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Question

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

A
L = k log I2
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B
L = k log 1/I
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C
L = k log I
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D
None of these
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Solution

## The correct option is C L = k log ILoudness 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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