WBJEE · Physics · Mechanical Properties of Fluids
Two solid spheres of same metal but of mass \(\mathrm{M}\) and \(8 \mathrm{M}\) fall simultaneously on a viscous liquid and their terminal velocities are \(v\) and \(n v\) then value of \(n\) is
- A 16
- B 8
- C 4
- D 2
Answer & Solution
Correct Answer
(C) 4
Step-by-step Solution
Detailed explanation
\begin{aligned} & \text { Hints: } m=\frac{4}{3} \pi r^3 \times \rho \\ & m \propto r^3 \\ & \left(\frac{r_1}{r_2}\right)^3=\frac{1}{8} \\ & \frac{r_1}{r_2}=\frac{1}{2} \\ & 6 \pi n r \mathrm{~V}=\frac{4}{3} \pi r^3(d=\rho) \\ & \mathrm{V} \propto r^2,…
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