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A rope 1 cm in diameter breaks if the te...

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

A

2000N

B

1000N

C

500N

D

250N

Text Solution

Verified by Experts

The correct Answer is:
A
`(T_(1))/(A_(1))= (T_(2))/(A_(2))` (Stress is constant)
`rArr (500)/(pi (1//2)^(2))= (F)/(pi (1)^(2)) rArr F= 2000N`
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