A cylinder of radius \( \mathrm{R} \) and height \( \mathrm{H} \) i...

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A cylinder of radius \( \mathrm{R} \) and height \( \mathrm{H} \) is filled with a liquid to an unknown height \( \mathrm{h} \) when it is rotated at an unknown constant angular velocity
\( \mathrm{P} \) \( \omega \), the base of the cylinder gets exposed when
\( \mathrm{W} \) the liquid just starts spilling out as shown. Find angular speed \( \omega \) of cylinder :-
(1) \( \frac{\sqrt{g H}}{R} \)
(2) \( \frac{\sqrt{2 \mathrm{gH}}}{\mathrm{R}} \)
(3) \( \frac{2 \sqrt{\mathrm{gH}}}{\mathrm{R}} \)
(4) None of these
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