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Assertion (A): An expansion in supersonic flow is spread through a fan rather than concentrated into a front.

Reason (R): A discontinuous expansion would require the entropy of the gas to decrease.

Select the correct answer from the options below.

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

Answer: B

Both are true and the second explains the first. The conservation equations formally permit an expansion discontinuity, but the second law forbids it, so nature spreads the expansion over an infinity of weak Mach waves instead. Compressions face no such prohibition, which is why they may coalesce into shocks.

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