Please show step by step solutions! Thanks! Question 6 Two loudspeakers in a pla
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Please show step by step solutions! Thanks!
Question 6 Two loudspeakers in a plane, 5.0 m apart, are playing the same frequency. If you stand 12.0 m in front of the plane of the speakers, centered between them, you hear a sound of maximum intensity. As you walk parallel to the plane of the speakers, staying 12.0 m in front of them, you first hear a minimum of sound intensity when you are directly in front of one of the speakers. What is the frequency of the sound? Assume the speed of sound is 340 m/sExplanation / Answer
The path difference between two sound waves is
deltaX = sqrt(12^2 + 5^2) - 12
deltaX = 1 m
The path difference between two sound wave to get minimum intensity is equal to wavelength / 2
DeltaX = wavelength / 2
2*DeltaX = wavelength
The frequency of sound is
f = v / wavelength
f = v / 2*DeltaX
f = 340 m/s / (2 x 1 m)
f = 170 Hz