JEE Main & Advanced Physics Thermodynamical Processes Sample Paper Topic Test - Thermodynamical Processes

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) \[\frac{1}{5}\]

Correct Answer: A

Solution :

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

\[=\frac{\frac{{{p}_{0}}{{v}_{0}}}{2}}{\frac{3{{p}_{0}}{{v}_{0}}}{2}+4{{p}_{0}}{{v}_{0}}-{{p}_{0}}{{v}_{0}}}=\frac{1}{9}\]