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Assertion (A): There is no dynamical limit on how deep a low pressure centre may become.

Reason (R): The gradient wind equation has a real solution for cyclonic curvature at any pressure gradient.

Select the correct answer from the options below.

  • A.A is true but R is false
  • B.A is false but R is true
  • C.Both A and R are true, and R is the correct explanation of A
  • D.Both A and R are true, but R is not the correct explanation of A

Answer: C

The quadratic gradient wind equation always yields a real root for cyclonic curvature, whereas for anticyclonic curvature a real root exists only below a limiting pressure gradient. The reason is therefore exactly why the assertion holds. The consequence is visible in the observed record, where the extremes of low pressure lie much further from the mean than the extremes of high pressure do.

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