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A cylindrical vessel of cross - section A contains water to a height h.There is a hole in the bottom of radius ' a ' .The time in which it will be emptied is :

$(a)\;\large\frac{2A}{\pi a^{2}} \sqrt{\large\frac{h}{g}}\qquad(b)\;\large\frac{\sqrt{2}A}{\pi a^{2}} \sqrt{\large\frac{h}{g}}\qquad(c)\;\large\frac{2 \sqrt{2}A}{\pi a^{2}} \sqrt{\large\frac{h}{g}}\qquad(d)\;\large\frac{A}{\sqrt{2} \pi a^{2}} \sqrt{\large\frac{h}{g}}$

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