A long cylindrical glass vessel has a smaller hole of radius 'r' at its bottom. The depth to which the vessel can be lowered vertically in the deep water bath (surface tension T ) without any water entering inside is

Question

A long cylindrical glass vessel has a smaller hole of radius 'r' at its bottom. The depth to which the vessel can be lowered vertically in the deep water bath (surface tension T ) without any water entering inside is (A) 4T/ρ rg (B) 3T/ρ rg (C) 2T/ρ rg (D) T/ρ rg

Tardigrade Admin · Accepted Answer

ρ gh=(2 T/r)⇒ h=(2 T/ρ r g)

Q. A long cylindrical glass vessel has a smaller hole of radius $^{'} r^{'}$ at its bottom. The depth to which the vessel can be lowered vertically in the deep water bath (surface tension $T$ ) without any water entering inside is

$4 T / ρ r g$

$3 T / ρ r g$

$2 T / ρ r g$

$T / ρ r g$

$ρ g h = \frac{2 T}{r} \Rightarrow h = \frac{2 T}{ρ r g}$

Q. A long cylindrical glass vessel has a smaller hole of radius ′r′ at its bottom. The depth to which the vessel can be lowered vertically in the deep water bath (surface tension T ) without any water entering inside is

4T/ρrg

3T/ρrg

2T/ρrg

T/ρrg