A copper wire of length 3 m is stretched by 3 mm by applying an… | JEE Main 2026 (5 Apr, Shift 2)

Q1JEE Main 2026 · 5 APR · SHIFT 2Medium

Elastic Potential Energy

A copper wire of length 3 m is stretched by 3 mm by applying an external force. The volume of the wire is $600 \times 10^{-6}\text{ m}^3$ . The elastic potential energy stored in the wire in stretched condition would be ______ J.

(Given Young modulus of copper $= 1.1 \times 10^{11}\text{ N/m}^2$ )

Numerical answer type. Work it out, then open the answer.

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Answer: 33

$U = \dfrac{1}{2}Y\varepsilon^2 \times V$ , with $\varepsilon = \dfrac{3\text{ mm}}{3\text{ m}} = 10^{-3}$ .
$U = \dfrac{1}{2} \times 1.1 \times 10^{11} \times 10^{-6} \times 600 \times 10^{-6}$
$U = 33\text{ J}$
So the answer is 33 J.

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