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Question

A right circular cylinder, open at the top, is full of water. It is rotated about the vertical axis at such a speed that half the liquid spills out. The pressure at the centre of the bottom would be


A

One half of the original magnitude when the cylinder was full

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B

One-fourth of the original magnitude when the cylinder was full

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C

Unchanged

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D

Zero

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Solution

The correct option is D

Zero





A cylinder rotating about the vertical axis has forced vortex flow. The free surface is paraboloid

Which has half the volume of cylinder of same height when half the liquid spills out, the centre of the bottom will be exposed and pressure will be zero.


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