A sound has an intensity of $2 imes 10^{-8} ext{ Wm}^{-2}$. Its intensity level in decibels is (Take , $\log_{10} 2 = 0.3$)

Question

A sound has an intensity of $2 	imes 10^{-8} 	ext{ Wm}^{-2}$. Its intensity level in decibels is (Take , $\log_{10} 2 = 0.3$)

Aicharya · Accepted Answer

Intensity level (in dB) $= 10 \log_{10} \left(\frac{I}{I_0}ight)$ Here, $I_0 = 10^{-12} 	ext{ Wm}^{-2}$ $	herefore 	ext{Intensity level} = 10 \log_{10} \frac{2 	imes 10^{-8}}{10^{-12}}$ $= 10(4.3) = 43	ext{ dB}$

A sound has an intensity of $2 \times 10^{-8} \text{ Wm}^{-2}$. Its intensity level in decibels is (Take ,…

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