A vessel whose bottom has a round hole with diameter 0.1 mm is filled with water. The maximum height up to which water can be filled without leakage is ............. cm (given surface tension =7.5×10−2Nm−1 and g=10ms−2
30 cm
Self-weight of water column is to be balanced with force due to the surface tension.
T(2πr)=mgT(2πr)=ρvgT(2πr)=ρAhgh=T(2πr)ρAg; h=2Tρrg