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Standard IX

Physics

Capillary Action

Two capillari...

Question

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

7.5 cm

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60 cm

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15 cm

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120 cm

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Solution

The correct option is C
15 cm

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

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

The correct option is C 15 cm h2h1=r1r2=12⇒h2=302=15 cm

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

The correct option is C
15 cm

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