# Question #a23ec

Dec 27, 2017

96 dB

#### Explanation:

...according to this little link, here

...if by "intensity" we interpret as "sound pressure". In which case, +6 db makes it twice as intense.

GOOD LUCK

Dec 27, 2017

The answer is $= 93 \mathrm{dB}$

#### Explanation:

The definition of the decibel scale is

${I}_{\mathrm{dB}} = 10 {\log}_{10} \left(\frac{I}{I} _ 0\right)$

where,

${I}_{0} = 1 \cdot {10}^{- 12}$

Therefore,

If ${I}_{\mathrm{dB}} = 90 = 10 {\log}_{10} \left(\frac{I}{I} _ 0\right)$

Then,

The new decibel level will be

${I}_{\mathrm{dB}} ' = 10 {\log}_{10} \left(\frac{2 I}{I} _ 0\right) = 10 {\log}_{10} 2 + 10 {\log}_{10} \left(\frac{I}{I} _ 0\right)$

$10 {\log}_{10} 2 = 10 \cdot 0.3 = 3$

${I}_{\mathrm{dB}} ' = 3 + 90 = 93$
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