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Question

If n identical water droplets falling under gravity with terminal velocity v coalesce to form a single drop which has the terminal velocity 4v. Find the number n. 


  1. 4

  2. 2

  3. 6

  4. None of these


Solution

The correct option is D

None of these


v=Kr21
4v=Kr22
r22=4r21
r2=2r1
Since n drops of radius r1 make a drop of radius r2
43πr32=n43πr31
r32=nr31
(2r1)3=nr31
n=8

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