A vessel whose bottom has round holes with diameter of 1 mm is filled with water. Assuming that surface tension acts only at holes, then the maximum height to which the water can be filled in vessel without leakage is (Surface tension of water is $75 imes 10^{- 3}\ Nm^{- 1}$ and $g = 10\ ms^{- 2}$)

Question

A vessel whose bottom has round holes with diameter of 1 mm is filled with water. Assuming that surface tension acts only at holes, then the maximum height to which the water can be filled in vessel without leakage is (Surface tension of water is $75 	imes 10^{- 3}\ Nm^{- 1}$ and $g = 10\ ms^{- 2}$)

Dr. Abubacker · Accepted Answer

(a) $h\ ho\ g = \frac{2S}{r}$ or $h = \frac{2\ S}{r\ ho\ g}$
$= \frac{2 	imes 75 	imes 10^{- 3}}{\left( \frac{1}{2} 	imes 10^{- 3} ight) 	imes 10^{3} 	imes 10} = 0.03\ m = 3\ cm$

Explanation

Reviewed by Dr. Abubacker

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