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A rope 1 cm in diameter breaks if the tension in it exceeds 500 N. The maximum tension that may be given to a similar rope of diameter 2 cm is(a) 500 N(b) 250 N(c) 1000 N(d) 2000 N. |
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Answer» The correct answer is (d) 2000 N. Explanation: The wire breaks when the maximum permissible stress in the cross-section of the wire is attained. Here 500 N gives maximum permissible stress to a 1 cm diameter wire. Since the area of the cross-section of a 2 cm diameter wire will be four times that of the 1 cm diameter wire, its load carrying capacity will also be four times, i.e. 4*500 N =2000 N. |
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