The height of liquid column raised in a capillary tube of certain radius when dipped in liquid A vertically is 5 cm. [2023]

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Solution

Q.
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. [2023]

1 0.20

2 0.5

3 0.05

4 0.10

Ans.
(3)

$h = \frac{2 S \cos θ}{r ρ g}$

$∴$ $\frac{h_{1}}{h_{2}} = \frac{S_{1}}{S_{2}} \frac{ρ_{2}}{ρ_{1}}$

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

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