Q. A sound absorber the sound level by 20 dB. The intensity decreases by a factor of

A) 1000
B) 10000
C) 10
D) 100
Explanation

(d) Let intensity of sound be I and I’.
Loudness of sound initially
$\beta_{1} = 10\log\left( \frac{I}{I_{0}} \right)$
Later,
$\beta_{2} = 10\log\left( \frac{I^{'}}{I_{0}} \right)$
Given, $\beta_{2} - \beta_{1} = 20$
$\therefore 20 = \log\left( \frac{I^{'}}{I} \right)\ $
$I^{'} = 100I$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.

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