In the experiment for measurement of viscosity ' $\eta$ ' of given liquid with a ball having radius

Question

In the experiment for measurement of viscosity ' $\eta$ ' of given liquid with a ball having radius $R$, consider following statements.\ A. Graph between terminal velocity $V$ and $R$ will be a parabola.\ B. The terminal velocities of different diameter balls are constant for a given liquid.\ C. Measurement of terminal velocity is dependent on the temperature.\ D. This experiment can be utilized to assess the density of a given liquid.\ E. If balls are dropped with some initial speed, the value of $\eta$ will change.\ Choose the correct answer from the options given below.\

Professor PC Thomas Classes · Answer

(b) : Terminal velocity, $$ \begin{aligned} & V=\frac{2}{9} \frac{r^{2}(ho-\sigma)}{\eta} g 	ext { or } V \propto r^{2} \ & 	ext { or } \frac{V}{r^{2}}=\frac{2 g(ho-\sigma)}{9 \eta}=	ext { constant } \end{aligned} $$