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Intensity level of a sound of intensity I is 30dB. The ratio \frac{I}{I_{0}} is (where I0 is the threshold for hearing)

  • Option 1)

    3000

  • Option 2)

    1000

  • Option 3)

    300

  • Option 4)

    30

 

Answers (1)

best_answer

L = 10 log_{10} \left [ \frac{I}{I_{o}} \right ] = 30 \Rightarrow \frac{I}{I_{o}} = 10 ^{3}

 

Sound level in decibels -

\beta = \: \: 10 \log_{10}\left ( I/I_{0} \right ),\\for \: \: I=I_{0}\\ \beta =0

- wherein

Where I is the intensity of the sound and I_{0}  is a constant reference intensity = 10-12 W/m2

 

 

 


Option 1)

3000

This is incorrect.

Option 2)

1000

This is correct.

Option 3)

300

This is incorrect.

Option 4)

30

This is incorrect.

Posted by

divya.saini

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