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A tiny sphere of mass m and density is dropped in a tall jar

Question

A tiny sphere of mass $m$ and density $ρ$ is dropped in a tall jar of glycerine of density $σ$ . When the sphere acquires terminal velocity, the magnitude of the viscous force acting on it is

\frac{m g ρ}{σ}

\frac{m g σ}{ρ}

m g (1 + \frac{ρ}{σ})

m g (1 - \frac{σ}{ρ})

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A tiny sphere of mass

m

and density

ρ

is dropped in a tall jar of glycerine of density

σ

. When the sphere acquires terminal velocity, the magnitude of the viscous force acting on it is

6 mins ago

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6 mins ago

Text solutionVerified

A t v = v_{T} U + F = W ∴ F = W - U = W (1 - \frac{U}{W}) ∴ F = W (1 - \frac{Vσ g}{V ρ g}) ∴ f = m g (1 - \frac{σ}{ρ}) He n ce, t h e o pt i o n D i s t h e correc t an s w er .

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Question Text	A tiny sphere of mass $m$ and density $ρ$ is dropped in a tall jar of glycerine of density $σ$ . When the sphere acquires terminal velocity, the magnitude of the viscous force acting on it is
Answer Type	Text solution:1
Upvotes	150