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Standard XII

Physics

Pascal's Law

Two capillari...

Question

Two capillaries made of the same material with radii $r_{1} = 1 m m$ and $r_{2} = 2 m m$ . The rise of the liquid in one capillary ( $r_{1} = 1 m m$ ) is $30 c m$ , then the rise in the other will be

7.5 c m

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60 c m

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15 c m

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120 c m

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Solution

The correct option is C $15 c m$
As we know,

$\frac{h_{2}}{h_{1}} = \frac{r_{1}}{r_{2}} = \frac{1}{2}$
$\Rightarrow h_{2} = \frac{30}{2} = 15 c m$

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Two capillaries made of the same material with radii r1=1 mm and r2=2 mm. The rise of the liquid in one capillary (r1=1 mm) is 30 cm, then the rise in the other will be

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Two capillaries made of the same material with radii $r_{1} = 1 m m$ and $r_{2} = 2 m m$ . The rise of the liquid in one capillary ( $r_{1} = 1 m m$ ) is $30 c m$ , then the rise in the other will be

The correct option is C $15 c m$
As we know,

$\frac{h_{2}}{h_{1}} = \frac{r_{1}}{r_{2}} = \frac{1}{2}$
$\Rightarrow h_{2} = \frac{30}{2} = 15 c m$