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Q.

V1 is the terminal velocity of a metal sphere of mass 0.5 gm and density 5 gm/cc when it is falling in water. V2 is the terminal velocity of another metal sphere of mass 4 gm and density 9 gm/cc when it is falling in water. The ratio of V1 and V2 .

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a

1:4

b

5:9

c

7:25

d

9:40

answer is D.

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Detailed Solution

6πηrVt=mg1−dldb⇒Vt∝mr1−dldb=m2/31−dldb since r∝m1/3so V1V2=940
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