A wire of length L and area of cross section A is made of a material of Young's modulus Y. If it is stretched by an amount x, the work done is given by

A wire of length L and area of cross section A is made of a material o

1.	A wire of length L and area of cross section A is made of a material of Young's modulus Y. If it is stretched by an amount x, the work done is given by
Answer» Solution :RESTORING FORCE in extension x = F =`(AY x)/(L)` Work done in stretching it by dx = dw = F.dx Work done in stretching it from ZERO to x = W = `INT dw = int_(0)^(x)Fdx` `W = int_(0)^(x)(AY )/(L)dx=(1)/(2)(AY x^(2))/(L)`