Two small stereo speakers A and B that are 1.40m apart are sending out sound of

Question

Two small stereo speakers A and B that are 1.40m apart are sending out sound of wavelength 34.5cm 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 cases where x?1.50m.

Part A

For what values of x will the sound this person hears be maximally reinforced?

Enter you answers in decreasing order separating them with commas.

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Figure 1 of 1

Explanation / Answer

1.5 m = 150 cm

wavelength = 34.5 cm

150cm = 138 +12 = 4( 34.5) + 12 cm = 4(wavelength) + 12 cm

sound is maximally reinforced when

x = n ( wavelength) +12 cm where n<=4 because x<=150

x = n(34.5) + 12

x = 34.5 +12 , 2(34.5) +12 , 3(34.5) + 12 , 4(34.5) + 12

x = 46.5 cm , 81 cm, 115.5 cm , 150cm

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