Define longitudinal stress and longitudinal strain and show that work done per unit volume of a stretched wire is `(1)/(2) "stress" xx "strain". `

The stored energy per unit volume of a stretched wire is

Work done per unit time

Define stress and strain?

The ratio of tensile stress to the longitudinal strain is defined as

The work done in stretching an elastic wire per unit volume is or strain energy in a stretched string is

On stretching a wire, the elastic energy stored per unit volume is,

If s is stress and Y is Young's modulus of material, the energy stored per unit volum is

Assertion If a wire is stretched, only half of the work done in stretching the wire remains stored as elastic potential energy. Reason Potential energy stored in the wire is 1/2 (stress) xx (strain)

The speed of longitudinal wave is ten times the speed of transverse waves in a tight brass wire. If young's modulus of the wire is Y , then strain in the wire is

A metallic wire is stretched by suspending a weight of it. If alpha is the longitudinal strain and Y is its Young's modulus of elasticity, then slow that the elastic potential energy per unit volume is given by 1/2Yalpha^(2) .