The elastic energy per unit volume is terms of longitudinal strain `sigma` and Young's modulus `Y` is

strain energy per unit volume is

Strain energy per unit volume is given by

The strain energy per unit volume of a stretched wire is

A metallic wire is suspended by suspending weight to it. If S is longitudinal strain and Y its young's modulus of elasticity then potential energy per unit volume will be

A matallic wire is stretched by suspending weight to it. If alpha is the longitudinal strain and Y its Young's modulus of elasticity, shown that the elastic potential energy per unit volume is given by Y alpha^(2)//2

Assertion If length of a wire is halved, its Young's modulus of elasticity will become two times. Reason The ratio of longitudinal stress and longitudinal strain is called Young's modulus of elasticity.

Assertion If length of a wire is halved, its Young's modulus of elasticity will become two times. Reason The ratio of longitudinal stress and longitudinal strain is called Young's modulus of elasticity.

The energy stored per unit volume of a strained wire is