Due to a point source of sound, loudness at a point is 40dB. The speed of sound is 330ms−1 and air density is 1511kgm−3, If the pressure amplitude at this point is x×10−4Pa. Find the value of X.(Take the threshold intensity is 10−12w/m2 )

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Due to a point source of sound, loudness at a point is $40 d B .$ The speed of sound is $330 m s^{- 1}$ and air density is $\frac{15}{11} k g m^{- 3},$ If the pressure amplitude at this point is $x \times 10^{- 4} P a .$ Find the value of X.(Take the threshold intensity is $10^{- 12} w / m^{2}$ )

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Detailed Solution

$d B = 10 \log_{10} (\frac{I}{I_{0}}) & I = \frac{Δ p^{2}}{2 p V}$

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