Question:

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

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Every 10 dB change corresponds to a factor of 10 change in intensity. 20 dB = $10 \times 10 = 100$.
  • 10
  • 100
  • 1000
  • 10000
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The Correct Option is B

Solution and Explanation

Step 1: Concept
The difference in sound intensity levels in decibels (dB) is calculated as $L = 10 \log_{10}(I_{1}/I_{2})$.

Step 2: Meaning

Attenuation by 20 dB means the difference between the initial and final level is 20.

Step 3: Analysis

$20 = 10 \log_{10}(I_{initial}/I_{final}) \implies 2 = \log_{10}(I_{initial}/I_{final})$.

Step 4: Conclusion

$I_{initial}/I_{final} = 10^{2} = 100$. The intensity decreases by a factor of 100. Final Answer: (B)
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