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What is the intensity of a sound wave with a relative intensity of 71.3 dB?7.41x10-20 W/m²1.35x107 W/m2KID1.35x1019 W/m²AID1.35x105 W/m²

Sagot :

Given:

The sound is,

[tex]B=71.3\text{ dB}[/tex]

Required: intensity of the sound wave is to be found.

Explanation:

to find the intensity of the sound wave, we will use the formula that is given by

[tex]B=\log_{10}\frac{I}{I_0}[/tex]

Plugging the value of B in the above relation, and solve for I/I0,we get:

[tex]\begin{gathered} 71.3\text{ dB}=10\times\log_{10}\frac{I}{I_0} \\ solving\text{ }, \\ \frac{I}{I_0}=10^{7.13} \\ \frac{I}{I_0}=13489628.83\text{ } \\ \frac{I}{I_0}\approx1.35\times10^7\text{ w/m}^2 \end{gathered}[/tex]

Thus, the intensity of the

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