A vessel, whose bottom has round holes with diameter of 0.1 mm, is filled with water. The maximum height to which the water can be filled without leakage is-
(S.T of water $=75dyne/cm,g=1000cm/s^2$)

The correct option is D 30 cm
The water can be filled upto a height such that capillary rise does not take place within the holes.

The expression is given by, $H=\frac{2Tcos\theta }{\rho gr}$

Substituting the values of the quantities,

T = 0.075 N/m

$\theta =0$

$\rho ={10}^3$

g = 10

R = $0.05\times {10}^{-3}m$

Evaluating the expression, gives us H = 0.3 m or 30 cm