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Question

A rain drop falls near the surface of the Earth with almost uniform velocity because


A

Its weight is negligible

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B

The force of surface tension balances its weight

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C

The force of viscosity of air balances its weight

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D

The drops are charged and atmospheric electric field balances its weight

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Solution

The correct option is C

The force of viscosity of air balances its weight


Various forces acting on a drop during its descent are

(i)Its weightω, downwards

(ii)Buoyant force by air, upwards

(iii)Viscous force by air, upwards

Now when drop is falling with uniform velocity,

Forces are balanced [acceleration = 0]

ω=FB+Fv
But due to very low density of air and very small size of the drop
FB0
ω=Fv
Hence (c)

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