The height of liquid column raised in a capillary tube of certain… - Vidyadip

MCQ

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 $........m$.

A
$0.20$
B
$0.5$
✓
$0.05$
D
$0.10$

✓

Answer

Correct option: C.

$0.05$

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

$\frac{ h _1}{ h _2}=\frac{ S _1}{ S _2} \frac{\rho_2}{\rho_1}$

$\frac{5}{ h _2}=\left[\frac{1}{2}\right]\left[\frac{2}{1}\right] \Rightarrow h _2=5\,cm =0.05\,m$

Info about angle of contact not there so most appropriate is $3$

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