Discussion
Which value of the Richardson number is the critical threshold?
Answer: C
Miles and Howard proved that a Richardson number below 0.25 somewhere in the flow is a necessary condition for instability of a stratified shear layer. Above that value the stratification suppresses the growth of any disturbance. The condition is necessary rather than sufficient, so a flow may satisfy it and still remain stable, and that qualification is frequently the point of an examination question. Checking the units of each quantity catches a wrong formula before the arithmetic begins.
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