1. Tardigrade
  2. Question
  3. Physics
  4. A vessel, whose bottom has round holes with diameter 0.1 mm, is filled with water. The maximum height up to which water can be filled without leakage is (Surface tension of water = 75 dyne cm-1 and g = 1000 cm s-2)

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

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

UP CPMTUP CPMT 2013

Solution:

As $\frac{2T}{R}=\rho gh$,
$h=\frac{2T}{R\rho g}=\frac{4T}{D\rho g}$
$=\frac{4\times75}{0.1\times10^{-1}\times10^{3}}$
($\because R=D/2$ and $\rho=1g/$per $cc$)
or $h=30\,cm$