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Which of the following relations between loudness and intensity is correct?

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Which of the following relations between loudness and intensity is correct?

(a) I ∝ log L

(b) I ∝ log L^2

(c) L ∝ log I

(d) L ∝ log I^2

The question was asked in semester exam.

Enquiry is from Acoustics topic in division Acoustics and Ventilation of Construction & Building Materials

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Correct option is (c) L ∝ log I

The explanation is: Loudness is related to intensity by the relation L ∝ log I where L is the loudness and I is the intensity of sound. The loudness of a sound is the degree of sensation which depends on the intensity of sound and the sensitivity of eardrums while intensity is purely a physical quantity.

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