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Assertion (A): Compressibility may safely be ignored below about Mach 0.3.

Reason (R): Below that Mach number the density varies by less than about five per cent through the field.

Select the correct answer from the options below.

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

Answer: B

Both are true and the second is the reason for the first. The threshold is chosen by accepting a five per cent density variation as negligible, and working backwards through the isentropic relation puts that at roughly Mach 0.3. It is a convention, not a physical discontinuity in the flow.

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