Question

A capillary tube of radius R is immersed in water, which rises to a height such that the mass of the water in the capillary tube is M, if the radius of the tube is double find the new mass of water in capillary tube. (2M)

Answer 1

Dear Student,

$$\begin{gathered} asweknowtheheightofcapillaryriseisinverselyproportionaltotheradiusofcapillary. \\ letsupposeriseincapillaryisHforradiusRmassisM.M={\mathrm{\pi R}}^2\mathrm{H\rho g} \\ ifradiusisdoublethentherisewillbehalf. \\ nowmasswillbeM\text{'}=\frac{4{\mathrm{\pi R}}^2\mathrm{H\rho g}}{2}=2{\mathrm{\pi R}}^2\mathrm{H\rho g}=2M \\ thenewmasswillbe2M. \\ Regards \end{gathered}$$