Properties of matterMedium

Question

If in a wire of young,s modulus Y,longitudinal strain X is produced then the potential energy stroed in its unit volume will be:

Options

A.0.5YX2
B.0.5Y2X
C.2YX2
D.YX2

Solution

Potential energy stored per unit volume of a wire
= × Stress × Strain
= × Y × X × X       [Stress = Y × X]
= 0.5YX2

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