When a long glass capillary tube of radius 0. | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) The formula for capillary rise is given by $h = \frac{2S \cos 	heta}{ho gr}$.Rearranging for surface tension $S$,we get $S = \frac{ho grh}{2

Vedclass · Accepted Answer

$101$

Vedclass · Answer

(C) The formula for capillary rise is given by $h = \frac{2S \cos 	heta}{ho gr}$.Rearranging for surface tension $S$,we get $S = \frac{ho grh}{2 \cos 	heta}$.Given values:Radius $r = 0.015 \; cm = 1.5 	imes 10^{-4} \; m$.Height $h = 15 \; cm = 0.15 \; m$.Density $ho = 900 \; kg \; m^{-3}$.Acceleration due to gravity $g = 10 \; ms^{-2}$.Contact angle $	heta = 0^{\circ}$,so $\cos 	heta = 1$.Substituting the values:$S = \frac{900 	imes 10 	imes 0.15 	imes 1.5 	imes 10^{-4}}{2 	imes 1}$$S = \frac{9000 	imes 0.225 	imes 10^{-4}}{2}$$S = \frac{2025 	imes 10^{-4}}{2} = 1012.5 	imes 10^{-4} \; N/m$.Converting to $mN/m$ $(1 \; N/m = 1000 \; mN/m)$:$S = 1012.5 	imes 10^{-4} 	imes 10^3 \; mN/m = 101.25 \; mN/m$.The closest integer is $101$.

Similar Questions

Water rises up to a height $h$ in a capillary tube immersed vertically in water. When this whole arrangement is taken to a depth $d$ in a mine,the water level rises up to a height $h^{\prime}$. If $R$ is the radius of the earth,then the ratio $\frac{h}{h^{\prime}}$ is

Two capillary tubes of radii $0.2 \ cm$ and $0.4 \ cm$ are dipped in the same liquid. The ratio of the heights to which the liquid will rise in the tubes is:

In a capillary,the pressure below the curved surface of water will be:

Water rises to a height of $16.3 \, cm$ in a capillary tube of height $18 \, cm$ above the water level. If the tube is cut at a height of $12 \, cm$ above the water level,then:

Water rises to a height of $10 \,cm$ in a capillary tube. In which of the following conditions will it rise to a height much greater than $10 \,cm$ in a very long capillary tube?

Vedclass Test Series

Exam Paper Generator

Online Exam Module