Physics Question from JEE Main 2023 · 6 April, Shift 2

Two concentric circular coils with radii $1 \, \text{cm}$ and $1000 \, \text{cm}$, and number of turns $10$ and $200$ respectively are placed coaxially with centers coinciding. The mutual inductance of this arrangement will be _____ $\times 10^{-8}$ H. (Take $\pi^2 = 10$)