First slide

Surface tension

Question

An open capillary tube is lowered in a vessel with mercury. The difference between the levels of the mercury in the vessel and in the capillary tube $∆ h = 4.6 mm$ . What is the radius of curvature of the mercury meniscus in the capillary tube? Surface tension of mercury is 0.46 N/m, density of mercury is 13.6 gm/cc.

Moderate

A

$\frac{1}{340} m$
B

$\frac{1}{680} m$
C

$\frac{1}{1020} m$
D

Information insufficient

Solution

$∆ h = \frac{2 S \cos θ}{rρg} = \frac{2 S}{Rρg} \Rightarrow R = \frac{2 S}{∆ hρg} = \frac{2 \times 0.46}{4.6 \times 10^{- 3} \times 13.6 \times 10^{3} \times 10} = \frac{1}{680} m$

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