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JEE Advance2007
Paper-2
Question
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 $\mathrm{P}_0$. Consider a vertical section ABCD 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
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Select the correct option:
A
$\left|2 \mathrm{P}_0 \mathrm{Rh}+\pi \mathrm{R}^2 \rho \mathrm{gh}-2 \mathrm{RT}\right|$
B
$\left|2 \mathrm{P}_0 \mathrm{Rh}+\mathrm{R} \mathrm{gh}^2-2 \mathrm{RT}\right|$
C
$\left|\mathrm{P}_0 \pi \mathrm{R}^2+\mathrm{R} \rho g h^2-2 \mathrm{RT}\right|$
D
$\left|\mathrm{P}_0 \pi \mathrm{R}^2+\mathrm{R}^2 g \mathrm{~h}^2+2 \mathrm{RT}\right|$
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
Solution
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JEE Advance
Physics
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