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Q.

In an experiment to verify Stokes law, a small sphericall ball of radius r and density ρ falls under gravity through a distance h in air before entering a tank of water.  If the terminal velocity of the ball inside water is same as its velocity just before entering the water surface, then the value of h is proportional to (ignore viscosity of air) 

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a

r2

b

r

c

r4

d

r3

answer is A.

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Detailed Solution

VT=29r2ρ−σgn

After falling ‘h’ distance is attains terminal velocity

2gh=29r2ρ−σgn

∴  n∝r4

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