A) \[\pi {{\left( \frac{{{P}_{2}}-{{P}_{1}}}{2} \right)}^{2}}\]
B) \[\pi {{\left( \frac{{{V}_{2}}-{{V}_{1}}}{2} \right)}^{2}}\]
C) \[\frac{\pi }{4}({{P}_{2}}-{{P}_{1}})({{V}_{2}}-{{V}_{1}})\]
D) \[\pi ({{V}_{2}}-{{V}_{1}}^{2})\]
Correct Answer: C
Solution :
[c] Process direction in \[V-P\]diagram is clockwise so process direction in \[P-V\] diagram is anti-clockwise. Net work done by system = area of the circle \[=\pi \times \frac{({{P}_{2}}-{{P}_{1}})}{2}.\frac{({{V}_{2}}-{{V}_{1}})}{2}\]
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