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)

Inquiry into Physics

8th Edition

ISBN:9781337515863

Author:Ostdiek

Publisher:Ostdiek

Chapter9: Optics

Section: Chapter Questions

Problem 7Q

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