Water rises to a height of 10 ,cm in a certain capillary tube. An… - Vidyadip

MCQ

Water rises to a height of $10\,cm$ in a certain capillary tube. An another identical tube when dipped in mercury the level of mercury is depressed by $3.42\,cm$. Density of mercury is $13.6\, g/cc$. The angle of contact for water in contact with glass is $0^o$ and mercury in contact with glass is $135^o$. The ratio of surface tension of water to that of $Hg$ is :-

A
$1:3$
B
$1:4$
C
$1:55$
✓
$1:6.5$

✓

Answer

Correct option: D.

$1:6.5$

d
$h=\frac{2 T \cos \theta}{r \rho g} \Rightarrow \frac{T_{w}}{T_{m}} \times 13.6 \times(-\sqrt{2})=\frac{10}{-3.42}$

$\Rightarrow \frac{T_{w}}{T_{m}} \cong \frac{1}{6.5}$

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