JEE Mains · Physics · STD 11 - 9.1 fluid mechanics
A small ball of mass \(m\) and density \(\rho\) is dropped in a viscous liquid of density \(\rho_0\). After sometime, the ball falls with constant velocity. The viscous force on the ball is _______.
- A \(\mathrm{mg}\left(\frac{\rho_0}{\rho}-1\right)\)
- B \(\operatorname{mg}\left(1+\frac{\rho}{\rho_0}\right)\)
- C \(\mathrm{mg}\left(1-\rho \rho_0\right)\)
- D \(m g\left(1-\frac{\rho_0}{\rho}\right)\)
Answer & Solution
Correct Answer
(D) \(m g\left(1-\frac{\rho_0}{\rho}\right)\)
Step-by-step Solution
Detailed explanation
\(\mathrm{mg}-\mathrm{F}_{\mathrm{B}}-\mathrm{F}_{\mathrm{v}}=\mathrm{ma}\) \(\mathrm{a}=0 \text { for constant velocity }\) \(\mathrm{mg}-\mathrm{F}_{\mathrm{B}}=\mathrm{F}_{\mathrm{v}}\)…
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