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Question

A rain drop of radius 0.3 mm falls through air with a terminal velocity of 1 m s1. The viscosity of air is 18×105 poise. The viscous force on the rain drop is then

A
1.018×102 dyne
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B
2.018×102 dyne
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C
3.018×102 dyne
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D
4.018×102 dyne.
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Solution

The correct option is A 1.018×102 dyne
Here, r=0.3mm=0.03cm,
v=1ms1=100cms1,
η=18×105 poise.
According to stokes law, force of viscosity on rain drop is
F=6πηrv
=6×3.142×18×105×0.03×100 dyne
=1.018×103 dyne.

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