A large vessel having a very small circular hole of diameter 1 mm at the bottom is filled with water. Up to what maximum height (in cm) water can be filled in the vessel so that there is no leakage? [surface tension of water `7.5 xx 10 ^(-2) Nm ^(-1) and g = 10 ms ^(-2)`]

Answer

3

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 .
Using the relation,`h = (2T)/( 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`