2020 Mechanical Properties of FluidsSurface Tension – Capillary Rise Medium Question 17 of 34 in Mechanical Properties of Fluids

A capillary tube of radius $r$ is immersed in water and water rises in it to a height $h$. The mass of the water in the capillary is 5 g. Another capillary tube of radius $2r$ is immersed in water. The mass of water that will rise in this tube is:

A 5.0 g
B 10.0 g
C 20.0 g
D 2.5 g

The answer is B.

Solution

The force of surface tension balances the weight of water in the tube: $2\pi rT\cos\theta = mg$ T and $\theta$ are constant, so $m \propto r$ $\frac{m_2}{5.0} = \frac{2r}{r} \Rightarrow m_2 = 10.0$ g

Concept mass of water in a capillary

Mechanical Properties of Fluids in past papers

34 questions from this chapter have appeared across 14 exam years.