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.

A wire of length 2m and cross-sectional area 2 xx 10^(-6) m^(2) is mad

1.	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.
Answer» Solution :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`