A planar cross section through two spherical waves emanating from the sources S1 and S2 in the plane is shown in the figure. Sı and S2 are in phase. The black circles are one and two wavelengths from their respective sources. The lighter circles are one half and one and a half wavelengths distant from their respective sources. If the waves shown arriving at P2 both arrive with amplitude A, the resultant amplitude at point P2 is a. 0. b. 1 A. c. A. d. 3 A. e. 24.

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I already know the answer to this practice problem, and it is shown is the image. I do not know how to get to the answer though, so seeing the steps and equations would be much appreciated.

A planar cross section through two spherical waves emanating from the sources S1 and S2 in the plane is shown in the figure. Sı and S2 are in phase. The black circles are one and two wavelengths from their respective sources. The lighter circles are
one half and one and a half wavelengths distant from their respective sources. If the waves shown arriving at P2 both arrive with amplitude A, the resultant amplitude at point P2 is
a.
0.
b. 1
A.
c. A.
d. 3
A.
e.
24.
Transcribed Image Text:A planar cross section through two spherical waves emanating from the sources S1 and S2 in the plane is shown in the figure. Sı and S2 are in phase. The black circles are one and two wavelengths from their respective sources. The lighter circles are one half and one and a half wavelengths distant from their respective sources. If the waves shown arriving at P2 both arrive with amplitude A, the resultant amplitude at point P2 is a. 0. b. 1 A. c. A. d. 3 A. e. 24.
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