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Assertion (A): The Prandtl-Meyer function makes successive turning angles simply additive.

Reason (R): The function is defined to be zero at Mach one.

Select the correct answer from the options below.

  • A.A is true but R is false
  • B.A is false but R is true
  • C.Both A and R are true, but R is not the correct explanation of A
  • D.Both A and R are true, and R is the correct explanation of A

Answer: C

Both statements are true, but the second does not explain the first. Additivity follows from the differential relation between turning and Mach number that defines the function, and it would hold whatever constant of integration were chosen. Setting the value to zero at Mach one merely fixes a convenient datum.

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