My question is given as follows: Straight line AB connects two point sources tha

Question

My question is given as follows:
Straight line AB connects two point sources that are5.50 m apart, emit 391 Hz sound waves of the same amplitude, andemit exactly out of phase. (a) What is theshortest distance between the midpoint of AB and a pointon AB where the interfering waves cause maximumoscillation of the air molecules? What are the (b)second and (c) third shortest distances? x = /2, = v / f, x = v /2f. Then it should be nx, where n = 0, 1, 2 repectivelyfor a, b, and c, but the answers I have are wrong. I came up with a) 0 m, b) 0.4386 c) 0.29241 Any help would be appreciated. My question is given as follows:
Straight line AB connects two point sources that are5.50 m apart, emit 391 Hz sound waves of the same amplitude, andemit exactly out of phase. (a) What is theshortest distance between the midpoint of AB and a pointon AB where the interfering waves cause maximumoscillation of the air molecules? What are the (b)second and (c) third shortest distances? x = /2, = v / f, x = v /2f. Then it should be nx, where n = 0, 1, 2 repectivelyfor a, b, and c, but the answers I have are wrong. I came up with a) 0 m, b) 0.4386 c) 0.29241 Any help would be appreciated.

Explanation / Answer

x = v/2f = 343/782 = 0.4386 m Hence x = n (x)   where n = 0,1,2,3 x = 0 since n = 0 x = 1 (0.4386) = 0.4386 m since n =1
x = 2 (0.4386) = 0.8772 m since n = 2

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