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
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a
0.375 ×105 N
b
2 ×105N
c
6 ×105N
d
9 ×104 N
answer is A.
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Detailed Solution
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.