1.

In the cyclic process shown on `P_V` diagram, the magnitude of the work done is 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(P_(2)V_(2) = P_(1)V_(1))`

Answer» Work done `=` Area under the curve
Area of sphere `= pir^(2) = pi = pi((V_(2)-V_(1))^(2))/(2) (r=(V_(2)-V_(1))/(2))`
`=(pi(P_(2)^(2)-P_(1))^(2))/(2) (r =(P_(2)-P_(1))/(2))`
`:. `(b) and (a)


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