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Assertion (A): An expansion shock cannot exist in a gas.

Reason (R): The entropy of the gas would have to decrease across such a discontinuity.

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 admit an expansion discontinuity, but evaluating its entropy change gives a decrease, which the second law forbids. Supersonic expansions must therefore be spread through a fan of Mach waves instead of concentrated into a front.

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