What is the relation between speed of object and temperature?(a) T0=T\(\Big[1+\frac{\gamma-1}{2}(\frac{V}{a})^2\Big]\)(b) T0=T\(\Big[1-\frac{\gamma-1}{2}(\frac{V}{a})^2\Big]\)(c) T0=T\(\Big[1+\frac{\gamma+1}{2}(\frac{V}{a})^2\Big]\)(d) T0=T\(\Big[1-\frac{\gamma+1}{2}(\frac{V}{a})^2\Big]\)This question was posed to me during an interview.Question is taken from Measurement of Air Temperature in chapter Atmosphere and Air Data Measurement of Aircraft Performance

What is the relation between speed of object and temperature?(a) T0=T\

1.	What is the relation between speed of object and temperature?(a) T0=T\(\Big[1+\frac{\gamma-1}{2}(\frac{V}{a})^2\Big]\)(b) T0=T\(\Big[1-\frac{\gamma-1}{2}(\frac{V}{a})^2\Big]\)(c) T0=T\(\Big[1+\frac{\gamma+1}{2}(\frac{V}{a})^2\Big]\)(d) T0=T\(\Big[1-\frac{\gamma+1}{2}(\frac{V}{a})^2\Big]\)This question was posed to me during an interview.Question is taken from Measurement of Air Temperature in chapter Atmosphere and Air Data Measurement of Aircraft Performance
Answer» Correct choice is (a) T0=T\(\BIG[1+\frac{\gamma-1}{2}(\frac{V}{a})^2\Big]\) To ELABORATE: The RELATION between speed of object and temperature is T0=T\(\Big[1+\frac{\gamma-1}{2}(\frac{V}{a})^2\Big]\)where T is the temperature at that altitude, T0 is the stagnation temperature, γ is the ratio of specific HEAT at constant pressure to that of specific heat at constant volume, V is speed of object and ‘a’ is speed of sound.

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