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A raindrop reaching the ground with terminal velocity has momentum p. Another drop of twice the radius,

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A raindrop reaching the ground with terminal velocity has momentum p. Another drop of twice the radius, also reaching the ground with terminal velocity, will have momentum 

(a) 4p 

(b) 8p 

(c) 16p 

(d) 32p

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Correct Answer is: (d) 32p

As v ∝ r2 and the mass of the drop m ∝ r3, its momentum p = mv ∝ r5. Here, 25 = 32.

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