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A wire of diameter 1mm breaks under a te...

A wire of diameter `1mm` breaks under a tension of 1000 N. Another wire, of same material as that of the first one, but of diameter `2mm` breaks under a tension of

A

500N

B

1000N

C

10000N

D

4000N

Text Solution

Verified by Experts

The correct Answer is:
D
Breaking force = Breaking stress `xx A`
`F prop d^(2)`
`rArr (F_(1))/(F_(2)) = ((1)/(2))^(2) rArr F_(2)= 4F_(1)= 4000N`
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