Fluid Mechanics Viscosity Question 71

Question: Water rises up to a height h in a capillary tube of certain diameter. This capillary tube is replaced by a similar tube of half the diameter. Now the water will rise to the height of [Kerala PMT 2005]

Options:

A) 4h

B) 3h

C) 2h

D) H

Show Answer

Answer:

Correct Answer: C

Solution:

$ h\propto \frac{1}{r} $ Þ $ \frac{h_{2}}{h_{1}}=\frac{r_{1}}{r_{2}}=\frac{D_{1}}{D_{2}}=2 $ Þ $ h_{2}=2h_{1} $