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Discussion

Consider the following statements about stability.

1. A negative squared buoyancy frequency indicates instability.

2. The Richardson number below one quarter permits shear instability.

3. Symmetric instability requires a vertical displacement.

Which of the statements given above is or are correct?

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

Answer: B

The first two statements are correct, but symmetric instability involves a slanted displacement along a path between the isentropes and the absolute momentum surfaces. A purely vertical displacement would find the layer stable. That slanted geometry is exactly what distinguishes it from ordinary convection and is why it was recognised comparatively late. Framing the question as which quantity the change acts upon makes the answer follow without calculation.

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