Which of the following is the correct relation for mach number?(a) M=V\(\sqrt{\frac{\rho}{\gamma P}}\)(b) V=\(\frac{a}{M}\)(c) M=V\(\sqrt{\frac{P}{\gamma\rho}}\)(d) M=V\(\sqrt{\frac{\gamma p}{\rho}}\)The question was posed to me in exam.This intriguing question comes from Measurement of Mach Number in portion Atmosphere and Air Data Measurement of Aircraft Performance

Which of the following is the correct relation for mach number?(a) M=V

1.	Which of the following is the correct relation for mach number?(a) M=V\(\sqrt{\frac{\rho}{\gamma P}}\)(b) V=\(\frac{a}{M}\)(c) M=V\(\sqrt{\frac{P}{\gamma\rho}}\)(d) M=V\(\sqrt{\frac{\gamma p}{\rho}}\)The question was posed to me in exam.This intriguing question comes from Measurement of Mach Number in portion Atmosphere and Air Data Measurement of Aircraft Performance
Answer» Correct answer is (a) M=V\(\SQRT{\frac{\rho}{\GAMMA P}}\) The EXPLANATION is: M=V\(\sqrt{\frac{\rho}{\gamma P}}\) is the correct relation for mach number in terms of pressure and density. In M=V\(\sqrt{\frac{\rho}{\gamma P}}\), M=mach number, V=velocity , ρ=density, P= pressure and γ is γ is the RATIO of specific heat at constant pressure to that of specific heat at constant VOLUME.

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