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MHT CET202620 April 2026Morning ShiftPhysicsWaves and SoundActual

The ratio of the speed of sound in helium gas to that in nitrogen gas at 295 K is ( Ratio of specific heats for helium is 5 3 and that for nitrogen is 7 5 . Molecular weight for helium and nitrogen are 4 and 28 respectively.)

Options

  1. A2 7
  2. B3 5
  3. C3 5
  4. D5 3

Correct answer

D. 5 3

Step-by-step solution

The speed of sound in a gas is given by v = R T M . For helium, _ He = 5 3 and M_ He = 4 . For nitrogen, _ N₂ = 7 5 and M_ N₂ = 28 . The ratio of the speed of sound in helium to that in nitrogen at the same temperature T is: v_ He v_ N₂ = _ He _ N₂ M_ N₂ M_ He Substituting the given values: v_ He v_ N₂ = 5/3 7/5 28 4 v_ He v_ N₂ = 25 21 7 = 25 3 = 5 3 Answer: 5 3

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