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

3 m

b

5 m

c

2 m

d

12 m

answer is B.

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Detailed Solution

 At L:Phase difference=Δϕ=2πλx=2πλS1LS2LΔϕ=2π14+942=2π522=πThis means Minima is formed.
  Now at other  position, Δϕ=2π1d2=2π      for adjacent maxima Δϕ=2π 

d=3m

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