Easy MCQ +4 / -1 PYQ · JEE Mains 2024

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 :

  1. A $m g\left(1-\frac{\rho_0}{\rho}\right)$ Correct answer
  2. B $m g\left(\frac{\rho_0}{\rho}-1\right)$
  3. C $m g\left(1-\rho \rho_0\right)$
  4. D $m g\left(1+\frac{\rho}{\rho_0}\right)$

Solution

<p>$$\begin{aligned} & F_V=\left(m g-F_B\right) \frac{m g}{m g}=\left(\frac{\rho V_g-\rho_0 V_g}{\rho V_g}\right) m g \\ & F_v=m g\left(1-\frac{\rho_0}{\rho}\right) \end{aligned}$$</p>

About this question

Subject: Physics · Chapter: Properties of Solids and Liquids · Topic: Elasticity

This question is part of PrepWiser's free JEE Main question bank. 183 more solved questions on Properties of Solids and Liquids are available — start with the harder ones if your accuracy is >70%.

Drill 25 more like these. Every day. Free.

PrepWiser turns these solved questions into a daily practice loop. Chapter-wise drills, full mocks, AI doubt chat. No auto-renew.

Start free →