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A glass rod of radius r(1) is inserted s...

A glass rod of radius `r_(1)` is inserted symmetrically into a vertical capillary tube of radius `r_(2)` such that their lower ends are at the same level. The arrangement is now dipped in water. The height to which water will rise into the tube will be (`sigma =` surface tension of water, `rho = ` density of water)

A

`(T)/((R+r)pg)`

B

`(Rpg)/(2T)`

C

`(2T)/((R-r)pg)`

D

`((R-r)pg)/(T)`

Text Solution

Verified by Experts

The correct Answer is:
C
`2Tcostheta=hpgR`
`h=(2T)/(pgr)=(2T)/((R-r)pg)`
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