Sound WavesMediumBloom L3
Question
Spherical sound waves are emitted uniformly in all directions from a point source. The variation in sound level SL as a function of distance r(> 0) from the source can be written as
Options
A.SL = – b log ra
B.SL = a – b log r
C.SL = a – b(log r)2
D.
SL = – b log ra (B) SL = a – b log r (C) SL = a – b(log r)2 (D) SL = a –$\frac{a}{r^{2}}$
where a and b are positive constant.
Solution
Sol. SL = $10\log\frac{I}{I_{0}}$ = $10\log\left( \frac{\frac{P_{0}}{4\pi r^{2}}}{I_{0}} \right)$
= $10\left\lbrack \log\frac{P_{0}}{4\pi I_{0}} - 2\log r \right\rbrack$
= a – b log r
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