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Standard XII

Physics

Thermal Expansion

The height of...

Question

The height of water in a capillary tube of radius $2 c m$ is $4 c m$ . What should be the radius of capillary, if the water rises to $8 c m$ in tube?

1 c m

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0.1 c m

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2 c m

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4 c m

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Solution

The correct option is A $1 c m$
It is to be remembered that
height of a capillary rise $\propto \frac{1}{r a d i u s o f c a p i l l a r y}$
hence,
$\frac{h_{1}}{h_{2}} = \frac{r_{2}}{r_{1}}$
$\frac{4}{8} = \frac{r_{2}}{2} \Rightarrow r_{2} = 1 c m$

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The height of water in a capillary tube of radius 2cm is 4cm. What should be the radius of capillary, if the water rises to 8cm in tube?

The correct option is A 1cmIt is to be remembered thatheight of a capillary rise ∝1radiusofcapillaryhence, h1h2=r2r1 48=r22⇒r2=1cm

The height of water in a capillary tube of radius $2 c m$ is $4 c m$ . What should be the radius of capillary, if the water rises to $8 c m$ in tube?

The correct option is A $1 c m$
It is to be remembered that
height of a capillary rise $\propto \frac{1}{r a d i u s o f c a p i l l a r y}$
hence,
$\frac{h_{1}}{h_{2}} = \frac{r_{2}}{r_{1}}$
$\frac{4}{8} = \frac{r_{2}}{2} \Rightarrow r_{2} = 1 c m$