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A glass capillary tube is of shape of a ...

A glass capillary tube is of shape of a truncated cone with an apex angle `alpha` so that its two ends have cross section of different radii. When dipped in water vertically ,water rises in it to a height H,where the radius of its cross section is B.If the surface tension of water is S, its density is `rho`, and its contact angle with glass is `theta` ,the value of H will be (g is the acceleration due to gravity)

A

`(2S)/(b rhog)cos(theta-alpha)`

B

`(2S)/(b rho g)cos (theta+alpha)`

C

`(2S)/(b rhog)cos(theta-(alpha)/(2))`

D

`(2S)/(b rho g)cos (theta+(alpha)/(2))`

Text Solution

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The correct Answer is:
D
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