JEE Main 2014PhysicsMechanical Properties of FluidsHardMCQ

JEE Main 2014 — Mechanical Properties of Fluids Question with Solution

JEE Main 2014 (06 Apr)

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 centre. Radius joining their interface makes an angle α  with vertical. Ratio d 1 d 2   is :

Choose an option

Show full solutionCorrect option: C
Correct answer
C 1 + tan α 1 - tan α

Step-by-step explanation

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

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About this question

This is a previous-year question from JEE Main 2014, covering the Mechanical Properties of Fluids chapter of Physics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.