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 (given surface tension of water is `75xx10^(-3)N//m)` and `g=10m//s^(2)`

Options

A. `0.3 cm`
B. 3 mm
C. 3 cm
D. 3m

Answer

C

Explanation

Water will not leak out from the hole if the weight of water in the water column is supported by the force due to surface tension.
`h = (2S)/(r rho g) = (2 xx 7.5 xx 10^(-2))/(0.5 xx 10^(-3) xx 10^(3) xx 10)`
`= 3 xx 10^(-2)m = 3 cm`