A nylon rope 3 cm in diameter has a breaking strength of 1.5 X 105 N. The breaking strength of a similar rope 1.5 cm in diameter is

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0.75x105N

0.375x105N

3 x 105N

6x105N

answer is B.

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Detailed Solution

Breaking strength ∝ A∴ F1F2=A1A2=πr12πr22=r12r22=D12D22So, 1⋅5×105F2=(3)2(1⋅5)2=4F2=1⋅5×1054=0⋅375×105N

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