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The intensity pattern from the two slits for a single wavelength looks like the one shown on the left side of the figure. (Figure 1) If another slit, separated from one of the original slits by a distance d, is added, how will the intensity at the original peaks change? By examining the phasors for light from the two slits, you can determine how the new slit affects the intensity. Phasors are vectors that correspond to the light from one slit. The length of a phasor is proportional to the magnitude of the electric field from that slit, and the angle between a phasor and the previous slit's phasor corresponds to the phase difference between the light from the two slits. Recall that at points of constructive interference, light from the original two slits has a phase difference of 2n, which corresponds to a complete revolution of one phasor relative to the first. Notice that, as shown in the figure, undergoing a complete revolution leaves the phasor pointing in the same direction as the phasor from the other slit. Think about the phase difference between the new slit and the closer of the two old slits and what this implies about the direction of the phasor for the new slit. • View Available Hint(s)

The intensity pattern from the two slits for a single wavelength looks like the one shown on the left side of the figure. (Figure 1) If another slit, separated from one of the original slits by a distance d, is added, how will the intensity at the original peaks change? By examining the phasors for light from the two slits, you can determine how the new slit affects the intensity. Phasors are vectors that correspond to the light from one slit. The length of a phasor is proportional to the magnitude of the electric field from that slit, and the angle between a phasor and the previous slit's phasor corresponds to the phase difference between the light from the two slits. Recall that at points of constructive interference, light from the original two slits has a phase difference of 2n, which corresponds to a complete revolution of one phasor relative to the first. Notice that, as shown in the figure, undergoing a complete revolution leaves the phasor pointing in the same direction as the phasor from the other slit. Think about the phase difference between the new slit and the closer of the two old slits and what this implies about the direction of the phasor for the new slit. • View Available Hint(s)

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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Ba375ea89fe#10001 Constants | Periodic Table Learning Goal: To understand multislit interference and how it leads to Part C the design of diffraction gratings. Diffraction gratings are used in modern spectrometers to separate the wavelengths of visible light. The working of a diffraction grating may be understood through multislit interference, which can be understood as an extension of two-slit interference. In this problem, you will follow the progression from two-slit to many-slit interference to arrive at the important equations describina diffraction The intensity pattern from the two slits for a single wavelength looks like the one shown on the left side of the figure. (Figure 1) If another slit, separated from one of the original slits by a distance d, is added, how will the intensity at the original peaks change? By examining the phasors for light from the two slits, you can determine hơw the new slit affects the intensity. Phasors are vectors that correspond to the light from one slit. The length of a phasor is proportional to the magnitude of the electric field from that slit, and the angle between a phasor and the previous slit's phasor corresponds to the phase difference between the light from the two slits. Recall that at points of constructive interference, light from the original two slits has a phase difference of 2, which corresponds to a complete revolution of one phasor relative to the first. Figure < 1 of 1 Notice that, as shown in the figure, undergoing a complete revolution leaves the phasor pointing in the same direction as the phasor from the other slit. Think about the phase difference between the new slit and the closer of the two old slits and what this implies about the direction of the phasor for the new slit. 410 > View Available Hint(s) Slit 1 Slit 2 Phasor Diagram Slit 1 Slit 2 The peak intensity increases. New Slit The peak intensity remains constant. (a) N= 2 O The peak intensity decreases. Submit
Transcribed Image Text:Ba375ea89fe#10001 Constants | Periodic Table Learning Goal: To understand multislit interference and how it leads to Part C the design of diffraction gratings. Diffraction gratings are used in modern spectrometers to separate the wavelengths of visible light. The working of a diffraction grating may be understood through multislit interference, which can be understood as an extension of two-slit interference. In this problem, you will follow the progression from two-slit to many-slit interference to arrive at the important equations describina diffraction The intensity pattern from the two slits for a single wavelength looks like the one shown on the left side of the figure. (Figure 1) If another slit, separated from one of the original slits by a distance d, is added, how will the intensity at the original peaks change? By examining the phasors for light from the two slits, you can determine hơw the new slit affects the intensity. Phasors are vectors that correspond to the light from one slit. The length of a phasor is proportional to the magnitude of the electric field from that slit, and the angle between a phasor and the previous slit's phasor corresponds to the phase difference between the light from the two slits. Recall that at points of constructive interference, light from the original two slits has a phase difference of 2, which corresponds to a complete revolution of one phasor relative to the first. Figure < 1 of 1 Notice that, as shown in the figure, undergoing a complete revolution leaves the phasor pointing in the same direction as the phasor from the other slit. Think about the phase difference between the new slit and the closer of the two old slits and what this implies about the direction of the phasor for the new slit. 410 > View Available Hint(s) Slit 1 Slit 2 Phasor Diagram Slit 1 Slit 2 The peak intensity increases. New Slit The peak intensity remains constant. (a) N= 2 O The peak intensity decreases. Submit
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