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Consider the following statements about the Mach cone in supersonic flow:

1. Its half-angle is the inverse sine of the reciprocal of the Mach number.

2. It becomes more slender as the Mach number increases.

3. It exists in subsonic flow with a half-angle greater than 90 degrees.

Which of the statements given above is or are correct?

  • A.1 and 2 only
  • B.1 and 3 only
  • C.2 and 3 only
  • D.1, 2 and 3

Answer: A

The first two are correct and describe how the cone narrows at higher speeds. The third is meaningless: below Mach one the reciprocal of the Mach number exceeds one and the inverse sine is undefined, which is the mathematics reflecting the fact that disturbances reach everywhere in a subsonic flow.

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