AIIMS 2018 Physics Adiabatic Processes MCQ Question

In an adiabatic process for an ideal gas, the relationship between temperature and work done can be expressed using the formula $W = \frac{C_V}{C_P - C_V} (T_f - T_i)$, where $C_P$ and $C_V$ are the specific heats at constant pressure and volume, respectively. Given that the ratio of specific heats $\frac{C_P}{C_V} = \frac{5}{3}$, we find $C_V = \frac{3R}{2}$ and $C_P = \frac{5R}{2}$. The work done, $W = 6R$, leads to a final temperature $T_f = T - 4$ K, confirming option A as correct. Other options are incorrect as they do not satisfy the derived relationship for the final temperature based on the work done in this adiabatic process.