# Problem: Two identical loudspeakers, speaker 1 and speaker 2, are 2.0 apart and are emitting 1700- sound waves into a room where the speed of sound is 340 . Is the point 4.0 in front of speaker 1, perpendicular to the plane of the speakers, a point of maximum constructive interference, a point of perfect destructive interference, or something in between?

###### FREE Expert Solution

Constructive interference:

$\overline{){\mathbf{∆}}{\mathbf{x}}{\mathbf{=}}{\mathbf{m}}{\mathbf{\lambda }}}$

Destructive interference:

Speed, frequeny and wavelength relationship:

$\overline{){\mathbf{v}}{\mathbf{=}}{\mathbf{f}}{\mathbf{\lambda }}}$

From Pythagoras theorem:

s2 = (22 + 42)(1/2) = 4.472

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###### Problem Details

Two identical loudspeakers, speaker 1 and speaker 2, are 2.0 apart and are emitting 1700- sound waves into a room where the speed of sound is 340 . Is the point 4.0 in front of speaker 1, perpendicular to the plane of the speakers, a point of maximum constructive interference, a point of perfect destructive interference, or something in between?

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Wave Interference concept. You can view video lessons to learn Wave Interference Or if you need more Wave Interference practice, you can also practice Wave Interference practice problems .