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JEE Main20236 Apr 2023Evening ShiftPhysicsWaves and SoundActual

The ratio of speed of sound in hydrogen gas to the speed of sound in oxygen gas at the same temperature is:

Options

  1. A1 : 2
  2. B4 : 1
  3. C1 : 4
  4. D1 : 1

Correct answer

B. 4 : 1

Step-by-step solution

The formula to calculate the speed of sound in hydrogen gas is given by v H 2 = γ R T M H 2       . . . 1 The formula to calculate the speed of sound in oxygen is given by v O 2 = γ R T M O 2       . . . 2 Divide equation (1) by (2) and simplify to obtain the required ratio. v H 2 v O 2 = M O 2 M H 2       . . . 3 Substitute the values of the known parameters into equation (3) to calculate the required ratio. v H 2 v O 2 = 32 2 =   4 : 1

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