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 =75 dyne/cm , g=1000 cm/s)

Options

A. 30 cm
B. 50 cm
C. 75 cm
D. 100 cm

Answer

A

Explanation

` T = (rhdg)/(2 cos theta) " for water" theta = 0^(@) and cos theta =1`
` :. h = (2T)/(rdg)" " T = 75 ` dyne/cm, d = 1 gram/c c
` r = (0.1mm)/2 = 0.05 mm = 0.05 xx 10^(-1) cm = 5 xx 10^(-3) ` cm
` :. h = (2xx75)/(5xx10^(-3)xx1 xx 10^(-3)) = 30 cm `