Problem 26.01 Part A Two small stereo speakers A and B that are 1.40m apart are

Question

Problem 26.01 Part A Two small stereo speakers A and B that are 1.40m apart are sending out sound of wavelength 33.9cm in all directions and all in phase. A person at point P starts out equidistant from both speakers and walks (see the figure (Figure 1)) so that he is always 1.50m from speaker B. Limit your solutions to the ca For what values of z will the sound this person hears be maximally reinforced? Enter you answers in decreasing order separating them with commas. ses where 1.50 m cm Submit My Answers Give Up Part B For what values of z will the sound this person hears be cancelled? Figure 1 1 of 1 Enter you answers in decreasing order separating them with commas. 1.50 m cm Submit My Answers Give Up

Explanation / Answer

A)

the condition to hear the maximum intensity is,

the path difference =n*lambda

x2-x1=n*lambda

150-x1=n*33.9

x1=150-n*40 (approximatly)

if n=0,x1=150 cm

if n=1,x1=110 cm

if n=2,x1=70 cm

if n=3,x=30 cm

hence

x values(in cm) are,150,110,70,30

B)

the condition to hear the minimum intensity is,

the path difference =(n+1/2)*lambda

x2-x1=(n+1/2)*lambda

150-x1=(n+1/2)*33.9

x1=150-(n+1/2)*40   (approximatly)

if n=0,x1=130 cm

if n=1,x1=90 cm

if n=2,x1=50 cm

if n=3,x=10 cm

hence

x values(in cm) are, 130,90,50.10

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