A liquid is at rest in a container rotating with constant angular speed ω about a vertical axis. Which statements are correct?

Select all that apply

• Option A

  The free surface is a paraboloid

• Option B

  At the same height, pressure increases with radial distance from the axis

• Option C

  The height difference between radii r₁ and r₂ is ω²(r₂²-r₁²)/(2g)

• Option D

  Pressure is independent of radial coordinate at a fixed height