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Q.

Two coherent sources of sound,  S1 and  S2, produce sound waves of the same wavelength,  λ=1m, in phase.  S1 and S2  are placed 1.5 m apart (see fig). A listener, located at L, directly in front of  S2 finds that the intensity is at a minimum when he is 2 m away from  S2. The listener moves away from  S1, keeping his distance from  S2 fixed. The adjacent maximum of intensity is observed when the listener is at a distance d from  S1. Then, d is :

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a

5 m

b

3 m

c

12 m

d

2 m

answer is B.

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Detailed Solution

At L:​Phase difference=Δϕ=2πλ△x=2πλS1L−S2L​⇒Δϕ=2π14+94−2=2π52−2=π​This means Minima is formed.  Now at other  position, ​Δϕ=2π1d−2=2π      for adjacent maxima Δϕ=2π ⇒d=3m
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