Sound Intensity and the Decibel Scale

Question

The sound intensity level, $\beta$, in decibels (dB), is given by the formula $$\beta = 10*\log_{10}\left(\frac{I}{I_0}\right)$$. All of the following statements about this relationship are true EXCEPT:

Accepted Answer

An increase in noise intensity by a factor of 10 results in a 20 dB increase in sound level.

Answer

If the intensity increases by a factor of 10, then $$\beta = 10*\log_{10}(10) + 10*\log_{10}\left(\frac{I}{I_0}\right)$$, which is 10 dB higher than the original level.

Answer

Doubling the noise intensity results in an approximate increase of 3 dB.

Answer

The decibel scale is logarithmic, so a tenfold increase in intensity leads to a 10 dB increase.

Sound Intensity and the Decibel Scale

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