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TSF-2 Two point sound sources are vibrating together (they are in phase in time) producing sound with a wavelength of 2M. The sources are 2.50M apart. A receiver is at point P on the line AB as shown in the figure to the right. a) Show on the figure to the right the path of the wave from each source to a receiver at point P on line AB. Also show Ar, the difference in path lengths for the waves 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 at any point P on line AB? d) Find all values of the angle 8 shown on the figure for which maxima occur. e) What is the condition for Ar to give a minimum at point P? f) Find all values of 0 for which minima occur. y (B 400m 300m -2.50m

TSF-2 Two point sound sources are vibrating together (they are in phase in time) producing sound with a wavelength of 2M. The sources are 2.50M apart. A receiver is at point P on the line AB as shown in the figure to the right. a) Show on the figure to the right the path of the wave from each source to a receiver at point P on line AB. Also show Ar, the difference in path lengths for the waves 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 at any point P on line AB? d) Find all values of the angle 8 shown on the figure for which maxima occur. e) What is the condition for Ar to give a minimum at point P? f) Find all values of 0 for which minima occur. y (B 400m 300m -2.50m

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TSF-2 Two point sound sources are vibrating together (they are in phase in time) producing sound with a wavelength of 2M. The sources are 2.50M apart. A receiver is at point P on the line AB as shown in the figure to the right. a) Show on the figure to the right the path of the wave from each source to a receiver at point P on line AB. Also show Ar, the difference in path lengths for the waves 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 at any point P on line AB? d) Find all values of the angle 0 shown on the figure for which maxima occur. y (B 400m 300m e) What is the condition for Ar to giye a minimum at -2.50m point P? f) Find all values of 0 for which minima occur.
Transcribed Image Text:TSF-2 Two point sound sources are vibrating together (they are in phase in time) producing sound with a wavelength of 2M. The sources are 2.50M apart. A receiver is at point P on the line AB as shown in the figure to the right. a) Show on the figure to the right the path of the wave from each source to a receiver at point P on line AB. Also show Ar, the difference in path lengths for the waves 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 at any point P on line AB? d) Find all values of the angle 0 shown on the figure for which maxima occur. y (B 400m 300m e) What is the condition for Ar to giye a minimum at -2.50m point P? f) Find all values of 0 for which minima occur.
Answers TSF-1 a)-- b) Ar-5.50mcose e) 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°
Transcribed Image Text:Answers TSF-1 a)-- b) Ar-5.50mcose e) 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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