JEE Main 2014PhysicsMechanical Properties of FluidsHardMCQ

JEE Main 2014 — Mechanical Properties of Fluids Question with Solution

JEE Main 2014 (19 Apr Online)

Question

A large number of liquid drops each of radius r coalesce to form a single drop of the radius R. The energy released in the process is converted into kinetic energy of the big drop so formed. The speed of the big drop is (given surface tension of the liquid T, density ρ)

Choose an option

Show full solutionCorrect option: B
Correct answer
B6Tρ1r-1R

Step-by-step explanation

n×43πr3=43πR3

∴ n=R3r3  .....i

KE=Ui-Uf

=n×4πr2T-4πR2T

=4πT(nr2-R2)

=4πTR2Rr-1    from i

1243πR3·ρυ2=4πTR2Rr-1

Rρυ26=TRr-1

ρ6υ2=T1r-1R

υ=6Tρ1r-1R

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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.