Why the spring is made up of steel in comparison of copper

(a)   Copper is more costly than steel

(b)   Copper is more elastic than steel

(c)   Steel is more elastic than copper

(d)   None of the above

Difficulty Level:

Steel and copper wires of same length are stretched by the same weight one after the other. Young's modulus of steel and copper are  The ratio of increase in length

(a) $\frac{2}{5}$                                 (b) $\frac{3}{5}$

(c) $\frac{5}{4}$                                 (d) $\frac{5}{2}$

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Difficulty Level:

The temperature of a wire of length 1 metre and area of cross-section $1c{m}^{2}$ is increased from 0°C to 100°C. If the rod is not allowed to increase in length, the force required will be

(a) ${10}^{3}N$                     (b) ${10}^{4}N$

(c) ${10}^{5}N$                     (d) ${10}^{9}N$

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Difficulty Level:

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 will be

(a) 1 : 16                                             (b) 16 : 1

(c) 1 : 64                                             (d) 64 : 1

Concept Questions :-

Hooke's law
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Difficulty Level:

The force constant of a wire does not depend on

(a) Nature of the material                      (b) Radius of the wire

(c) Length of the wire                           (d) None of the above

Concept Questions :-

Stress-strain
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Difficulty Level:

The length of a wire is 1.0 m and the area of cross-section is $1.0×{10}^{-2}c{m}^{2}$. If the work done for increase in length by 0.2 cm is 0.4 joule, then Young's modulus of the material of the wire is

(a) $2.0×{10}^{10}N/{m}^{2}$             (b) $4×{10}^{10}N/{m}^{2}$

(c) $2.0×{10}^{11}N/{m}^{2}$             (d) $2×{10}^{10}N/{m}^{2}$

Concept Questions :-

Stress-strain
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Difficulty Level:

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

(a)   Intermolecular repulsion

(b)   Intermolecular behaviour

(c)   Viscosity

(d)   Elasticity

Concept Questions :-

Elasticity

Difficulty Level:

For silver, Young's modulus is  and Bulk modulus is . Its Poisson's ratio will be

1. -1                                     2. 0.5

3. 0.39                                  4. 0.25

Concept Questions :-

Poisson ratio
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Difficulty Level:

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) $\frac{l}{4}$

Concept Questions :-

Hooke's law
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Difficulty Level:

In steel, the Young's modulus and the strain at the breaking point are $2×{10}^{11}N{m}^{-2}$ and 0.15 respectively. The stress at the breaking point for steel is therefore -

(a) $1.33×{10}^{11}N{m}^{-2}$           (b) $1.33×{10}^{12}N{m}^{-2}$

(c) $7.5×{10}^{-13}N{m}^{-2}$           (d) $3×{10}^{10}N{m}^{-2}$

Concept Questions :-

Hooke's law