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Consider the following statements about QG potential vorticity.

1. It is advected by the geostrophic wind.

2. It is a linear function of the geopotential.

3. It includes a contribution from the vertical velocity.

Which of the statements given above is or are correct?

  • A.1 and 2 only
  • B.1 and 3 only
  • C.2 and 3 only
  • D.1, 2 and 3

Answer: A

The first two statements are correct. The vertical velocity does not appear in the definition of quasi-geostrophic potential vorticity at all: it enters the vorticity and thermodynamic equations separately and cancels when they are combined. That cancellation is precisely what makes the potential vorticity a conserved quantity following the geostrophic flow.

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