Two sources of sound, S 1 and S 2 , emitting waves of equal wavelength 2 cm, are placed with a separation of 3 cm between them. A detector can be moved on a line parallel to S 1 S 2 and at a distance of 24 cm from it. Initially, the detector is equidistant from the two sources. Assuming that the waves emitted by the sources are in phase, find the minimum distance through which the detector should be shifted to detect a minimum of sound.
Text Solution
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(8.5 cm)
Now new situation of detector is D’
so path difference for subsequent minima
S = S 1 D ' – S 2 D' = 
= 
– 
= 1
⇒ x = 7 cm.
so detector should be displaced by 7 + 1.5 = 8.5 cm
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