Position of a Single Photon at a Screen. Consider monochromatic light of wavelength X. incident on an infinite screen in the plane z = 0, with an intensity I(p) = Io exp(-p/po), where p = Vx2 + y². Assume that the intensity of the source is reduced to a level at which only a single photon strikes the screen. (a) Find the probability that the photon strikes the screen within a radius po of the origin. (b) If the incident light contains exactly 106 photons, how many photons strike within a circle of radius po on average? %3D

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Position of a Single Photon at a Screen. Consider monochromatic light of wavelength A.
incident on an infinite screen in the plane z = 0, with an intensity I(p) =
where p = V? + y2. Assume that the intensity of the source is reduced to a level at which
only a single photon strikes the screen.
13.1-6
Io exp(-p/po),
(a) Find the probability that the photon strikes the screen within a radius po of the origin.
(b) If the incident light contains exactly 106 photons, how many photons strike within a
circle of radius po on average?
Transcribed Image Text:Position of a Single Photon at a Screen. Consider monochromatic light of wavelength A. incident on an infinite screen in the plane z = 0, with an intensity I(p) = where p = V? + y2. Assume that the intensity of the source is reduced to a level at which only a single photon strikes the screen. 13.1-6 Io exp(-p/po), (a) Find the probability that the photon strikes the screen within a radius po of the origin. (b) If the incident light contains exactly 106 photons, how many photons strike within a circle of radius po on average?
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