There are two speakers at the front of the room. Each is outputting a 250Hz pure

Question

There are two speakers at the front of the room. Each is outputting a 250Hz pure tone. For each of the following situations, will you hear constructive interference (a loud noise) or destructive interference (soft or no noise). represents the wavelength of the 250Hz tone Destructive You are 2.5 away from speaker A; 3 away from speaker B and at the speakers the waves are exactly in phase Constructive You are 2 away from speaker A; 3 away from speaker B and at the speakers the waves are exactly in phase Constructive You are 4 away from speaker A; 5 away from speaker B and at the speakers the waves are exactly out of phase You are 3.5 away from speaker A; 3 away from speaker B and at the Destructive speakers the waves are exactly out of phase Submit Answer Incorrect. Tries 1/10 Previous Tries

Explanation / Answer

for inphase

for constructive interference path difference = m*lambda ( m = 0 1, 2, 3 , 4 , 5, .......)

for out of phase

for constructive interference path difference = m*lambda/2 ( m = 1, 3 , 5, .......)

path difference = 3lambda - 2.5 lambda = 0.5 lambda

phase diference = (2pi/lambda)*path difference = 4pi

DESTRUCTIVE INTERFERENCE

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path difference = 3lambda - 2 lambda = 1 lambda

phase diference = (2pi/lambda)*path difference = 2pi

CONSTRUCTIVE INTERFERENCE

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path difference = 5lambda - 4 lambda = lambda

phase difference = (2pi/lambda)*path difference = 2pi

DESTRUCTTIVE INTERFERENCE

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path difference = 3.5lambda - 3 lambda = 0.5 lambda

phase diference = (2pi/lambda)*path difference = 4pi

CONSTRUCTIVE INTERFERENCE

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