Correct option (d) \(4 \mathrm{mH}\)
Explanation:
Mutual inductance between coils is
$$
\begin{aligned}
M &=K \sqrt{L_{1} L_{2}} \\
\text { or, } M &=1 \sqrt{2 \times 10^{-3} \times 8 \times 10^{-3}} \quad(\because K=1) \\
&=4 \times 10^{-3}=4 \mathrm{mH} .
\end{aligned}
$$