Two loudspeakers L 1 and L 2 , 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 seri

Question

Two loudspeakers L 1 and L 2 , 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 at what frequency (in Hz) does the first maximum is observed?

TestHub · Accepted Answer

Let Δx = path difference ⇒ Δ x = L 2 D - L 1 D ⇒ Δ x = 40 2 + 9 2 - 40 ⇒ Δ x = 41 - 40 ⇒ Δ x = 1 m For first maximum, n = 1 Δ x = n λ Δ x = n V f f = n V x f = 330 Hz

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