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**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:

$\overline{){\mathbf{\u2206}}{\mathbf{x}}{\mathbf{=}}{\mathbf{m}}{\mathbf{\lambda}}}$

Destructive interference:

$\overline{){\mathbf{\u2206}}{\mathbf{x}}{\mathbf{=}}{\mathbf{(}}{\mathbf{m}}{\mathbf{}}{\mathbf{+}}{\mathbf{}}\frac{\mathbf{1}}{\mathbf{2}}{\mathbf{)}}{\mathbf{\lambda}}}$

Speed, frequeny and wavelength relationship:

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

From Pythagoras theorem:

s_{2} = (2^{2} + 4^{2})^{(1/2)} = 4.472

###### 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?

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