Question

A capillary tube of radius r is immersed in water and water rises in it to a height H. Mass of water in the capillary tube is m. If the capillary of radius 2r is taken and dipped in water, the mass of water that will rise in the capillary tube will be

• A. m
• B. 2m
• C. m/2
• D. 4m

Answer 1

The Correct Option is B

$ \frac{mg}{A}=\frac{2T}{R} $ $ \Rightarrow $ $ \frac{mg}{\pi {{r}^{2}}}=\frac{2T\cos \theta }{r} $ $ \Rightarrow $ $ \frac{m}{r}=\frac{2\pi T\cos \theta }{g}=cons\tan t $ $ \Rightarrow $ $ \frac{m}{r}=\frac{m'}{2r} $ $ \Rightarrow $ $ m'=2m $