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Question: The Young's modulus of a wire is Y. If the energy per unit volume is E, then the strain will be...

The Young's modulus of a wire is Y. If the energy per unit volume is E, then the strain will be

A

2EY\sqrt { \frac { 2 E } { Y } }

B

2EY\sqrt { 2 E Y }

C

EY

D

EY\frac { E } { Y }

Answer

2EY\sqrt { \frac { 2 E } { Y } }

Explanation

Solution

Energy per unit volume =12×Y×( strain )2= \frac { 1 } { 2 } \times \mathrm { Y } \times ( \text { strain } ) ^ { 2 }