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two speakers face each other, and they each emit a sound of wavelength λ. one speaker is 180∘ out of phase with respect to the other. if we separate the speakers by a distance 1.5λ, how far from the left-most speaker should we place a microphone in order to pick up the loudest sound? ignore reflections from nearby surfaces. select all that apply.

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saadhussain514
Two speakers face each other, and they each emit a sound of wavelength λ. one speaker is 180∘ out of phase with respect to the other. if we separate the speakers by a distance  1.5λ.

The speakers represent antinodes of the resulting standing wave pattern.

In order to pick up the loudest sound the following distances should work:

a). 0λ
b). λ
c). 1/2 λ
superman1987

The answer is

a). 0λ

b). λ

c). 1/2 λ

The explanation:

-when The speakers represent antinodes of the resulting standing wave pattern.

-when other points along the medium that undergo vibrations between a large positive and large negative displacement. These are the points that undergo the maximum displacement during each vibrational cycle of the standing wave. In a sense, these points are the opposite of nodes, and so they are called antinodes.

-In order to pick up the loudest sound the following distances should work:

a). 0λ

b). λ

c). 1/2 λ

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