The mach number of the plane which is travelling at supersonic speed is:

  1. equal to 1
  2. greater than 1
  3. less than 1
  4. less than 0.8

Answer (Detailed Solution Below)

Option 2 : greater than 1
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Detailed Solution

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CONCEPT:

Supersonic speed:

  • Supersonic speed is the speed of an object that exceeds the speed of sound.

Mach number:

  • It is defined as the ratio of the speed of the object to the speed of sound.

\(⇒ M=\frac{u}{v}\)

Where M = Mach number, u = speed of the object, and v = speed of sound

EXPLANATION:

  • The Mach number is given as,

\(⇒ M=\frac{u}{v}\)     -----(1)

Where M = Mach number, u = speed of the object, and v = speed of sound

  • For the supersonic speed, the speed of the plane will be more than the speed of sound.

⇒ u > v     -----(2)

Bu equation 1 and equation 2,

⇒ M > 1

  • Hence, option 2 is correct.
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