In the cyclic process shown in P-V diagram the magnitude of work done is :

Options

A. `pi ((P_(2) - P_(1))/(2))^(2)`
B. `pi ((V_(2) - V_(1))/(2))^(2)`
C. `(pi)/(4) (P_(2) - P_(1)) (V_(2) - V_(1))`
D. `p (V_(2) - V_(1))^(2)`

Answer

C

Explanation

Workdone = Area of sphere `= pi r^(2) = pi [(1)/(2) (P_(2) - P_(1))]^(2)`