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A force F is needed to break a copperr w...

A force F is needed to break a copperr wire having radius R. the force needed to break a copper wire of radius 2 R will be

A

`F//2`

B

`2 F`

C

`4 F`

D

`F//4`

Text Solution

Verified by Experts

The correct Answer is:
C
`(F)/(A) = Y(Deltal)/(l)` If `Y` & `(Deltal)/(l)` are constant
`F = AY(Deltal)/(l) rArr F prop A, rArr F' = 4F`
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Knowledge Check

  • One end of a horizontal thick copper wire of length 2L and radius 2R is welded to an end fo another horizontal thin copper wire of lenth L and radius R. When the arrangement is stretched by applying forces at two ends, the ratio of the elongation in the thin wire to that in the thick wire is

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    B
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    C
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    D
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