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A rain drop of radius 0.3 mm has a term...

A rain drop of radius 0.3 mm has a terminal velocity I air 1 `ms^(-1)`.The viscosity of air is `18xx10^(-5)` poise.Find the viscous force on the rain drops.

A

`101.37xx10^(-4)` dyne

B

`101.73xx10^(-2)` dyne

C

`16.95xx10^(-5)` dyne

D

`16.95xx10^(-4)` dyne

Text Solution

Verified by Experts

The correct Answer is:
B

Given terminal velocity, `v=1ms^(-1)=100cms^(-1)` radius of the raindrop, r=0.3mm `=0.3xx10^(-1)"cm"`
Viscosity of air `eta=18xx10^(-3)"Poise"`
`therefore "Viscous force, F"=6 pi eta rv`
`=1017.36xx10^(-3)"dyne"=101.73xx10^(-2)"dyne"`
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