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Question

A long capillary tube of radius $$1 mm$$, open at both ends is filled with water and placed vertically. What will be the height of water column left in the capillary ? (Surface tension of water is $$73.5 \times 10^{-3} N.m^{-1}$$)


A
0.3cm
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B
3cm
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C
6cm
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D
0.03cm
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Solution

The correct option is C $$3cm$$
$$\text{Remaining weight water = force due to surface tension.}$$
$$\pi r^2h\rho g=2\times 2\pi r\cos\theta $$
$$h=0.03\ \text{m}=3\ \text{cm}$$

Physics

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