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Calculate the change in intensity level the intensity of sound increases 1000 times its original intensity.
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Solution:

Initial intensity: I

Final intensity: K

Ratio of $\dfrac{I}{K}=1000$

Increase in intensity level

$X=10\ log_{10} \left(\dfrac{I}{K}\right)$dB

$X=10\ log_{10} 1000=3\times10=30$

$\therefore$ Increase in intensity level =30dB

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