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Wind speed generally increases with height according to

  • A.A power law in height
  • B.A linear relationship independent of terrain
  • C.An inverse square law
  • D.No systematic relationship

Answer: A

Correct answer: A power law in height

Wind speed increases with height as

\[ u_2 = u_1 \left(\frac{z_2}{z_1}\right)^{p} \]

where the exponent \(p\) depends on surface roughness and stability - about 0.1 over open water in unstable air, and 0.4 or more over a city in stable air. It matters because the wind at stack height, not at the 10 m of a standard anemometer, is what governs plume rise and dilution.

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