A square is 3.80 m on a side, and point A is the midpoint of one of the sides. On the side opposite this spot, two in-phase loudspeakersare located at adjacent corners, as shown in the figure. Standing at point A, you hear a loud sound because constructive interferenceoccurs between the identical sound waves coming from the speakers. As you walk along the side of the square toward either emptycorner, the loudness diminishes gradually but does not entirely disappear until you reach either empty corner, where you hear nosound at all. Thus, at each empty corner destructive interference occurs. Find the wavelength of the sound waves.Number iUnits

Approach to solving the question:Condition for destructive wavelength and Pythagoras TheoremDetailed…

Answered: A square is 3.80 m on a side, and point…

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter35: Diffraction And Interference

Section: Chapter Questions

Problem 45PQ

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A riverside warehouse has several small doors facing the river. Two of these doors are open as shown in Figure P27.17. The walls of the warehouse are lined with sound-absorbing material. Two people stand at a distance L = 150 in from the wall with the open doors. Person A stands along a line passing through the midpoint between the open doors, and person B stands a distance y = 20 m to his side. A boat o the river sounds its horn. To person A, the sound is loud and clear. To person B, the sound is barely audible. The principal wavelength of the sound waves is 5.00 m. Assuming person B is at the position of the first minimum, determine the distance d between the doors, center to center.
Consider a single-slit diffraction pattern for =589 nm, projected on a screen that is 1.00 m from a slit of width 0.25 mm. How far from the center of the pattern are the centers of the first and second dark fringes?
An effect analogous to two-slit interference can occur with sound waves, instead of light. In an open field, two speakers placed 1.30 m apart are powered by a single-function generator producing sine waves at 1200-Hz frequency. A student walks along a line 12.5 m away and parallel to the line between the speakers. She hears an alternating pattern of loud and quiet, due to constructive and destructive interference. What is (a) the wavelength of this sound and (b) the distance between the central maximum and the first maximum (loud) position along this line?
Two slits are separated by 0.180 mm. An interference pattern is formed on a screen 80.0 cm away by 656.3-nm light. Calculate the fraction of the maximum intensity a distance y = 0.600 cm away from the central maximum.
What is the angular width of the central fringe of the interference pattern of (a) 20 slits separated by d=2.0103 mm? (b) 50 slits with the same separation? Assume that =600 nm.
Suppose that the two waves in the figure have wavelength 454 nm in air. What multiple of A gives their phase difference when they emerge if (a) n, - 1.59 and n₂-1.69, and L- 9.30 um: (b) n, - 1.71 and n₂ - 1.81, and L- 9.30 um; and (c) n; -1.68 and n₂-188, and L- 3.69 μm My M₁ (a) Number (b) Number (c) Number Units 'Units Units
In the figure, two isotropic point sources of light (5, and S₂) are separated by distance 2.60 um along ay axds and emit in phase at wavelength 920 nm and at the same amplitude. A light detector is located at point Pat coordinate xp on the x axis. What is the greatest value of xp at which the detected light is minimum due to destructive interference? Number Units
Two loudspeakers are mounted on a wall, one h = 3.34 m above the other. Exactly 8.00 meters to the right of the midpoint, a sensor rests at point O. Point O is equally distant from each loudspeaker. The loudspeakers are driven by the same tone generator and vibrate in phase at 460 Hz. It is possible to create a condition of destructive interference at Point O by changing one or both of the path lengths (r1 and r2) between speaker and sensor. Suppose that this is done by raising the upper speaker while leaving the lower speaker in place. What is the smallest vertical distance (in m) that you would need to raise the upper speaker by, in order to create destructive interference at Point O? (The speed of sound waves in air is 343 m/s.) __________________m
Two out of phase loudspeakers are X distance apart. A person is 6 meters from one and 4 from another. What is the third-lowest frequency the person will hear constructive interference?
Two narrow parallel slits separated by 0.850 mm are illuminated by 600-nm light, and the viewing screen is 2.80 m away from the slits. (a) What is the phase difference between the two interfering waves on a screen at a point 2.50 mm from the central bright fringe? (b) What is the ratio of the intensity at this point to the intensity at the center of a bright fringe?
Two identical audio speakers connected to the same amplifier produce in-phase sound waves with a single frequency that can be varied between 340 and 575 HzHz . The speed of sound is 340 m/sm/s . You find that where you are standing, you hear minimum-intensity sound If one of the speakers is moved 39.8 cmcm toward you, the sound you hear has maximum intensity. What is the frequency of the sound? Express your answer in hertz. How much closer to you from the position in part B must the speaker be moved to the next position where you hear maximum intensity? Express your answer in meters.
Two loudspeakers are mounted on a rack, one h = 2.74 m above the other. Exactly 8.00 meters to the right of the midpoint, a microphone rests at point O. Point O is equally distant from each loudspeaker. The loudspeakers are driven by the same tone generator and vibrate in phase at 390 Hz. It is possible to create a condition of destructive interference at Point O by changing one or both of the path lengths (r1 and r2) between speaker and microphone. Suppose that this is done by raising the upper speaker while leaving the lower speaker in place. What is the smallest vertical distance (in m) that you would need to raise the upper speaker by, in order to create destructive interference at Point O? (The speed of sound waves in air is 343 m/s.)

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