In the reported figure, there is a cyclic process ABCDA on a sample of $1 \mathrm{~mol}$ of a diatomic gas. The temperature of the gas during the process $\mathrm{A} \rightarrow \mathrm{B}$ and $\mathrm{C} \rightarrow \mathrm{D}$ are $\mathrm{T}_{1}$ and $\mathrm{T}_{2}\left(\mathrm{~T}_{1}>\mathrm{T}_{2}\right)$ respectively.
Choose the correct option out of the following for work done if processes BC and DA are adiabatic.
Correct Option: , 2
Work done in adiabatic process $=\frac{-n R}{\gamma-1}\left(T_{f}-T_{i}\right)$
$\therefore \mathrm{W}_{\mathrm{AD}}=\frac{-\mathrm{nR}}{\gamma-1}\left(\mathrm{~T}_{2}-\mathrm{T}_{1}\right)$
and $\mathrm{W}_{\mathrm{BC}}=\frac{-\mathrm{nR}}{\gamma-1}\left(\mathrm{~T}_{2}-\mathrm{T}_{1}\right)$
$\therefore \mathrm{W}_{\mathrm{AD}}=\mathrm{W}_{\mathrm{BC}}$
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