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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

500N

B

250N

C

1000N

D

2000N

Text Solution

Verified by Experts

The correct Answer is:
D
The fracture point for a given material happens at a constant stress
Breaking stress `= (500N)/(pi (1cm)^(2)) = (T_("max"))/(pi (2cm)^(2))`
`rArr T_("max") =500N xx 4 =2000N`
`rArr` (d) is correct
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