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)

Options

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)`

Explanation

Total upward force `=` wieght of liquid column.
`T(2pir_(1)+2pir_(2))=(pir_(2)^(2)h-pir_(1)^(2)h)rhogimpliesh=(2T)/((r_(2)-r_(1))rhog)`