The radius of a capillary tube is 2 times 10^ | vedclass

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

Question

(B) The weight of the liquid column supported in the capillary is balanced by the upward force due to surface tension along the circumference of the t

Vedclass · Accepted Answer

$5 	imes 10^{-2} \ N/m$

Vedclass · Answer

(B) The weight of the liquid column supported in the capillary is balanced by the upward force due to surface tension along the circumference of the tube.The force due to surface tension is given by $F = T 	imes (2\pi r)$,where $T$ is the surface tension and $r$ is the radius of the capillary.Given: Weight $W = F = 6.28 	imes 10^{-4} \ N$,radius $r = 2 	imes 10^{-3} \ m$,and $\pi \approx 3.14$.Rearranging the formula for surface tension: $T = \frac{F}{2\pi r}$.Substituting the values: $T = \frac{6.28 	imes 10^{-4}}{2 	imes 3.14 	imes 2 	imes 10^{-3}}$.$T = \frac{6.28 	imes 10^{-4}}{12.56 	imes 10^{-3}} = \frac{6.28}{12.56} 	imes 10^{-1} = 0.5 	imes 10^{-1} = 5 	imes 10^{-2} \ N/m$.Thus,the correct option is $B$.

The radius of a capillary tube is $2 \times 10^{-3} \ m$. If a liquid of weight $6.28 \times 10^{-4} \ N$ can be supported in the capillary,what is the surface tension of the liquid?

Similar Questions

$A$ capillary tube is immersed vertically in water and the height of the water column is $x$. When this arrangement is taken into a mine of depth $d$,the height of the water column is $y$. If $R$ is the radius of earth,the ratio $\frac{x}{y}$ is

Two capillary tubes made of the same material are dipped in the same liquid. If the heights of the liquid in the tubes are $2.2 \ cm$ and $6.6 \ cm$ respectively,what is the ratio of their radii?

Which of the following statements is false?

When a capillary is dipped in water,water rises $0.015 \ m$ in it. If the surface tension of water is $75 \times 10^{-3} \ N/m$,the radius of the capillary is ....... $mm$.

The radii of the two columns in a $U$ tube are $r_1$ and $r_2$. When a liquid of density $\rho$ (angle of contact is $0^o$) is filled in it,the level difference of liquid in the two arms is $h$. The surface tension of the liquid is ($g =$ acceleration due to gravity):

Vedclass Test Series

Exam Paper Generator

Online Exam Module