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Question

How is loudness of the sound is related to the intensity of wave producing it?
  1. L = k log I
  2. None of these
  3. L = k log I2
  4. L = k log 1/I


Solution

The correct option is A L = k log I
Loudness of the sound depends on its intensity, but loudness is not same as intensity. The loudness L and intensity I is given as, L = k log I where k is a constant of proportionality. Loudness increases with the increase in intensity, but not in the same proportion.
Taking k = 1, the sound level is written as
L = 10 log10 (I1/I0 ) dB
 

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