• question_answer An imaginary ideal gas with adiabatic exponent $\gamma =2$ goes through a cycle as shown in figure. Find efficiency of cycle:             A) $\frac{1}{9}$ B) $\frac{1}{8}$ C) $\frac{1}{6}$ D) $\frac{1}{5}$

 [a]$\eta =\frac{w}{{{Q}_{given}}}=\frac{\frac{{{p}_{0}}{{v}_{0}}}{2}}{\frac{1}{2}({{p}_{0}}+2{{p}_{0}}){{v}_{0}}+\frac{nR\Delta T}{2-1}}$ $=\frac{\frac{{{p}_{0}}{{v}_{0}}}{2}}{\frac{3{{p}_{0}}{{v}_{0}}}{2}+4{{p}_{0}}{{v}_{0}}-{{p}_{0}}{{v}_{0}}}=\frac{1}{9}$