question_answer

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° angle at centre. Radius joining their interface makes an angle \[\alpha \] with vertical. Ratio \[\frac{{{d}_{1}}}{{{d}_{2}}}\]is [JEE MAIN 2014]

A) \[\frac{1+\tan \alpha }{1-\tan \alpha }\]  

B)      \[\frac{1+\sin \alpha }{1-\cos \alpha }\] C) \[\frac{1+\sin \alpha }{1-\sin \alpha }\]     D)      \[\frac{1+\cos \alpha }{1-\cos \alpha }\] Correct Answer: A Solution : [a] Pressure at 0 level is same from both sides.