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=rmcos⁡θAlso, P0−2Trm+ρgh=P0⇒ h=2Trmρg=2Tcosθrρg
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