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Q.

A metal ball B1 (density 3.2 g/cc) is dropped in water, while another metal ball B2 (density 6.0 g/cc) is dropped in a liquid of density 1.6 g/cc.If both the balls have the same diameter and attain the same terminal velocity, the ratio of viscosity of water to that of the liquid is

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a

2.0

b

0.5

c

4.0

d

indeterminate due to insufficient data

answer is B.

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Detailed Solution

vη = vt2       29gr2nw[σ1-ρw] = 29gr2n1(σ2-ρl)⇒nwnl = σ1-ρwσ2-ρl = 3.2-16-1.6 = 12
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A metal ball B1 (density 3.2 g/cc) is dropped in water, while another metal ball B2 (density 6.0 g/cc) is dropped in a liquid of density 1.6 g/cc.If both the balls have the same diameter and attain the same terminal velocity, the ratio of viscosity of water to that of the liquid is