Water is filled up to a height h in a beaker of radius `R` as shown in the figure. The density of water is `rho`, the surface tension of water is `T` and the atmospheric presure is `p_(0)`. Consider a vertical section `ABCD `of the water on one side of this section by water on the other side of this section has magnitude

(a) `|2p_(0)Rh+pi R^(2)rho gh-2 RT|`
(b)`|2p_(0)Rh+R rho gh^(2)=2RT|`
(c ) `|p_(0)(pi) R^(2)+R rho gh^(2)-2RT|`
(d) `|p_(0)pi R^(2)+R rho gh^(2)+2RT|`.

Explanation

Force from right hand side liquid on left hand side liquid.
(i) Due to surface tension force`=2RT`(towards right)
(ii) Due to liquid pressure force `=int_(x=0)^(x=h)(p_(0)+rho gx)(2R.dx)`
`=(2 p_(0)Rh+R rho gh^(2))`(toward left)
`:.` Net force is `|2p_(0)Rh+R rho gh^(2)=2RT|` (towards left)
`:.` The correct option is (b)