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MHT CET Medical202624 April 2026Morning ShiftPhysicsWaves and SoundActual

The density of oxygen is 16 times that of hydrogen. The ratio of the velocity of sound in oxygen to that in hydrogen is

Options

  1. A1:4
  2. B4:1
  3. C1:2
  4. D2:1

Correct answer

A. 1:4

Step-by-step solution

The velocity of sound in a gas is given by v = P . For oxygen and hydrogen, both being diatomic gases, the ratio of specific heats is the same. Assuming they are at the same pressure P , the velocity of sound is inversely proportional to the square root of the density of the gas. v 1 v_ O v_ H = _ H _ O Given _ O = 16 _ H , v_ O v_ H = _ H 16 _ H = 1 16 = 1 4 The ratio of the velocity of sound in oxygen to that in hydrogen is 1:4 . Answer: 1:4

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