What is the intensity of sound of 70 decibel? (Take, reference intensity, i$_{0}$ = $10^{-12}$ Wm$^{-2}$)

Question

Aicharya · Accepted Answer

Sol. Loudness (in decibel) = $10\log_{10}\frac{i}{i_0}$ or $70 = 10\log_{10}\frac{i}{i_0}$ or $\frac{i}{i_0}=10^7$ or $i = i_0 10^7 = 10^{-12}	imes 10^7 = 10^{-5}$ Wm$^{-2}$ Answer: $10^{-5}$ Wm$^{-2}$

What is the intensity of sound of 70 decibel? (Take, reference intensity, i$_{0}$ = $10^{-12}$ Wm$^{-2}$)

Solution