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 FB≃0 ⇒ω=Fv Hence (c)

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