Quiz2Solutions.pdf - Physics 7C Quiz 2 First Name Last Name...

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Physics 7C Quiz 2 First Name Last Name ID Section Two speakers playing sinusoidal tones with the same unknown frequency f are placed 8 meters apart, as shown in the fi gure below. When he stands midway between the two speakers, Ali fi nds that he hears almost no sound. Speaker 1 Speaker 2 8 m 4 m a). What is the fi xed phase constant di ff erence Δ φ 0 = φ 1 φ 2 between the waves emitted by the two speakers? (Note: there are multiple possible correct answers; please give only one.) Since Ali hears almost no sound, we know that the point midway between the two speakers must be a point of destructive interference, and therefore that ΔΦ must equal an old multiple of π . Since Ali is midway between the two speakers, Δ x = 0, and we can conclude the only source of phase di ff erence is Δ φ , which must therefore also be an odd multiple of π . Hence Δ φ 0 = π is a possible correct answer. b). Ali now walks three meters to the right (i.e., towards speaker 2). As he walks, he hears the sound of the two speakers fi
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