In the cyclic process shown in the `V-P` diagram the magnitude of the work is 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. `pi(V_(2)-V_(1))^(2)`

Answer

C

Explanation

Process direction in V-P diagram is clockwise so process direction in P-V diagram is anti-clockwise.
Net work done by system = Area
`=pixx((P_(2)-P_(1)))/(2).((V_(2)-V_(1)))/(2)`