Answer:
79·433 × [tex]10^{-12}[/tex] W/m²
Explanation:
Given intensity of sound in decibels is 19
Formula for intensity of sound in decibels is
where
[tex]I_{1}[/tex] is the intensity of sound measured in decibels
I is the intensity of sound measured in W/m²
[tex]I_{0}[/tex] is the intensity of the sound that is taken as standard and it's value is equal to [tex]10^{-12}[/tex] W/m²
By applying the formula
19 = 10 × ㏒(I ÷ [tex]I_{0}[/tex])
⇒ 1·9 = ㏒(I ÷ [tex]I_{0}[/tex])
⇒ antilog(1·9) = I ÷ [tex]I_{0}[/tex]
⇒ 79·433 = I ÷ [tex]10^{-12}[/tex]
⇒ I = 79·433 × [tex]10^{-12}[/tex] W/m²
∴ Intensity of sound = 79·433 × [tex]10^{-12}[/tex] W/m²
