ISRO Mechanical & Aerospace 2011 - Question 27

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The stagnation temperature of an isentropic flow of air (k = 1.4) is 360K. If the temperature is 200K at a section, then the Mach number of the flow will be

  • A. 1.0
  • B. 1.5
  • C. 3.0
  • D. 2.0

Answer: D. 2.0

Explanation: $T_0/T = 1 + (k-1)/2 M²$. $360/200 = 1 + 0.2 M²$. $1.8 - 1 = 0.2 M²$. $0.8 = 0.2 M² \implies M² = 4 \implies M = 2$.

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