Two capillaries of the same material but of d | vedclass

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

Question

(C) The height $h$ to which a liquid rises in a capillary tube of radius $r$ is given by the formula $h = \frac{2T \cos 	heta}{r ho g}$.Since the m

Vedclass · Accepted Answer

$3 : 1$

Vedclass · Answer

(C) The height $h$ to which a liquid rises in a capillary tube of radius $r$ is given by the formula $h = \frac{2T \cos 	heta}{r ho g}$.Since the material of the capillaries,the liquid,and the contact angle are the same,all parameters except $h$ and $r$ are constant.Therefore,$h \propto \frac{1}{r}$,which implies $h_1 r_1 = h_2 r_2$.Given $h_1 = 22 \ cm$ and $h_2 = 66 \ cm$.We need to find the ratio of their radii,$\frac{r_1}{r_2}$.From the relation $h_1 r_1 = h_2 r_2$,we get $\frac{r_1}{r_2} = \frac{h_2}{h_1}$.Substituting the values,$\frac{r_1}{r_2} = \frac{66}{22} = \frac{3}{1}$.Thus,the ratio of their radii is $3 : 1$.

Two capillaries of the same material but of different radii are dipped in a liquid. In one of the capillaries,the liquid rises to a height of $22 \ cm$ and in the other to $66 \ cm$. The ratio of their radii is

Similar Questions

How many tripeptides can be prepared by linking the amino acids glycine,alanine and phenylalanine?

What is the membrane surrounding the heart called?

Which of the following species has no $p\pi-p\pi$ bond but has a bond order equal to $O_2$?

$f(x) = e^x \sin x$, then $f^{(6)}(x)$ is equal to :

Growth in living organisms occurs by

Vedclass Test Series

Exam Paper Generator

Online Exam Module