Discussion
For a normal shock at \( M_1 = 2 \), the density ratio \( \rho_2/\rho_1 \) is nearest to
Answer: D
The relation is \( \rho_2/\rho_1 = (\gamma+1)M_1^2 / ((\gamma-1)M_1^2 + 2) \), which gives \( 9.6 / 3.6 = 2.667 \). Compare this with the limiting value of six as the Mach number grows without bound: even at Mach 2 the shock has already achieved nearly half the compression that is available at any speed.
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