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
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]
- A
$\left|2 \mathrm{P}_0 \mathrm{Rh}+\pi \mathrm{R}^2 \rho \mathrm{gh}-2 \mathrm{RT}\right|$
- B
$\left|2 \mathrm{P}_0 \mathrm{Rh}+\mathrm{R} \rho \mathrm{gh}^2-2 \mathrm{RT}\right|$
- C
$\left|\mathrm{P}_0 \pi \mathrm{R}^2+\mathrm{R} \rho g \mathrm{~h}^2-2 \mathrm{RT}\right|$
- D
$\left|\mathrm{P}_0 \pi \mathrm{R}^2+\mathrm{R} \rho g \mathrm{~h}^2+2 \mathrm{RT}\right|$
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