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  • When a force is applied at one end of an elastic wire, it produces a strain  in the wire. If Y&nbsp

When a force is applied at one end of an elastic wire, it produces a strain \varepsilon in the wire. If Y is the Young's modulus of the material of the wire, the amount of energy stored per unit volume of the wire is given by

Option: 1

\mathrm{Y \times \varepsilon}


Option: 2

\mathrm{1 / 2(Y \times \varepsilon)}


Option: 3

\mathrm{Y \times \varepsilon^2}


Option: 4

\mathrm{1 / 2\left(Y \times \varepsilon^2\right)}


Answers (1)

best_answer

\mathrm{\text { Energy stored per unit volume } \left.=\frac{1}{2} \text { (stress } \times \text { strain }\right) \text {. }}

\mathrm{\text { But stress }=\text { Young's modulus } \times \text { strain. Therefore }}

\mathrm{energy \, \, stored \, \, per \, \, unit \, \, volume =\frac{1}{2} Y \varepsilon^2, which \, \, is \, \, choice\, \, (d).}

Posted by

Devendra Khairwa

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