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If the work done in stretching a wire by...

If the work done in stretching a wire by 1 mm is 2J, then work necessary for stretching another wire of same material but with double radius of corss-section and half the length by 1 mm is

A

16 J

B

8 J

C

4 J

D

`(1)/(4)J`

Text Solution

Verified by Experts

The correct Answer is:
A
`w=(1)/(2)F Delta l=(1)/(2) (AY)/(L)(Delta l)^(2)`
`(w^(2))/(w_(1))=((R_(2))/(R_(1)))^(2) xx ((L_(1))/(L_(2)))`
`(w_(2))/(2)=4xx2=8`
`w_(2)=16J`
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Knowledge Check

  • If the work done in stretching a wire by 1 mm is 2 J. the work necessary for stretching another wire of same material but with double radius of cross-section and half the length by 1 mm is

    A
    16J
    B
    8J
    C
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  • If the work done in strectching a wire by 1mm is 2J , then work necessary for stretching another wire of same material but with double radius of cross -section and half of the length by 1 mm is

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    B
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    D
    (D) `32 J`

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    A
    4W
    B
    W
    C
    `(1)/(4)W`
    D
    `(1)/(2)W`

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