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Question

There is a circular tube in a vertical plane. Two liquids which do not mix and of densities d1 and d2 are filled in the tube. Each liquid subtends 90o angle at the centre. Radius joining their interface makes an angle α=30o with vertical. Ratiod1d2 is (Answer upto two digit after the decimal point)

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Solution


Equating pressure at A,
(Rcos α + Rsin α) d2g = (Rcos α Rsin α) d1g
d1d2=cos α + sin αcos α sin α=1+tan α1tan α=3+131=3.732

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