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Q.

1000 equal drops of water are falling through air with a steady speed of 20 cm/sec.  If the drops coalesce, then the new velocity is :

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a

1500 cm/s

b

2000 cm/s

c

1000 cm/s

d

3000 cm/s

answer is C.

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Detailed Solution

 v∝r2 v1v2=(rR)2
Volume conservation
 1000×43π(r)3=43πR3 10r=R rR=110 20v=(110)2 20v=1100 v=2000  cm/s

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