A sound source, detector and a movable wall are arranged as shown in figure. In this arrangement detector is detecting the maximum intensity. If the speed of sound is 330 m /s in air and frequency of source is 660 Hz, then find the minimum distance by which the wall should be moved away from source, so that detector detects minimum intensity.
Text Solution
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(12.5 cm)
Let SO + OD – SD = n λ ................ (I) constructive interference
⇒ SP + PD – SD = n λ + 
.............. (II) destructive interference
(II) – (I) gives
SP – SO + PD – OD = 
OP + OP = 
OP = 
= 
= 
= 0.125 m = 12.5 cm
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