A wire of length 2m and cross-sectional area `2 xx 10^(-6) m^(2)` is made of a material of Young's modulus `2 xx 10^(11) Nm^(-2)`. What is the work done in stretching it through 0.1 mm.

Explanation

Work done = `1/2 Y xx ("Strain")^(2) xx "Volume"`
`=1/2 xx 2 xx 10^(11) xx((0.1 xx 10^(-3))/(2))^(2) xx (2 xx 10^(-6))`
`-0.1 xx 10^(11) xx 10^(-12) = 0.1 xx 10^(-1)`
Workdone `= 100 xx 10^(-4) J`