Mechanical Properties Of Fluids Question 6

Question 6 - 30 January - Shift 1

The height of liquid column raised in a capillary tube of certain radius when dipped in liquid A vertically is, $5 cm$. If the tube is dipped in a similar manner in another liquid B of surface tension and density double the values of liquid $A$, the height of liquid column raised in liquid $B$ would be $m$.

(1) 0.20

(2) 0.5

(3) 0.05

(4) 0.10

Show Answer

Answer: (3)

Solution:

Formula: Capillary Rise

$h=\frac{2 S \cos \theta}{r \rho g}$

$\therefore \quad \frac{h_1}{h_2}=\frac{S_1}{S_2} \frac{\rho_2}{\rho_1}$

$\frac{5}{h_2}=[\frac{1}{2}][\frac{2}{1}] \Rightarrow h_2=5 cm=0.05 m$

{Info about angle of contact not there so most