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Physics Question on mechanical properties of solids

A Steel .wire of length 5m is pulled to have an extension of 1mm. Its Y is 1.9×104 N/m21.9 \times10^4 \,N/m^2 The energy per unit volume stored in it is

A

3.8×10−4 J/m33.8\times10^{-4}\,J/m^3

B

7.6×10−4 J/m37.6\times10^{-4}\,J/m^3

C

1.9×10−4 J/m31.9\times10^{-4}\,J/m^3

D

0.95×10−4 J/m30.95\times10^{-4}\,J/m^3

Answer

3.8×10−4 J/m33.8\times10^{-4}\,J/m^3

Explanation

Solution

U=12y Ae2lU = \frac{1}{2} \frac{y \, Ae^2}{l}