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Air at \( M_1 = 3 \) crosses a normal shock. By what factor does its static pressure rise?

  • A.8.00
  • B.12.00
  • C.10.33
  • D.4.50

Answer: C

Using \( 1 + 1.1667(M_1^2 - 1) \) with \( M_1^2 - 1 = 8 \) gives \( 1 + 9.333 = 10.33 \). Comparing with 4.5 at Mach 2, the pressure ratio has more than doubled for a fifty per cent rise in Mach number, which shows how steeply shock strength climbs.

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