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A force F is needed to break a copper wi...

A force F is needed to break a copper wire having radius R. The force needed to break a copper wire of same length and radius 2R 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

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

    A
    `F/2`
    B
    2F
    C
    4F
    D
    `F/4`

  • A wire can be broken by applying a load of 15 kg wt. The force required to break the wire of the same length and material but of twice the diameter of the wire will be

    A
    30 kg wt.
    B
    45 kg wt.
    C
    60 kg wt.
    D
    80 kg wt.

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    A
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    B
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    C
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    D
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