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How is Loudness of Sound Related to the Intensity of Wave Producing It?

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Question

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

Loudness of a sound (L) and its intensity (I) are related as:
L = k log (I/Io),
Here, I/Io is the intensity level of the sound or the ratio between its intensity I and the threshold intensity Io, and k is the constant of proportionality depending upon the unit chosen.

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Chapter 3: Sound - Exercise 2 [Page 149]

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Frank Physics Part 2 [English] Class 10 ICSE
Chapter 3 Sound
Exercise 2 | Q 9 | Page 149
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