In a capillary tube, water rises to $3$ mm the height of water that will rise in another capillary tube having one-third radius of the first is?

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Solution

The correct option is D $9$ mm
The narrower the tube, the higher is the rise in water.

When a glass capillary

$h = \frac{2 T cos θ}{R p g}$

$h \propto \frac{1}{R}$

$\frac{h_{1}}{h_{2}} = \frac{R_{2}}{R_{1}}$

$\frac{3}{h_{2}} = \frac{1}{3}$

$h_{2} = 9$ mm

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In a capillary tube, water rises to 3mm the height of water that will rise in another capillary tube having one-third radius of the first is?

The correct option is D 9mmThe narrower the tube, the higher is the rise in water.When a glass capillaryh=2TcosθRpgh∝1Rh1h2=R2R13h2=13h2=9mm

In a capillary tube, water rises to $3$ mm the height of water that will rise in another capillary tube having one-third radius of the first is?

The correct option is D $9$ mm
The narrower the tube, the higher is the rise in water.

When a glass capillary

$h = \frac{2 T cos θ}{R p g}$

$h \propto \frac{1}{R}$

$\frac{h_{1}}{h_{2}} = \frac{R_{2}}{R_{1}}$

$\frac{3}{h_{2}} = \frac{1}{3}$

$h_{2} = 9$ mm