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Question: Answered & Verified by Expert

A raindrop with radius R=0.2 mm falls from a cloud at a height h=2000 m above the ground. Assume that the drop is spherical throughout its fall and the force of buoyance may be neglected, then the terminal speed attained by the raindrop is : [Density of water fw=1000 kg m-3 and Density of air fa=1.2 kg m-3, g=10 m/s2 Coefficient of viscosity of air =1.8×10-5N s m-2

PhysicsMechanical Properties of FluidsJEE MainJEE Main 2021 (27 Jul Shift 2)
Options:
  • A 250.6 m s-1
  • B 43.56 m s-1
  • C 4.94 m s-1
  • D 14.4 m s-1
Solution:
2261 Upvotes Verified Answer
The correct answer is: 4.94 m s-1

At terminal speed

a=0

Fnet=0

mg=Fv=6πηRv

V=mg6πηRV

v=ρw4π3R3 g6πηR

=2ρwR2 g9η

=40081 m/s

=4.94 m/s

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