Discussion
In wind erosion, the amount of soil transported varies
Answer: D
The soil transported varies directly as the cube of the difference between the actual and threshold wind velocities and as the square root of the mean soil particle diameter.
Soil is moved only when the wind exceeds the threshold velocity at which particles start to roll and saltate, so it is the excess velocity \((V - V_{t})\) that drives transport. The relation used in soil conservation texts follows Bagnold's work on blown sand: the rate of soil movement grows with the cube of that excess and with the square root of the mean particle diameter, \(q \propto (V - V_{t})^{3}\sqrt{d}\).
The options using the threshold velocity alone or the actual velocity alone miss the fact that only the excess over the threshold does work, and they also wrongly make transport fall with particle size squared. The option with the square of the diameter has the right velocity term but the wrong power of \(d\).
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