NEET UG PHYSICS MCQ: MECHANICAL PROPERTIES OF FLUIDS

1 Medium

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Application +4 | -1

What is velocity

v

of a metallic ball of radius

r

falling in a tank of liquid at the instant when its acceleration is one-half that of the freely falling body? (The densities of metal and of liquid are 

\rho

and

\sigma

respectively, and the viscosity of the liquid is ɳ)

View answer and explanation

Correct option: A

\frac{{{r^2}g}}{{9\eta }}\left( {\mathrm{\rho } - 2\mathrm{\sigma }} \right)

Option A is correct because it represents the terminal velocity derived from balancing the gravitational force, buoyant force, and viscous drag force when the acceleration is half of g.

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