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The velocity of sound in air is affected by change in the
I. Moisture content of air
II. Temperature of air
III. Composition of air
IV. Atmospheric pressure
Choose the correct answer.
  • a)
    I, II and III
  • b)
    II, III and IV
  • c)
    I, II and IV
  • d)
    I, III and IV
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The velocity of sound in air is affected by change in the I. Moisture ...
Concept:
  • During the day the sun heats up the earth's surface, warming the air close to the ground. 
  • Sound travels faster in warmer air
    . So the sound travels faster in the air close to the ground.
  • The reverse happens at night.
  • The speed of the sound in air is given by, 
    v=γRTM
     where M = molecular mass of the air, R = Universal gas constant, T = temperature, γ = adiabatic index
  • In terms of density, speed, 
    , where β = bulk modulus, ρ = density
Explanation:
The speed of the sound in air is given by, 
In terms of density and bulk modulus, 
 
From the above expression, the speed of the sound is depended on the following factors,
  • The temperature
  • density: The composition of the air and the humidity(moisture) change the density 
  • The speed is almost independent of the atmospheric pressure.
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