Question 7

A beaker of radius 𝑟 is filled with water (refractive index $$\frac{4}{3}$$) 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 center and at the circumference of the beaker is $$h(h \ll H, h \ll r)$$, as shown in the figure on the right. Take this surface to be approximately spherical with a radius of curvature 𝑅. Which of the following is/are correct? (g is the acceleration due to gravity)

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