A liquid is contained in a vertical tube of a semi-circular cross section as shown. If angle contact is zero, the forces of surface tension on the curved part and on the part are in ratio

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Solution

Let height of liquid - filled column be L
Let radius denoted R
Total perimeter of curved part = $π r$
Total surface tension force = $π R S$
Total perimeter of that part = $2 R$
Total surface tension force = $2 R S$
$∴$ Ratio of curved surface to flat surface in
$| = \frac{π R S}{2 R S} = π / 2$

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A liquid is contained in a vertical tube of a semi-circular cross section as shown. If angle contact is zero, the forces of surface tension on the curved part and on the part are in ratio

Let height of liquid - filled column be LLet radius denoted RTotal perimeter of curved part = πrTotal surface tension force = πRSTotal perimeter of that part = 2RTotal surface tension force = 2RS∴ Ratio of curved surface to flat surface in|=πRS2RS=π/2