The discussion revolves around a physics problem involving a cylindrical vessel with a small hole submerged in a liquid. The problem seeks to determine the maximum depth at which the vessel can be dipped before liquid enters through the hole, considering factors such as surface tension and liquid density.
The discussion is ongoing, with some participants expressing agreement with the provided answer while others are questioning the reasoning and dimensional analysis involved. There is a clear exploration of the underlying concepts and assumptions.
Participants are focusing on the implications of surface tension and the physical setup of the problem, with particular attention to the dimensions of the variables involved. There is an indication of confusion regarding the mathematical formulation presented in the text.
dk_ch said:An empty cylindrical vessel with a small circular hole of radius r at the bottom is dipped vertically in a liquid of density d keeping the bottom downward. At what maximum depth can it be dipped before the liquid enters into it? The surface tension of the liquid is S. The answer given in the text is √(2S/rdg). Is the answer correct?
sankalpmittal said:It seems correct to me.
dk_ch said:Sir will u please explain How?
How does square root arise here?