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

1.	\(1:16\)	2.	\(16:1\)
3.	\(1:64\)	4.	\(64:1\)

The force constant of a wire does not depend on

(1) Nature of the material                     

(2) Radius of the wire

(3) Length of the wire                           

(4) None of the above

The quality of the material which opposes the change in shape, volume or length is called

(1)   Intermolecular repulsion

(2)   Intermolecular behaviour

(3)   Viscosity

(4)   Elasticity

For silver, Young's modulus is $7.25\times {10}^{10} N/m^2$ and Bulk modulus is $11\times {10}^{10} N/m^2$. Its Poisson's ratio will be

1. -1                                     2. 0.5

3. 0.39                                  4. 0.25

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 same material but of length 2L and radius 2r is stretched with a force of 2F, the increase in its length will be

(a) l                                       (b) 2l

(c) $\frac{l}{2}$                                    (d) $\frac{l}{4}$ 

In steel, the Young's modulus and the strain at the breaking point are $2\times {10}^{11}N{m}^{-2}$ 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) $3\times {10}^{10}N{m}^{-2}$

Which one of the following substances possesses the highest elasticity:

(1) Rubber                             

(2) Glass

(3) Steel                               

(4) Copper

Which one of the following quantities does not have the unit of force per unit area?

1. Stress                                      

2. Strain

3. Young's modulus of elasticity

4. Pressure

A copper wire and a steel wire of the same diameter and length are connected end to end and a force is applied, which stretches their combined length by 1 cm. The two wires will have

(1)   Different stresses and strains

(2)   The same stress and strain

(3)   The same strain but different stresses

(4)   The same stress but different strains