Two loudspeakers placed 6.00 m apart are driven in phase by an audio oscillator having a frequency range from 1908 Hz to 2471 Hz.A point P is located 4.70 m from one loudspeaker and 3.60 m from the other speaker.At what frequency of the oscillator does the sound reaching point P interfere constructively? The speed of sound is 344 m/s.
A)2190 Hz
B)2420 Hz
C)2110 Hz
D)2340 Hz
E)2270 Hz

Question

Quizplus · Accepted Answer

For constructive interference, the path difference should be an integer multiple of the wavelength. The path difference is 4.70 m - 3.60 m = 1.10 m. The wavelength λ is given by v/f, where v is the speed of sound (344 m/s). Solving for f using the condition for constructive interference (nλ = 1.10 m), we find that 2190 Hz is a frequency that satisfies this condition.

Two Loudspeakers Placed 6