A) \[\frac{1}{9}\]
B) \[\frac{1}{8}\]
C) \[\frac{1}{6}\]
D) \[\frac{1}{5}\]
Correct Answer: A
Solution :
\[\eta =\frac{w}{{{Q}_{given}}}=\frac{\frac{{{p}_{0}}{{v}_{0}}}{2}}{\frac{1}{2}({{p}_{0}}+2{{p}_{0}}){{v}_{0}}+\frac{nR\Delta T}{2-1}}\] \[=\frac{\frac{{{p}_{0}}{{v}_{0}}}{2}}{\frac{3{{p}_{0}}{{v}_{0}}}{2}+4{{p}_{0}}{{v}_{0}}-{{p}_{0}}{{v}_{0}}}=\frac{1}{9}\]
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