The isentropic compressibility, in terms of speed of sound in any medium is given by ________(a) τs=ρa^2(b) τs=\(\frac {1}{\rho a^2}\)(c) τs=\(\frac {\rho }{a^2}\)(d) τs=\(\frac {1}{\rho a}\)I got this question in class test.Enquiry is from The Basic Normal Shock Equations topic in portion Normal Shock Waves of Aerodynamics

The isentropic compressibility, in terms of speed of sound in any medi

1.	The isentropic compressibility, in terms of speed of sound in any medium is given by ________(a) τs=ρa^2(b) τs=\(\frac {1}{\rho a^2}\)(c) τs=\(\frac {\rho }{a^2}\)(d) τs=\(\frac {1}{\rho a}\)I got this question in class test.Enquiry is from The Basic Normal Shock Equations topic in portion Normal Shock Waves of Aerodynamics
Answer» Correct CHOICE is (b) τs=\(\frac {1}{\rho a^2}\) To EXPLAIN: The SPEED of sound in any MEDIUM is given by a^2=\(\frac {dp}{d\rho }\) and the isentropic compressibility is related to the speed of sound as τs=\(\frac {1}{\rho a^2}\). To derive this, v=\(\frac {1}{\rho }\) has been USED. The higher is the compressibility, the lower the speed of sound.

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