A rock band give rise to an average sound level of `102 dB` at a distance of `20 m` from the center of the band . As an approximation , assume that the band radiates sound equally into a sphere. What is the sound power output of the band?

Explanation

To find the sound power output of the band, we can follow these steps:

### Step 1: Understand the relationship between sound level and intensity
The sound level \( L \) in decibels (dB) is related to the intensity \( I \) of the sound by the formula:
\[ L = 10 \log_{10} \left( \frac{I}{I_0} \right) \]
where \( I_0 \) is the reference intensity, typically \( I_0 = 10^{-12} \, \text{W/m}^2 \).
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