A person is standing at a distance x from a stereo speaker that is emitting a co

Question

A person is standing at a distance x from a stereo speaker that is emitting a continuous tone. She hears the sound directly from the speaker, as well as the sound reflected from a wall a distance y(x>y) away.

The path difference between these two sound waves as they reach the listener is

2y

2x

y-x

2y-x

x+y

A person is standing at a distance x from a stereo speaker that is emitting a continuous tone. She hears the sound directly from the speaker, as well as the sound reflected from a wall a distance y(x>y) away. The path difference between these two sound waves as they reach the listener is 2y 2x y-x 2y-x x+y

Explanation / Answer

The distance travelled by the wave that directly reaches the person is x, and the distance travelled by the wave that reaches after reflection is 2y+x. Therefore, the path difference is 2y+x-x=2y

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