A small steel ball of radius r is falling under gravity through a column of a viscous…
Physics · NEET · NTA Exams — Physics and Measurement
A small steel ball of radius r is falling under gravity through a column of a viscous liquid of coefficient of viscosity η. Its terminal velocity vT depends on the mass of the ball m, acceleration due to gravity g, η and r. Which of the following relations is dimensionally correct?
- \(\begin{array}{c} v_{T} \operatorname{ming} p^{\prime} \end{array}\)
- \(v_{\tau} \times \frac{\mathrm{mg}}{\mathrm{r} \eta}\)
- \(v_{\tau} \approx \frac{\mathrm{mgr}}{\eta}\)
- \(v_{T} \pi \frac{\eta m g}{\rho}\)
Answer
(B) v_ mg r
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