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Q.

A point source is emitting sound in all directions. The ratio of distance of two points from the point source where the difference in loudness levels is 3 dB is: (log102 = 0.3)

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a

12

b

12

c

14

d

23

answer is B.

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Detailed Solution

dB = 10log(II0) = 10log(Kr2I0)    = 10[log(K')-2log r]dB1 = 10(log K'-2 log r1)dB2 = 10(log K'-2log r2)3 = dB1-dB2 = 20log(r2r1)(0.3) = log(r2r1)2    ⇒ (r1r2) = 12
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