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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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

(a) 9.6 cm                               (b) 4.8 cm

(c) 1.2 cm                               (d) 0.6 cm

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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

(a) 1L2                                              (b) 1L

(c) L2                                                (d) L

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On applying a stress of 20×108 N/m2 the length of a perfectly elastic wire is doubled. Its Young’s modulus will be

(a) 40×108N/m2                         (b) 20×108N/m2

(c) 10×108N/m2                         (d) 5×108N/m2

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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 is

(a) a - b                                             (b) 5b - 4a

(c) 2b -14a                                        (d) 4a - 3b

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How much force is required to produce an increase of 0.2% in the length of a brass wire of diameter 0.6 mm ?

(Young’s modulus for brass = 0.9×1011N/m2)

(a) Nearly 17 N                        (b) Nearly 34 N

(c) Nearly 51                        (d) Nearly 68 N

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A 5 m long aluminium wire Y=7×1010N/m2 of diameter 3 mm supports a 40 kg mass. In order to have the same elongation in a copper wire Y=12×1010N/m2 of the same length under the same weight, the diameter should now be, in mm

(a)   1.75                                   (b)   1.5

(c)   2.5                                     (d)   5.0

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