Question

If 'S' is stress and 'Y' is young's modulus of the material of a wire, the energy stored in the wire per unit volume is ______.

Options

• `S^2/(2Y)`

• 2S²Y

• `S/(2Y)`

• `(2Y)/S^2`

Answer 1

If 'S' is stress and 'Y' is Young's modulus of the material of a wire, the energy stored in the wire per unit volume is `underlinebb(S^2/(2Y))`.

Explanation:

Energy stored in the wire per unit volume,

E = `1/2` × stress × strain .............(i)

E = `1/2 xx "stress" xx "stress"/Y = 1/2.S^2/Y`