If the terminal speed of a sphere A [density ρ A = 7.5 kg m − 3 ] is 0.4 ms − 1 , in a viscous liquid [density ρ L = 1.5 kg m − 3 ], the terminal speed of sphere B [density ρ B = 3 kg m − 3 ] of

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If the terminal speed of a sphere A [density ρ A ​ = 7.5 kg m − 3 ] is 0.4 ms − 1 , in a viscous liquid [density ρ L ​ = 1.5 kg m − 3 ], the terminal speed of sphere B [density ρ B ​ = 3 kg m − 3 ] of the same size in the same liquid is

TestHub · Accepted Answer

Terminal speed is given by ​ V = 9 2 ​ η r 2 ( ρ − ρ L ​ ) ​ ∴ V B ​ V A ​ ​ = ρ B ​ − ρ L ​ ρ A ​ − ρ L ​ ​ = 3 − 1.5 7.5 − 1.5 ​ = 1.5 6 ​ = 4 ∴ V B ​ = 4 V A ​ ​ = 4 0.4 ​ = 0.1 ms − 1 ​

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