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Q.

Eight equal drops of water each of radius r=2mm are falling through air with a terminal velocity of 16cm/s the eight drops combine to form a big drop. Calculate the terminal velocity of big drop?

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a

64m/s

b

32m/s

c

16m/s

d

42m/s

answer is C.

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Detailed Solution

Terminal velocity Vt=29r2σ-png

After the drops combine R=2r

Vt∝ r2⇒V1V2=r2R2⇒V2=64 cm/s

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