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Q.

A solid rubber ball of density p and radius Ii falls vertically through air. Assuming that the air resistance on the ball is F = I .R v, where K is a constant and y is the velocity. Because of this air resistance, the ball attains a constant velocity called terminal velocity v T after some time, then v T is

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a

4πρgR23K

b

4πRρgK

c

4ρg3KR2

d

4ρgR33K

answer is A.

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Detailed Solution

mg=KRV ∴ 43πR3ρg=KRvT vT=43⋅πR2ρgK
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