Q.

Two loudspeakers L1 and L2 driven by a common oscillator and amplifier, are arranged as shown. The frequency of the oscillator is gradually increased from zero and the detector at D records a series of maxima and minima. If the speed of sound is 330 ms–1 then the frequency at which the first maximum is observed is

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a

165 Hz

b

330 Hz

c

496 Hz

d

660 Hz

answer is B.

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Detailed Solution

Path difference between the wave reaching at D  Δx=L2P−L1P=402+92−40=41−40=1mFor maximum Δx=(2n)λ2For first maximum n=1⇒1=2(1)λ2⇒λ=1m⇒n=vλ=330Hz
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Two loudspeakers L1 and L2 driven by a common oscillator and amplifier, are arranged as shown. The frequency of the oscillator is gradually increased from zero and the detector at D records a series of maxima and minima. If the speed of sound is 330 ms–1 then the frequency at which the first maximum is observed is