There is a circular tube in a vertical plane. Two liquids which do not mix and of densities d₁and d₂are filled in the tube. Each liquid subtends 90^oangle at centre. Radius joining their interface makes an angle $α$ with vertical. Ratio $\frac{d_{1}}{}$ is :

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TestHub · Accepted Answer

Pressure at common interface of two liquid columns is same.

$d_{1} gR [] [1 - sin α] [] = d_{1} gR [] [1 - cos α] [] + d_{2} gR [] [sin α + cos α]$

$d_{1} [] [cos α - sin α] [] = d_{2} [] [sin α + cos α]$

$∴ \frac{d_{1}}{} = \frac{sin α +}{cos α} = \frac{tan α + 1}{}$

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