Discussion Forum

 There is a circular tube in a vertical plane. Two liquids that do not mix and of densities  d₁ and d2  are filled in the tube. Each liquid subtends  90⁰ C  angle at centre. Radius joining  their interface  makes an angle   $\alpha$  with vertical, Ration d₁/d₂  is 

Answer:

Explanation:

 Equating  pressure at A, we get

   $R\sin\alpha d_{2}+R\cos\alpha d_{2}+R(1-\cos \alpha)d_{1}$

   =   $R(1-\sin\alpha)d_{1}$

$(\sin \alpha+\cos\alpha)d_{2}=d_{1}(\cos\alpha-\sin \alpha)$

  $\frac{d_{2}}{d_{1}}=\frac{1+\tan \alpha}{1-\tan \alpha}$