Which of the following equations is dimension | vedclass

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Question

$(i)$ $\frac{\pi {pa}^{4}}{8 \eta {L}}=\frac{{d} {v}}{{dt}}=$ Volumetric flow rate

(poiseuille's law)

$(ii)$ ${h} \rho {g}=\frac{2 {s}}{{r}}

Vedclass · Accepted Answer

${v}=\frac{\pi {pa}^{4}}{8 \eta {L}}$

Vedclass · Answer

$(i)$ $\frac{\pi {pa}^{4}}{8 \eta {L}}=\frac{{d} {v}}{{dt}}=$ Volumetric flow rate

(poiseuille's law)

$(ii)$ ${h} ho {g}=\frac{2 {s}}{{r}} \cos 	heta$

$(iii)$ ${RHS} \Rightarrow \varepsilon 	imes \frac{1}{4 \pi \varepsilon_{0}} \frac{{a}}{{r}^{2}} 	imes \frac{1}{\varepsilon}=\frac{{q}}{{t}} 	imes \frac{1}{{r}^{2}}$ $=\frac{{I}}{{L}^{2}}={IL}^{-2}$

$LHS$

${T}=\frac{{I}}{{A}}={IL}^{-2}$

$(iv)$ ${W}=	au 	heta$

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