Discussion
Assertion (A): A supersonic nozzle must diverge if the flow is to accelerate further.
Reason (R): Above Mach one the fractional fall in density outpaces the fractional rise in velocity.
Select the correct answer from the options below.
Answer: D
Both are true and the reason accounts for the assertion. Continuity fixes the product of density, velocity and area, so if density is falling faster than velocity is rising, the area must grow. Below Mach one the balance reverses, which is why the same nozzle converges up to its throat.
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