a
\((i)\) \(\frac{\pi {pa}^{4}}{8 \eta {L}}=\frac{{d} {v}}{{dt}}=\) Volumetric flow rate

(poiseuille's law)

\((ii)\) \({h} \rho {g}=\frac{2 {s}}{{r}} \cos \theta\)

\((iii)\) \({RHS} \Rightarrow \varepsilon \times \frac{1}{4 \pi \varepsilon_{0}} \frac{{a}}{{r}^{2}} \times \frac{1}{\varepsilon}=\frac{{q}}{{t}} \times \frac{1}{{r}^{2}}\) \(=\frac{{I}}{{L}^{2}}={IL}^{-2}\)

\(LHS\)

\({T}=\frac{{I}}{{A}}={IL}^{-2}\)

\((iv)\) \({W}=\tau \theta\)