Question

A dimensionally consistent relation for the volume V of a liquid of coefficient of viscosity $\eta$ flowing per second through a tube of radius r and length l and having a pressure difference P across its end, is

• A. V=$\frac{\pi P{\gamma }^4}{8\eta l}$
• B. V=$\frac{\pi \eta l}{8P{\gamma }^4}$
• C. V=$\frac{8P\eta l}{\pi {\gamma }^4}$
• D. V = $\frac{\pi P\eta }{8l{\gamma }^4}$

Answer 1

The correct option is A V=$\frac{\pi P{\gamma }^4}{8\eta l}$

Formula for viscosity $\eta =\frac{\pi P{\gamma }^4}{8Vl}\Rightarrow$ V = $\frac{\pi P{\gamma }^4}{8\eta l}$