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Q.

Two wires of the same material and length but diameters in the ratio 1:2 are stretched by the same force. The potential energy per unit volume for the two wires when stretched will be in the ratio

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a

16:1

b

4:1

c

2:1

d

1:1

answer is A.

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Detailed Solution

Energy density =12× Stress × Strain                            =12× Stress × Stress Y=( Stress )22Y∝1D4 Now,  uAuB=DB4DA4=[2]4=16
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