A vessel, whose bottom has round holes with diameter 0.1mm, is filled with water. The maximum height up to which water can be filled without leakage is
A
100cm
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B
75cm
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C
50cm
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D
30cm
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Solution
The correct option is D30cm For equilibrium, Total upward force by surface tension = Weight of the water in tube ⇒π×D× surface tension (circumference) =π(D/2)2×h×density×g (cross section) where D(diameter)=0.1mm=0.01cm Density of water =1×10−3g/cm3 ⇒π×(0.01)×75×10−3 =π×(0.012)2×h×1×10−3×1000 ∴h=0.75×0.01×40.01×0.01=0.3m=30cm.