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A raindrop of radius 0.3 mm has a termin...

A raindrop of radius 0.3 mm has a terminal velocity in air `1ms^(-1)` . The viscosity of air is `18xx10^(-3)` poise. The viscous force on it is

A

`101.37xx10^4` dyne

B

`101.73xx10^(-2)` dyne

C

`16.95 xx 10^(-5)` dyne

D

`16.95xx10^(-4)` dyne

Text Solution

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The correct Answer is:
B
Given, terminal velocity , `v=1ms^(-1) = 100cms^(-1)` radius of the rain drop , `r=0.3mm = 0.3xx10^(-1) cm`
Viscosity of air `eta = 18xx10^(-3)` poise
`therefore " Viscous force , " F=6pietarv`
`6=xx3.14xx18xx10^(-3) xx0.3xx10^(-1)xx100`
`1017.36xx10^(-3) "dyne " = 101,73 xx10^(-2)` dyne .
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