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here, W=elastic potential energy per unit volume
elastic potential energy(U)=(Youngs modulous of wire)(area of the wire)(change in length of the wire)2/twice the original length of the wire =YA(Δl)2/2l
threrefore,W=U/volume
=YA(Δl)2/2Al2
=(Δl/l)(y.Δl/2l)
=1/2.(strain)(y.strain)
=1/2.(stress)(strain)
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