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A nylon rope 2 cm in diameter has a breaking strength of 1.5×105 N. The breaking strength of a similar rope 1 cm in diameter is

a
0.375 ×105 N
b
2 ×105N
c
6 ×105N
d
9 ×104 N

detailed solution

Correct option is A

Breaking strength - Breaking stress × πD24 Breaking stress is unchanged. D is halved. So, breaking strength becomes one-fourth, i.e.,14 ×1.5×105N      or     0.375×105N.

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