Water is filled up to a height \( h \) in a beaker of radius \( \mathrm{R} \) as shown in the fi...
Water is filled up to a height \( h \) in a beaker of radius \( \mathrm{R} \) 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-JEE 2007]
(a) \( \left|2 P_{0} R h+\pi R^{2} \rho g h-2 R T\right| \)
(b) \( \left|2 P_{0} R h+R \rho g h^{2}-2 R T\right| \)
(c) \( \left|P_{0} \pi R^{2}+R \rho g h^{2}-2 R T\right| \)
(d) \( \left|P_{0} \pi R^{2}+R \rho g h^{2}+2 R T\right| \)
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