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 pressure is $P_0$. Consider a vertical section $A B C D$ of the water column through a diameter of the beaker. The force on water on one side of this section by water on the other side of this section has magnitude
IIT 2007,IIT 2006, Advanced
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$ \int_0^h\left(P_0+\rho g x\right) 2 R d x-2 R T=F $
$ 2 P_0 R h+R \rho g h^2-2 R T=F$
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