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A right circular cylinder is filled with a liquid upto its top level. It isrotated about its vertical axis at such a speed that halt the liquid spillsout then the pressure at the point of intersection of the axis and bottom surface is:  
  • a)
    Same as before rotation
  • b)
    Half of the value before rotation
  • c)
    Quarter of the value before rotation
  • d)
    Equal to the atmospheric pressure
Correct answer is option 'D'. Can you explain this answer?
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A right circular cylinder is filled with a liquid upto its top level. ...
Ans. (d)
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A right circular cylinder is filled with a liquid upto its top level. ...

Explanation:

Before Rotation:
- Before rotation, the liquid in the right circular cylinder exerts a pressure on the bottom surface and the walls of the cylinder. This pressure is due to the weight of the liquid and is equal at all points at the same level.

During Rotation:
- When the cylinder is rotated about its vertical axis at such a speed that half the liquid spills out, the liquid moves towards the outer wall due to centrifugal force.
- At the point of intersection of the axis and the bottom surface, the pressure decreases because the weight of the liquid that was exerting pressure is reduced due to the spillage.

Pressure at the Point of Intersection:
- The pressure at the point of intersection of the axis and the bottom surface is now equal to the atmospheric pressure. This is because the weight of the liquid that was exerting pressure has decreased, and the pressure is now balanced by the atmospheric pressure pushing down on the surface.

Therefore, the correct answer is option 'D' - Equal to the atmospheric pressure.
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A right circular cylinder is filled with a liquid upto its top level. It isrotated about its vertical axis at such a speed that halt the liquid spillsout then the pressure at the point of intersection of the axis and bottom surface is:a)Same as before rotationb)Half of the value before rotationc)Quarter of the value before rotationd)Equal to the atmospheric pressureCorrect answer is option 'D'. Can you explain this answer?
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