There is a circular tube in a vertical plane. Two liquids which do not mix and of densities d_1 and d_2 are filled in the tube. Each liquid subtends…

There is a circular tube in a vertical plane. Two liquids which do not mix and of densities $\displaystyle \mathrm{d}_1$ and $\displaystyle \mathrm{d}_2$ are filled in the tube. Each liquid subtends $\displaystyle 90$° angle at centre. Radius joining their interface makes an angle $\displaystyle \alpha$ with vertical. Ratio $\displaystyle \frac{\mathrm{d}_1}{\mathrm{~d}_2}$ is :