Question

A sound has an intensity of $3\times {10}^{-8}W/m^2$. What is the sound level in $dB$ (decibels)? (Given, $\log 3=0.477)$.

• A. $4.477dB$
• B. $0.4477dB$
• C. $44.77dB$
• D. $45.7dB$

Answer 1

The correct option is C $44.77dB$

$\begin{array}{c}\left(10dB\right){\log }_{10}\left(\frac{I}{I_0}\right)\\ 10dB{\log }_{10}\left(\frac{3\times {10}^{-8}}{1\times {10}^{-12}}\right)=44.77dB\end{array}$