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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

`(2sigma)/((r_(2)-r_(1))rhog)`

B

`(sigma)/((r_(2)-r_(1))rhog)`

C

`(2sigma)/((r_(2)+r_(1))rhog)`

D

`(2sigma)/((r_(2)^(2)+r_(1)^(2))rhog)`

Text Solution

Verified by Experts

The correct Answer is:
A
`"Total upward force"="Weight of liquid column."`
`T(2pir_(1)+2pir_(2))=(pir_(2)^(2)h-pir_(1)^(2)h)rhog rArr h=(2T)/((r_(2)-r_(1))rhog)`
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