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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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

(a)   Different stresses and strains

(b)   The same stress and strain

(c)   The same strain but different stresses

(d)   The same stress but different strains

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Stress-strain
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The possible value of Poisson's ratio is

(a) 1                                        (b) 0.9

(c) 0.8                                      (d) 0.4

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Poisson ratio
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Which of the following affects the elasticity of a substance

(a) Hammering and annealing

(b) Change in temperature

(c) Impurity in substance

(d) All of these

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A wire of diameter 1mm  breaks under a tension of 1000 N. Another wire, of same material as that of the first one, but of diameter 2 mm breaks under a tension of

(a)   500 N                                (b)   1000 N

(c)   10000 N                            (d)   4000 N

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There is no change in the volume of a wire due to change in its length on stretching. The Poisson's ratio of the material of the wire is

(a)   + 0.50                                (b)   – 0.50

(c)   0.25                                   (d)   – 0.25

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The force required to stretch a steel wire of cross-section 1 cm2 to 1.1 times its length would be Y=2×1011 Nm-2

(a) 2×106N                               (b) 2×103N

(c) 2×10-6N                             (d) 2×10-7N

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