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Surface Tension

Water rises i...

Question

Water rises in a capillary tube a height of 2.0 cm. In another capillary tube radius is one third of it, how much the water will rise?

A

5 cm

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B

3 cm

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C

6 cm

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D

9 cm

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Solution

The correct option is C 6 cm
Given that, $h_{1} = 2.0 c m$ and $r_{2} = \frac{r_{1}}{3}$

Capillary Rise $h = \frac{2 T cos θ}{ρ g r}$
We know that,
Two capillary with same liquid:
$h_{1} r_{1} = h_{2} r_{2}$

$∴ h_{2} = \frac{r_{1}}{r_{2}} h_{1} = 2.0 \times 3 = 6.0 c m$

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