JEE-2015

Classical Mechanics Level 2

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 $90^\circ$ angle at centre. Radius joining their interface makes an angle $\alpha$ with vertical. Ratio $\frac {d_1}{d_2 }$ is:

\frac {1 + \sin \alpha }{1 - \cos \alpha }

\frac {1 + \cos \alpha }{1 - \cos \alpha }

\frac {1 + \sin \alpha }{1 - \sin \alpha }

\frac {1 + \tan \alpha }{1 - \tan \alpha }