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Two sound waves have equal displacement amplitudes, but one has 1.6 times the frequency of the...

Two sound waves have equal displacement amplitudes, but one has 1.6 times the frequency of the other. What is the ratio of their intensities?

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Answer #1

Sound intensity

Where,

  • is frequency of sound,
  • is the amplitude of the sound wave particle displacement,
  • is density of medium in which sound is traveling,
  • c is speed of sound

In the given problem everything except frequency are equal for two sound waves.

Therefore

I1/I2 = f12/f22

= 1.62/1

= 2.56

Ans : 2.56

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