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Q.

A rope 1cm in diameter breaks if the tension in it exceeds 500N. The maximum tension that may be given to a similar rope of diameter 2cm is (as a multiple of 500 N)

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answer is 4.

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Detailed Solution

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Breaking strength = same

F1A1=F2A2

F1πr12=F2πr22

F2=F1r2r12=F12r1r12

=4F1

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