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Q.

An iron sphere of mass 20 x 10-3 kg falls through a viscous liquid with terminal velocity 0.5 m/s.  The terminal velocity (in m/s) of another iron sphere of mass 54 x 10-2 kg is 

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a

3.5

b

1.5

c

4.5

d

2.5

answer is D.

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Detailed Solution

Terminal velocity  V=29r2(ρ−σ)ghm∝r3; r∝m1/3; r2∝m2/3⇒V∝m2/3V2V1=54×10−22×10−22/3=9⇒V2=4.5ms−1

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