First slide

Viscosity

Question

The terminal velocity of a small ball falling in a viscous liquid depends upon i) its mass m ii) its radius r iii) the coefficient of viscosity of the liquid η and iv) acceleration due to gravity. Which of the following relations is dimensi-onally true for the terminal velocity V =

Easy

A

$\large \frac {Kmg}{\eta r}$
B

$\large \frac {Kmgr}{\eta }$
C

$\large \frac {Kmg\eta}{r }$
D

$\large \frac {Kr\eta}{mg }$

Solution

Dimensional Formula of
$\large \frac {Kmg}{\eta r}=\frac {MLT^{-2}}{ML^{-1}T^{-1}L}=LT^{-1}$

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