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