At what angle with the door will the technician observe the first minimum in sound intensity if the vertical opening is 0. Outside the door, on a line perpendicular to the opening in the door, a jet engine makes a 600-Hz sound. Figure 1 shows a single slit diffraction pattern. At what angle to the incident direction are the boats inside the harbor most protected against wave action?Īn aircraft maintenance technician walks past a tall hangar door that acts like a single slit for sound entering the hangar. Light passing through a single slit forms a diffraction pattern somewhat different from those formed by double slits or diffraction gratings. Ocean waves of 20.0-m wavelength approach the opening straight on. (This will greatly reduce the intensity of the fifth maximum.)Ī water break at the entrance to a harbor consists of a rock barrier with a 50.0-m-wide opening. Find the ratio of the width of the slits to the separation between them, if the first minimum of the single slit pattern falls on the fifth maximum of the double slit pattern. Since the length of the arc is N E 0 for any, the radius r of the arc must decrease as increases (or equivalently, as the phasors form tighter spirals). However, when rays travel at an angle $latex \boldsymbol $, at what angle is the second-order minimum? (b) What is the angle of the third-order minimum? (c) Is there a fourth-order minimum? (d) Use your answers to illustrate how the angular width of the central maximum is about twice the angular width of the next maximum (which is the angle between the first and second minima).ġ2: A double slit produces a diffraction pattern that is a combination of single and double slit interference. With N, the phasor diagram approaches a circular arc of length N E 0 and radius r. Such treatments are applied to a wave passing through one or more slits whose width is specified as a proportion of the wavelength. When they travel straight ahead, as in Figure 2(a), they remain in phase, and a central maximum is obtained. Diffraction from slits 1 language Read Diffraction processes affecting waves are amenable to quantitative description and analysis. (Each ray is perpendicular to the wavefront of a wavelet.) Assuming the screen is very far away compared with the size of the slit, rays heading toward a common destination are nearly parallel. These are like rays that start out in phase and head in all directions. According to Huygens’s principle, every part of the wavefront in the slit emits wavelets. Here we consider light coming from different parts of the same slit. The analysis of single slit diffraction is illustrated in Figure 2. (b) The drawing shows the bright central maximum and dimmer and thinner maxima on either side. The central maximum is six times higher than shown. Monochromatic light passing through a single slit has a central maximum and many smaller and dimmer maxima on either side. In contrast, a diffraction grating produces evenly spaced lines that dim slowly on either side of center. Note that the central maximum is larger than those on either side, and that the intensity decreases rapidly on either side. ![]() Light passing through a single slit forms a diffraction pattern somewhat different from those formed by double slits or diffraction gratings. Discuss the single slit diffraction pattern.
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