A capillary tube of radius r is immersed in water and water rises in it to a height h. The mass of the water i

Question

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 :

Accepted Answer

Force of surface tension balances the weight of water in capillary tube. $F_s = 2\pi r T \cos	heta = mg$. Here, $T$ and $	heta$ are constant. So, $m \propto r$. Hence, $\frac{m_2}{5.0} = \frac{2r}{r} \Rightarrow m_2 = 10.0 	ext{ g}$.

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