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Assertion (A): An expansion fan opens out as the flow passes through it.

Reason (R): The Mach angle decreases as the flow accelerates.

Select the correct answer from the options below.

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

Answer: D

Both are true and the second explains the first. Each successive characteristic sits in faster flow and therefore lies at a smaller angle, so the family diverges. The compression case is the mirror image: characteristics converge and eventually coalesce into a shock.

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