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Which quantity sets the vertical reach of a potential vorticity anomaly?

  • A.The distance between the anomaly and the nearest boundary of the domain being considered in the analysis
  • B.The horizontal scale times the ratio of f to the buoyancy frequency
  • C.The depth of the layer within which the anomaly was originally generated by the diabatic heating
  • D.The wind speed

Answer: B

The Rossby depth scale, equal to the horizontal scale multiplied by \( f/N \), determines how far the induced circulation penetrates. A larger anomaly therefore reaches further, and a more strongly stratified atmosphere confines it more closely. This is the vertical counterpart of the deformation radius and gives a clean physical criterion for whether an upper anomaly can interact with the surface at all.

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