Two stereo speakers mounted 4.52 m apart on a wall emit identical sound waves.You are standing at the opposite wall of the room at a point directly between the two speakers.You walk 2.11 m parallel to the wall,to a location where you first notice that the sound intensity is essentially zero.If the wall along which you are walking is $10.7 \mathrm {~m}$ from the wall with the speakers,what is the wavelength of the sound waves? The walls are cushioned to absorb sound reflections.

Question

Quizplus · Accepted Answer

The path difference between the sound waves from the two speakers at the point of destructive interference is half a wavelength. Using the geometry of the situation and the Pythagorean theorem, the path difference can be calculated, leading to the wavelength of 1.71 m.

Two Stereo Speakers Mounted 4 10.7 m10.7 \mathrm {~m}10.7 m From the Wall with the Speakers,what Is the Wavelength of Emit

Two Stereo Speakers Mounted 4 $10.7 \mathrm {~m}$ From the Wall with the Speakers,what Is the Wavelength of Emit