Q. A vessel, whose bottom has round holes with diameter 0.1 mm is filled with water. The maximum height upto which water can be filled without leakage is (Surface tension = $75\ dyne\ cm^{- 1}$ and $g = 1000\ cms^{- 2}$)

A) 100 cm
B) 75 cm
C) 60 cm
D) 30 cm
Explanation

(d) $h\rho g = \frac{2S}{r}$ or $h = \frac{2S}{r\rho g}$
$= \frac{2 \times 75}{0.005 \times 1 \times 1000} = 30\ cm$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.