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JEE Main 201226 MayOnline

Exam: JEE Main
Year: 2012
Date: 26 May
Mode: Online
Subject: Physics
Chapter: Mechanical Properties of Fluids

JEE Main 2012 · 26 May · Online · Physics · Mechanical Properties of Fluids

The terminal velocity of a small sphere of radius a in a viscous...

The terminal velocity of a small sphere of radius

a

in a viscous liquid is proportional to

Options

A $a^2$
B $a^3$
C $a$
D $a^{-1}$

Correct answer

A. $a^2$

Step-by-step solution

Terminal velocity in a viscous medium is given by:

\begin{aligned}& V_T=\frac{2 a^2(\rho-\sigma) g}{9 \eta}\\ & \therefore V_T \propto a² \end{aligned}

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