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 center. Radius joining their interface makes an angle $\alpha $ with vertical. Radio ${{{d_1}} \over {{d_2}}}$ is :

Question

${{1 + \sin \,\alpha } \over {1 - \sin \,\alpha }}$

${{1 + \cos \,\alpha } \over {1 - \cos \,\alpha }}$

${{1 + \tan \,\alpha } \over {1 - \tan \,\alpha }}$

${{1 + \sin \,\alpha } \over {1 - \cos \,\alpha }}$

Solution

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