Two capillary tubes of same diameter are put | vedclass

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

Question

(D) The height of a liquid column in a capillary tube is given by the formula: $h = \frac{2T \cos 	heta}{rdg}$.Since the diameter $(r)$,contact angle

Vedclass · Accepted Answer

$\frac{9}{10}$

Vedclass · Answer

(D) The height of a liquid column in a capillary tube is given by the formula: $h = \frac{2T \cos 	heta}{rdg}$.Since the diameter $(r)$,contact angle $(	heta)$,and acceleration due to gravity $(g)$ are constant for both tubes,the height is proportional to the surface tension $(T)$ and inversely proportional to the density $(d)$: $h \propto \frac{T}{d}$.Therefore,the ratio of the heights is given by: $\frac{h_1}{h_2} = \frac{T_1}{T_2} 	imes \frac{d_2}{d_1}$.Given values are $T_1 = 60 	ext{ dyne/cm}$,$T_2 = 50 	ext{ dyne/cm}$,$d_1 = 0.8$,and $d_2 = 0.6$.Substituting these values: $\frac{h_1}{h_2} = \frac{60}{50} 	imes \frac{0.6}{0.8} = \frac{6}{5} 	imes \frac{6}{8} = \frac{36}{40} = \frac{9}{10}$.

Two capillary tubes of same diameter are put vertically one each in two liquids whose relative densities are $0.8$ and $0.6$ and surface tensions are $60$ and $50 \text{ dyne/cm}$ respectively. The ratio of the heights of the liquids in the two tubes $\frac{h_1}{h_2}$ is:

Similar Questions

If the diameter of a capillary tube is doubled,then the height of the liquid that will rise is

The correct curve between the height or depression $h$ of liquid in a capillary tube and its radius $r$ is

Two parallel glass plates are dipped partly in a liquid of density $d$ while keeping them vertical. If the distance between the plates is $x$, the surface tension of the liquid is $T$, and the angle of contact is $\theta$, then the rise of the liquid between the plates due to capillarity will be:

When a capillary tube is dipped in water,it rises up to $8 \ cm$ in the tube. What happens when the tube is pushed down such that its end is only $5 \ cm$ above the outside water level?

In a capillary tube having area of cross-section $A$,the water rises to a height $h$. If the cross-sectional area is reduced to $\frac{A}{9}$,the rise of water in the capillary tube is

Vedclass Test Series

Exam Paper Generator

Online Exam Module