JEE Main2014PhysicsMechanical Properties of FluidsActual
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 o angle at centre. Radius joining their interface makes an angle α with vertical. Ratio d 1 d 2 is :
Options
- A1 + sin α 1 - sin α
- B1 + cos α 1 - cos α
- C1 + tan α 1 - tan α
- D1 + sin α 1 - cos α
Correct answer
C. 1 + tan α 1 - tan α
Step-by-step solution
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 ∴ d 1 d 2 = sin α + cos α cos α - sin α = tan α + 1 1 - tan α