(c) Two identical speakers are placed at the positions X and Y, as shown in the following figure. The separation distance between the positions X and Y is 4.9 m. When both speakers are working in phase under a frequency of 159 Hz, calculate the minimum distances of YZ and XZ, such that destructive interference would occur at the position Z. The speed of sound is 344 m/s. Hint: XY>YZ. X Z Two speakers at the positions X and Y (not to scale)
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- In the figure, two loudspeakers, separated by a distance of d1 = 2.63 m, are in phase. Assume the amplitudes of the sound from the speakers are approximately the same at the position of a listener, who is d2 = 4.34 m directly in front of one of the speakers. Consider the audible range for normal hearing, 20 Hz to 20 kHz. (a) What is the lowest frequency that gives the minimum signal (destructive interference) at the listener's ear? (b) What is the lowest frequency that gives the maximum signal (constructive interference) at the listener's ear? (Take the speed of sound to be 343 m/s.)Problem 1: The figure below shows four identical point sources of sound that are uniformly spaced on an x-axis. Sq d- d S3 d S4 P The sources emit sound at the same wavelength X and same amplitude A, and they emit in phase. A point P is shown on the x axis. Assume that as the sound waves travel to P, the decrease in their amplitude is negligible. What multiple of A is the amplitude of the net wave at P if distance d in the figure is (a) X/4, (b) A/2, and (c) X?Question in attachments
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- Speaker 1 is at x = 0 and speaker 2 is to the right and facing it at x = 8 m. The speakers are to the same amplifier, which plays a tone at 327 Hz. Find the x-coordinate in meters of the first point of constructive interference that is right of center, if the temperature in the room is 18°C. connected continuous Take the speed of sound to be T v = (331 m/s) √ 273 K X = 3The speaker depicted below (See slide 10 of chapter 16 for a detailed explanation) emits a sound of frequency 779 Hz. Due to the path difference (r2 - r1) the receiver detects a constructive interference. Find the distance by which r2 needs to be adjusted to detect the very next destructive interference. (Take speed of sound as 343 m/s).