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Q.

A sphere of radius R  and density ρ1  is dropped in a liquid of density σ. Its terminal velocity is v1. If another sphere of radius R and density ρ2 is dropped in the same liquid, its terminal velocity will be

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a

ρ2−σρ1−σV1

b

ρ1−σρ2⋯σV1

c

ρ1ρ2v1

d

ρ2ρ1V1

answer is A.

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Detailed Solution

Hero 6πηRv1=43πR3ρ1−σ and 6πηRv2=43πR3ρ2−σ∴ v2v1=ρ2−σρ1−σ
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