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MHT CET202611 April 2026Morning ShiftPhysicsWaves and SoundActual

What is the effect of humidity on sound waves when humidity increases?

Options

  1. ASpeed of sound waves is more.
  2. BSpeed of sound waves is less.
  3. CSpeed of sound waves remains same.
  4. DSpeed of sound waves becomes zero.

Correct answer

A. Speed of sound waves is more.

Step-by-step solution

The speed of sound in a gas is given by v = R T M , where M is the molar mass of the gas. Dry air consists mainly of nitrogen ( N₂ , molar mass 28 g/mol) and oxygen ( O₂ , molar mass 32 g/mol), giving an average molar mass of approximately 28.97 g/mol. Water vapor ( H₂O ) has a molar mass of 18 g/mol. When humidity increases, water vapor displaces heavier nitrogen and oxygen molecules, which decreases the average molar mass M of the air. Since the speed of sound is inversely proportional to the square root of the m

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