A metal rod of Young's modulus 2 xx 10 ^(10) Nm ^(-2),undergoes longitudinal strain of 1%, the potential energy per unit volume stored in rod is ....... Jm^(-3).

A metal rod of Young's modulus 2 xx 10 ^(10) Nm ^(-2),undergoes longit

1.	A metal rod of Young's modulus 2 xx 10 ^(10) Nm ^(-2),undergoes longitudinal strain of 1%, the potential energy per unit volume stored in rod is ....... Jm^(-3).
Answer» `10 ^(6)` `10^(8)` `2xx10 ^(6)` `2xx10^(8)` SOLUTION :The potnetial energy PER unit volume `u = 1/2 xx` stress `xx` STRAIN `=1/2 xx` Young modulus `xx("strain")^(2)` `(because` stress `= Y xx` strain) `=1/2 xx Y ((Delta l )/(l )) ^(2) ` ` therefore u = 1/2 xx 2 xx 10 ^(10) xx (0.01) ^(2)` `therefore u = 1 xx 10 ^(6)` `=10^(6) Jm^(-3)`