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Assertion (A): The density ratio across a normal shock cannot exceed six in air.

Reason (R): The limiting ratio is the specific heat ratio plus one divided by the specific heat ratio minus one.

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 gives the reason. Substituting 1.4 gives 2.4 over 0.4, that is six. Pressure and temperature ratios grow without limit as the shock strengthens, but the density saturates, and dissociation at hypersonic speeds is what raises the ceiling in practice.

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