Q.
A conical capillary tube as shown in figure is submerged in a liquid. Contact angle between the liquid and capillary is 0° and the weight of liquid inside the meniscus is to be neglected. T is surface tension of the liquid, rm is radius of the meniscus, g is acceleration due to gravity and ρ is density of the liquid. Semi-vertex angle of conical tube is θ
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a
The height h in equilibrium is 2Trρg
b
The height h in equilibrium is 2Tcosθrρg
c
The radius of conical tube at the level where meniscus is formed is almost equal to rmcosθ
d
The radius of conical tube at the level where meniscus is formed is almost equal to r/cosθ
answer is B.
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Detailed Solution
r=rmcosθAlso, P0−2Trm+ρgh=P0⇒ h=2Trmρg=2Tcosθrρg
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