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Question

You live on a busy street, but as a music lover, you want to reduce the traffic noise. If you install special sound-reflecting windows that reduce the sound intensity level (in dB) by 30 dB, by what fraction have you lowered the sound intensity (inwm2)?


A

103

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B

101

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C

12

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D

104

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Solution

The correct option is A

103


Let the initial intensity be I1

Corresponding initial intensity level will be

β1 = 10 log (I2I0)

Now you have to reduce intensity level by 30 dB

β2 = 10 log I2I0

we know β1 β2 = 30 = 10 logI1I0 10 log I2I0

30 = 10 log(I1I0)

I1I2 = 103

I2I1 = 103


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