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Assertion (A): A converging nozzle cannot produce a supersonic exit however low the back pressure is taken.

Reason (R): A transition through Mach one can occur only where the duct area is stationary.

Select the correct answer from the options below.

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

Answer: A

Both statements are true and the second explains the first. The area-velocity relation permits sonic conditions only at a throat, and a purely converging duct has its minimum area at the exit. The best it can do is choke with Mach one at the exit plane; going further requires a divergent section.

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