Question

# The sound level at a point 5.0 m away from a point source is 40 dB. What will be the level at a point 50 m away from the source?

Solution

## Let ${\beta }_{A}$ be the sound level at a point 5 m (= r1) away from the point source and ${\beta }_{B}$ be the sound level at a distance of 50 m (= r2) away from the point source. ∴​ ${\beta }_{A}$ = 40 dB Sound level is given by: $\beta =10{\mathrm{log}}_{10}\left(\frac{I}{{I}_{0}}\right)$ According to the question, Thus, the sound level of a point 50 m away from the point source is 20 dB.PhysicsHC Verma - IStandard XI

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