MHT CET · Physics · Mechanical Properties of Fluids
A solid ball of volume \(V\) is dropped in a viscous liquid. It experiences a viscous force \(F\). If the solid ball of volume \(2 V\) of same material is dropped in the same fluid, then the viscous force acting on it will be
- A \(n F / 2\)
- B \(\mathrm{F} / \mathrm{2}\)
- C \(2 F\)
- D \(2 n F\)
Answer & Solution
Correct Answer
(C) \(2 F\)
Step-by-step Solution
Detailed explanation
Viscous force, \(F=6 \pi \eta r v\)
but
\(
v \propto r^{2}
\)
\(
\therefore \begin{array}{lll}
F \propto V & \text { (volume) }
\end{array}
\)
So, on doubling the volume of the ball, the viscous force is doubled.
but
\(
v \propto r^{2}
\)
\(
\therefore \begin{array}{lll}
F \propto V & \text { (volume) }
\end{array}
\)
So, on doubling the volume of the ball, the viscous force is doubled.
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