The radii of the two column is U-tube are `r_(1)` and `r_(2)(gtr_(1))`. When a liquid of density `rho` (angle of contact is `0^@))` is filled in it, the level different of liquid in two arms is h. The surface tension of liquid is
`(g=` acceleration due to gravity)

Options

A. `(rho g hr_(1)r_(2))/(2(r_(2)-r_(1)))`
B. `(rho g h(r_(1)r_(2)))/(2r_(2)-r_(1))`
C. `(2(r_(1)r_(2)))/(rho gh r_(2)-r_(1))`
D. `(rho g h)/(2(r_(2)-r_(1)))`

Answer

A

Explanation

`p_(1)-p_(2)`

`p_(0)-(2T)/(r_1)+rho gh =p_(0)-(2T)/(r_2)`
`:. T+(rho gh r_(1)r_(2))/(2(r_(2)-r_(1))` .