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For a normal shock at \( M_1 = 3 \), the density ratio is nearest to

  • A.2.67
  • B.6.00
  • C.5.00
  • D.3.86

Answer: D

The relation \( (\gamma+1)M_1^2/((\gamma-1)M_1^2+2) \) gives \( 21.6/(3.6+2) = 21.6/5.6 = 3.857 \). It is climbing towards the ceiling of six but slowly, which illustrates how much harder density is to compress than pressure is to raise.

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