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Q.

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

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a

1.018×102 dyne 

b

2.018×102 dyne 

c

4.018×102 dyne 

d

3.018×102 dyne 

answer is A.

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Detailed Solution

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 =1.018×102 dyne 

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A rain drop of radius 0.3 mm falls through air with a terminal velocity of 1 ms-1. The viscosity of air is 18×10−5 poise. The viscous force on the rain drop is