Discussion
Assertion (A): Relative vorticity is conserved for frictionless barotropic non-divergent flow.
Reason (R): The vorticity equation reduces to a statement of conservation under those conditions.
Select the correct answer from the options below.
Answer: C
The reason is correct but the conserved quantity is the absolute vorticity, not the relative vorticity, because a parcel changing latitude exchanges relative for planetary vorticity. That exchange is precisely the beta effect and the mechanism of Rossby waves. The assertion would be true only on an f-plane where the planetary contribution is fixed, which is a special case rather than the general result.
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