TSF-2 Two point sound sources are vibrating together (they arein phase in time) producing sound with a wavelength of2M. The sources are 2.50M apart. A receiver is at pointP on the line AB as shown in the figure to the right.a) Show on the figure to the right the path of the wavefrom each source to a receiver at point P on line AB.Also show Ar, the difference in path lengths for thewaves from the two sources arriving at point P.b) Write Ar in terms of the angle 0 shown in the figure.c) What is the condition for Ar to give a maximum atany point P on line AB?d) Find all values of the angle 0 shown on the figurefor which maxima occur.y (B400m300me) What is the condition for Ar to giye a minimum at-2.50mpoint P?f) Find all values of 0 for which minima occur. AnswersTSF-1 a)-- b) Ar-5.50mcosee) Ar-(m+½)^, m-0,1,2,3.. f) 79.5°, 56.9°, 24.6°TSF-2 a)- b) Ar-2.50mcose c) Ar=m2, m0,1,2,3.. d) 90.0°, 36.9°e) Ar=(m+½)^, m-0,1,2,3.. f) 66.4°c) Ai=m^, m=0,1,2,3.. d) 90.0°, 68.7°, 43.3°

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