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A long cylindrical glass vessel has a small hole of radius r at bottom The depth to whioch the vessel can be lowered vertically in the deep water bath without any water entering inside it

A long cylindrical glass vessel has a small hole of radius r at bottom The depth to whioch the vessel can be lowered vertically in the deep water bath without any water entering inside it

Grade:12

1 Answers

askiitiansexpert soumyajit_iitkanpur
8 Points
14 years ago

Water can not penetrate till the hydrostatic pressure is greater than the excess of pressure that comes into play due to surface tension. at the limiting condition when water just about to penetrates, these two pressure should be equal. That is

hρg = 2T/r

h = depth up to which cylinder is immersed.

ρ = density of water

T = surface tension of water

Hence h = 2T/(ρgr)

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