A metal sphere of radius 'R', density ' ϱ 1 ' moves with terminal velocity ' v 1 ' through a liquid of density ' σ ′ . Another sphere of same radius but of densi

Question

A metal sphere of radius 'R', density ' ϱ 1 ​ ' moves with terminal velocity ' v 1 ​ ' through a liquid of density ' σ ′ . Another sphere of same radius but of density ' ϱ 2 ​ ' moves through same liquid. Its terminal velocity will be

TestHub · Accepted Answer

6 π η R v 1 ​ = 3 4 ​ π R 3 ( ρ 1 ​ − σ ) 6 π η R v 2 ​ = 3 4 ​ π R 3 ( ρ 2 ​ − σ ) ∴ v 1 ​ v 2 ​ ​ = ρ 1 ​ − σ ρ 2 ​ − σ ​ v 2 ​ = ρ 1 ​ − σ ρ 2 ​ − σ ​ v 1 ​

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