Question 255: Waves

Question

How many times more intense is a 60 dB sound that a 30 dB sound?

Accepted Answer

Loudness of two sounds are given as $\mathrm{L}_2=60 \mathrm{~dB}$ and $\mathrm{L}_1=30 \mathrm{~dB}$
Loudness of sound $\mathrm{L}=10 \log _{10} \frac{\mathrm{I}}{\mathrm{I}_0}$
$\begin{array}{ll}
	herefore \quad & L_2-L_1=10 \log _{10} \frac{I_2}{I_1} \
& 60-30=10 \log _{10} \frac{I_2}{I_1} \
	herefore \quad & \log _{10} \frac{I_2}{I_1}=3 \
& \frac{I_2}{I_1}=10^3 \Rightarrow I_2=1000 I_1
\end{array}$

Answer

2

Answer

4

Answer

1000

Answer

10000

Waves

How many times more intense is a 60 dB sound that a 30 dB sound?

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