Townsend 1.34: Starting from first principles, show that the probability that a photon of wavelength 2 hits a photomultiplier center on a point P in the detection plane that makes an angle Owith the horizontal for a grating composed of three very narrow slits each separated by a distance d is given by Prob = r2(1 +4 cos 4 + 4cos2 ¢),where is the probability that the photon would strike the photomultipliers with a single slit open and 2Td sin 0/ = kd sin0 =

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Chapter1: Units, Trigonometry. And Vectors
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Townsend 1.34: Starting from first principles, show that the probability that a photon of
wavelength 2 hits a photomultiplier center on a point P in the detection plane that makes an
angle Owith the horizontal for a grating composed of three very narrow slits each separated by
a distance d is given by Prob = r2(1 +4 cos 4 + 4cos2 ¢),where is the probability that the
photon would strike the photomultipliers with a single slit open and
2Td sin 0/
= kd sin0 =
Transcribed Image Text:Townsend 1.34: Starting from first principles, show that the probability that a photon of wavelength 2 hits a photomultiplier center on a point P in the detection plane that makes an angle Owith the horizontal for a grating composed of three very narrow slits each separated by a distance d is given by Prob = r2(1 +4 cos 4 + 4cos2 ¢),where is the probability that the photon would strike the photomultipliers with a single slit open and 2Td sin 0/ = kd sin0 =
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