The properties of a flow with subscript * denotes M=1. Which of these is the correct ratio for a flow with gamma= 1.4?(a) \(\frac {T^*}{T_0}\)=0.528(b) \(\frac {P^*}{P_0}\)=0.833(c) \(\frac {\rho ^*}{\rho_0}\)=0.634(d) Data inadequateI had been asked this question during an internship interview.Origin of the question is The Basic Normal Shock Equations topic in section Normal Shock Waves of Aerodynamics

The properties of a flow with subscript * denotes M=1. Which of these

1.	The properties of a flow with subscript * denotes M=1. Which of these is the correct ratio for a flow with gamma= 1.4?(a) \(\frac {T^}{T_0}\)=0.528(b) \(\frac {P^}{P_0}\)=0.833(c) \(\frac {\rho ^*}{\rho_0}\)=0.634(d) Data inadequateI had been asked this question during an internship interview.Origin of the question is The Basic Normal Shock Equations topic in section Normal Shock Waves of Aerodynamics
Answer» The correct answer is (c) \(\FRAC {\RHO ^}{\rho_0}\)=0.634 Best EXPLANATION: The defined flow properties are related to each other with relations involving only MACH number and gamma. Hence, when these TWO values are given, the ratios can be calculated. These are important ratios and for M=1 and gamma=1.4 the values are \(\frac {T^}{T_0}\)=0.833, \(\frac {P^}{P_0}\)=0.528, \(\frac {\rho ^}{\rho_0}\)=0.634

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