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Radar reflectivity from rain is proportional to

  • A.the sum of the drop diameters themselves
  • B.the total number of drops present only
  • C.the square root of the total liquid water content
  • D.the sum of the sixth powers of the drop diameters

Answer: D

Correct answer: the sum of the sixth powers of the drop diameters

\[ Z = \sum D^6. \] The sixth power means a single 4 mm drop returns as much signal as 4,096 drops of 1 mm, so reflectivity is dominated by the largest drops present. Rainfall rate depends on a much lower power, which is why the relation between the two is empirical and varies with the type of rain.

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