Question

a wire of length 'l'and cross - sectional area A is made of a material of Young's modulus Y. If the wire is stretched by an amount x then work done is​

Answer 1

Answer:

Work done is equal to the potential energy stored in the wire.

∴ W=U=

2

1

×Stress×Strain×Volume

OR W=

2

1

×Y(Strain)

2

×Volume .............(1) (Strain=Y×Strain)

Strain=

L

x

and Volume=AL

∴ W=

2

1

×Y×

L

2

x

2

×AL ⟹W=

2L

Yx

2

A