How is loudness of the sound is related to the intensity of wave producing it?

L = k log I²

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L = k log 1/I

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L = k log I

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None of these

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Solution

The correct option is C 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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