Four sources of sound each of sound level 10, | vedclass

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Question

Loudness (in $\mathrm{dB})=10 \log _{10}\left(\frac{\mathrm{I}}{\mathrm{I}_{\mathrm{o}}}\right)=10$

$\Rightarrow \mathrm{I}=10 \mathrm{I}_{\mathrm{

Vedclass · Accepted Answer

$16$

Vedclass · Answer

Loudness (in $\mathrm{dB})=10 \log _{10}\left(\frac{\mathrm{I}}{\mathrm{I}_{\mathrm{o}}}ight)=10$

$\Rightarrow \mathrm{I}=10 \mathrm{I}_{\mathrm{o}}$

When all four sources are sounded together total intensity $\mathrm{I}_{\max }=4 \mathrm{I}=40 \mathrm{I}_{\mathrm{o}}$

$	herefore$ Loudness in $(\mathrm{dB})=10 \log _{10}\left(\frac{40 \mathrm{I}_{\circ}}{\mathrm{I}_{\circ}}ight)$

$=10 \log _{10}(40) \approx 16 \mathrm{\,dB}$

Four sources of sound each of sound level $10\,dB$ are sounded together, there sultant intensity level will be ... $dB$

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