L^2$                                               

4. L

The length of an elastic string is \(a\) metre when the longitudinal tension is \(4\) N and \(b\) metre when the longitudinal tension is \(5\) N. The length of the string in metre when the longitudinal tension is \(9\) N will be: