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JEE Mains · Physics · STD 11- 8. mechanical properties of solids

A copper wire of length \(3\text{ m}\) is stretched by \(3\text{ mm}\) 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 \(= 1.1 \times 10^{11}\text{ N/m}^2\))

  1. A 33
  2. B 34
  3. C 35
  4. D 36
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Answer & Solution

Correct Answer

(A) 33

Step-by-step Solution

Detailed explanation

Given parameters: \(L = 3\text{ m}\) \(\Delta L = 3 \times 10^{-3}\text{ m}\) \(V = 600 \times 10^{-6}\text{ m}^3\) \(Y = 1.1 \times 10^{11}\text{ N/m}^2\) Strain is given by: \(\text{Strain} = \dfrac{\Delta L}{L} = \dfrac{3 \times 10^{-3}}{3} = 10^{-3}\) Elastic potential…
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