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

Options

A. `|2P_0 RH+piR^2rhogh-2RT|`
B. `|2P_0 Rgh+Rrhogh^2+2RT|`
C. `|P_0 piR^2+Rrhogh^2-2RT|`
D. `|P_0 piR^2+Rrhogh^2+2RT|`

Answer

B

Explanation

(b) `The force is [(P_0+(hrhog)/2)xx(2Rxxh)]-2RT`

In the first part the force is created due to
pressure and in the second part the force is due to
surface tension T.
`:. Force=2P_0Rh+Rrhogh^2-2RT`