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Assertion (A): A rounded convex corner and a sharp one of the same total turn give the same downstream Mach number.

Reason (R): The Prandtl-Meyer solution depends only on the upstream Mach number and the total turning angle.

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 are true and the second explains the first. No length scale enters the problem, so the geometry of how the turn is distributed affects only the near field. The downstream state follows from the total angle turned through, whether that happens at one corner or over a curve.

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