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For air at \( M = 1 \), the ratio of stagnation density to static density is nearest to

  • A.1.58
  • B.1.89
  • C.1.20
  • D.1.40

Answer: A

The density relation carries the exponent \( 1/(\gamma-1) = 2.5 \), so \( \rho_0/\rho = 1.2^{2.5} = 1.577 \). Comparing the three isentropic ratios at Mach one -- 1.2 for temperature, 1.89 for pressure and 1.58 for density -- shows how much more strongly pressure responds than temperature does.

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