If one end of capilary tubes is dipped into water then water rises up to 3cm. If the surface tension of water is $75 \times 10^{- 3} N / m$ then the diameter of capillary will be :-

0.1 mm

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0.5 mm

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1 mm

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2 mm

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Solution

The correct option is C 1 mm
The capillary rise in a tube is given by the expression,

$H = \frac{2 T c o s θ}{ρ g r}$

Given, T = 0.075 N/m

H = 0.03 m

$ρ = 1000 k g / m^{3}$

$g = 10 m / s^{2}$
$θ = 0$ for water

Substituting the values in the equation, $r = 0.5$ mm

Therefore the diameter of the tube is $2 r = 1$ mm

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If one end of capilary tubes is dipped into water then water rises up to 3cm. If the surface tension of water is 75×10−3N/m then the diameter of capillary will be :-

The correct option is C 1 mmThe capillary rise in a tube is given by the expression,H=2TcosθρgrGiven, T = 0.075 N/mH = 0.03 mρ=1000kg/m3g=10 m/s2 θ=0 for waterSubstituting the values in the equation, r=0.5mmTherefore the diameter of the tube is 2r=1 mm

If one end of capilary tubes is dipped into water then water rises up to 3cm. If the surface tension of water is $75 \times 10^{- 3} N / m$ then the diameter of capillary will be :-