Consider an ideal gas confined in an isolated closed chamber. As the gas undergoes an adiabatic expansion , the average time of collision between molecules increases as $V^q$, where V is the volume of the gas. The value of q is : $\bigg[\gamma =\large\frac{C_p}{C_v}\bigg]$

Question

$\begin{array}{1 1} \frac{3 \gamma +5}{6} \\ \frac{3 \gamma -5}{6} \\ \frac{\gamma +1}{2} \\ \frac{ \gamma -1}{2} \end{array} $