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NEET UG PHYSICS MCQ: MECHANICAL PROPERTIES OF FLUIDS

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A cylindrical vessel filled with water upto a height hh weighs ww and is resting on a horizontal plane. The side of wall of the vessel has a plugged circular hole touching the bottom. The coefficient of friction between the bottom of the vessel and the plane is μ\mu. The minimum diameter of the hole so that the vessel just begins to move on the floor after the removal of the plug is:
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Correct option: D
2μwπρhg\sqrt{\frac{2 \mu w}{\pi \rho h g}}
Option D (2μwπρhg\sqrt{\frac{2 \mu w}{\pi \rho h g}}) is correct because it equates the frictional force with the thrust force due to the water exiting the hole, considering the weight of the water and the height.

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