If in a wire of Young's modulus Y , longitudinal strain X is produced then the potential energy stored in its unit volume will be

Step-by-step solution

When a wire is stretched work is done against the interatomic forces. This work is stored in the wire in the form of elastic potential energy. Elastic potential energy per unit volume is U= 1 2 stress strain From definition of Young's modulus of wire aligned Y &= stress strain Stress &=Y strain aligned Given, strain =X Therefore, U= 1 2 Y X² U=0.5 Y X²