Physics Question from JEE Main 2023 · 29 January, Shift 2

When two resistances $R_1$ and $R_2$ are connected in series and introduced into the left gap of a meter bridge and a resistance of $10 \, \Omega$ is introduced into the right gap, a null point is found at $60 \, \text{cm}$ from the left side. When $R_1$ and $R_2$ are connected in parallel and introduced into the left gap, a resistance of $3 \, \Omega$ is introduced into the right gap to get the null point at $40 \, \text{cm}$ from the left end. The product of $R_1 R_2$ is _____ $\Omega^2$: