First slide

Viscosity

Question

Sixty four spherical rain drops of equal size are falling vertically through air with a terminal velocity 1.5-ms^-1.If these drops coalesce to form a big spherical drop, then terminal velocity of big drop is:

Moderate

A

$8 {ms}^{- 1}$
B

$16 {ms}^{- 1}$
C

$24 {ms}^{- 1}$
D

$32 {ms}^{- 1}$

Solution

$v'_{t} \infty R^{2} R = n^{1 / 3} r v \infty r^{2} \infty n^{\frac{2}{3}} v^{'} = {(64)}^{\frac{2}{3}} v$

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