WBJEE · Physics · Mechanical Properties of Fluids
Two spheres of equal masses but radii \(r_1\) and \(r_2\) are allowed to fall in a liquid of infinite column. The ratio of their terminal velocities is
- A \(1\)
- B \(r_1: r_2\)
- C \(\mathrm{r}_2: \mathrm{r}_1\)
- D None of the above
Answer & Solution
Correct Answer
(D) None of the above
Step-by-step Solution
Detailed explanation
We have \(\mathrm{v}_{\mathrm{T}}=\frac{2 r^2(\sigma-\rho) g}{9 \eta}\) \(\frac{\mathrm{v}_1}{\mathrm{v}_2}=\left(\frac{\mathrm{r}_1}{\mathrm{r}_2}\right)^2 \frac{\left(\sigma_1-\rho\right)}{\left(\sigma_2-\rho\right)} ;\) given…
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