d
$(d)$ Change in internal energy of $n$ moles of an ideal gas, when temperature changes by $\Delta T$ is
$\Delta U=n \cdot \frac{f}{2} \cdot R \cdot \Delta T$
$=\frac{f}{2}(n R \Delta T)=\frac{f}{2}(\Delta p \cdot V)$
$\left[\therefore\right.$ for ideal gas $\left.p V=n R^{\prime} T\right]$
Here, $f=5$ (gas is diatomic)
$\Delta p=10^{5} \,Pa , V=1 \,L =10^{-3} \,m ^{3}$
So, $\Delta U=\frac{5}{2} \times 10^{5} \times 10^{-3}=250 \,J$