The temperature of a wire of length 1 metre and area of cross-section 1cm2 is increased from 0°C to 100°C. If the rod is not allowed to increase in length, the force required will be α=10-5/°C and Y=1011N/m2

(a) 103N                     (b) 104N

(c) 105N                     (d) 109N

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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

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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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The length of a wire is 1.0 m and the area of cross-section is 1.0×10-2cm2. 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) 2.0×1010N/m2             (b) 4×1010N/m2

(c) 2.0×1011N/m2             (d) 2×1010N/m2

Concept Questions :-

Stress-strain
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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

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For silver, Young's modulus is 7.25×1010 N/m2 and Bulk modulus is 11×1010 N/m2. 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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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) l2                                    (d) l4 

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In steel, the Young's modulus and the strain at the breaking point are 2×1011Nm-2 and 0.15 respectively. The stress at the breaking point for steel is therefore -

(a) 1.33×1011Nm-2           (b) 1.33×1012Nm-2

(c) 7.5×10-13Nm-2           (d) 3×1010Nm-2

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Which one of the following substances possesses the highest elasticity

(a) Rubber                             (b) Glass

(c) Steel                               (d) Copper

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

(a) Stress                                      

(b) Strain

(c) Young's modulus of elasticity

(d) Pressure

Concept Questions :-

Stress-strain
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