A) \[\pi \times {{10}^{3}}J\]
B) \[\frac{\pi }{2}J\]
C) \[4\pi \,\,\times \,\,{{10}^{2}}J\]
D) \[{{\pi }^{2}}J\]
Correct Answer: B
Solution :
In cyclic process \[\Delta Q\] = Work done = Area inside the closed curve, Treat the circle as an ellipse of area \[=\,\,\frac{\pi }{4}\,({{P}_{2}}-{{P}_{1}})({{V}_{2}}-{{V}_{1}})\] \[\Rightarrow \,\,\,\,\Delta Q\,\,=\frac{\pi }{4}=\,\,\left\{ (150-50)\times {{10}^{3}} \right\}=\frac{\pi }{2}\,J\]
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