Q.

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.
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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