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A beaker of radius r is filled with w...

A beaker of radius r is filled with water (refractive index `(4)/(3)`) up to a height H as shown in the figure on the left. The beaker is kept on a horizontal table rotating with angular speed `omega`. This makes the water surface curved so that the difference in the height of water level at the centre and the circumference of the beaker is h `(h lt lt H, h lt lt r)` as shown in the figure on the right . Take this surface to be approximately spherical with a radius of curvalture R . Which of the following is/are correct ? (g is acceleration due to gravity)

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