Q. 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 pressure p across its end, is
A) $V = \frac{\pi pr^{4}}{8\eta l}$
B) $V = \frac{\pi\eta l}{8pr^{4}}$
C) $V = \frac{8p\eta l}{\pi r^{4}}$
D) $V = \frac{\pi p\eta}{8lr^{4}}$
Explanation
Formula for viscosity $\eta = \frac{\pi pr^{4}}{8Vl} \Rightarrow V = \frac{\pi pr^{4}}{8\eta l}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.