JEE PHYSICS MCQ: MECHANICAL PROPERTIES OF FLUIDS

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A solid sphere of radius

R

acquires a terminal velocity

{v_1}

when falling (due to gravity) through a viscous fluid having a coefficient of viscosity

\eta

. The sphere is broken into 27 identical solid spheres. If each of these spheres acquires a terminal velocity,

{v_2}

when falling through the same fluid, the ratio

\left( {{v_1}/{v_2}} \right)

equals

View answer and explanation

Correct option: A

Option A (9) is correct because the terminal velocity is proportional to the square of the radius, and the radius changes by a factor of 3 when the sphere is divided into 27 smaller spheres.

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