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Questions  

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

a
14J
b
4 J
c
8 J
d
16 J

detailed solution

Correct option is D

W = 12F∆lW = 12×Yπr2∆ll∆l               Y = Flπr2∆lor W = Yπr2∆l22l               F = Yπr2∆llor W ∞ r2l, W' ∞ (2r)22lW'W = 8   or W' = 8×2 J = 16 J

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