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Assertion (A): Stagnation pressure is unchanged through a Prandtl-Meyer expansion.

Reason (R): Each wave in the fan is vanishingly weak, so the entropy rise through the fan is negligible.

Select the correct answer from the options below.

  • A.A is true but R is false
  • B.A is false but R is true
  • C.Both A and R are true, and R is the correct explanation of A
  • D.Both A and R are true, but R is not the correct explanation of A

Answer: C

Both statements are true and the second is the reason for the first. Entropy rise scales with the cube of wave strength, so an infinity of infinitesimal waves still produces nothing measurable. This is the single sharpest contrast between an expansion and a shock.

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