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  • When a force is applied at one end of an elastic wire, it produces a strain  in the wire. If <img alt="Y" src="https://en

When a force is applied at one end of an elastic wire, it produces a strain E in the wire. If Y is the young modulus of the material of the wire, the around of energy stored per unit volume of the wire is given by -

Option: 1

Y\times{E}


Option: 2

\frac{1}{2}(Y \times E)


Option: 3

Y\times{}E^2


Option: 4

\frac{1}{2}(Y \times E^2)


Answers (1)

best_answer

\begin{aligned} & \text { Energy per unit volume }=\frac{1}{2} \times {\text { stress } \times}{\text { strain }} \\ &=\frac{1}{2} \times(Y \times \text { strain })\times\text{strain} \\ &=\frac{1}{2} \times Y \times E^2 \ \end{aligned}

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Deependra Verma

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