Two spherical balls of same radii but of density 4gm/cc and 2 gm/cc are dropped in water. What is the ratio of their terminal velocity?

Solution

Given, two spherical balls are of the same radii but of different density.
Density of first ball = 4gm/cc
Density of second ball = 2 gm/cc
Terminal velocity , v =

straight r squared over straight eta left parenthesis straight rho space minus space straight rho subscript straight o right parenthesis straight g

That is, terminal velocity is directly proportional to the difference in the density of body and liquid.
Therefore, the ratio of the terminal velocity of the two balls will be 2:1.

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Mechanical Properties Of Fluids

Two spherical balls of same radii but of density 4gm/cc and 2 gm/cc are dropped in water. What is the ratio of their terminal velocity?

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