Two Loudspeakers A and B, 1.0 m apart, Produce Sound Waves Of The Same Wavelength And In The Same Phase. A Sensitive Sound Detector, Moving Along PQ, Parallel To Line AB, 2.4 m away, Detects Maximum Sound At P (on The Perpendicular Bisector Of AB) Another Maximum Sound When It First Reaches Q directly Opposite To B, As Shown In Fig. What Is The Wavelength Of Sound Emitted By The Speakers?                                              

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Question

Two loudspeakers A and B, 1.0 m apart, produce sound waves of the same wavelength and in the same phase. A sensitive sound detector, moving along PQ, parallel to line AB, 2.4 m away, detects maximum sound at P (on the perpendicular bisector of AB) another maximum sound when it first reaches Q directly opposite to B, as shown in fig. What is the wavelength of sound emitted by the speakers?

                                             

Solution

Correct option is

0.2 m

 

Path difference for two consecutive maxima = λ, i.e.

                        

.  

Also BQ = 2.4 m.   

Thus  2.6 – 2.4 = λ or λ = 0.2 m.

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