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Mid3 Problem 4 270 11 solution

# Mid3 Problem 4 270 11 solution - (use nonrelativistic...

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Problem 4: Solution The electron beam in a cathode-ray tube is accelerated through a potential difference V. The electrons then pass through a pair of slits separated a distance d apart. An interference pattern is observed on a screen placed at a distance L from the slits. In terms of the given quantities and known constants, a. Determine the kinetic energy and momentum of one of the electrons just before it passes through the double slit?

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Unformatted text preview: (use nonrelativistic approximations) K=eV=p 2 /2m=(1/2)mv 2 p=(2eV/m) 1/2 b. What is the de Broglie wavelength associated to the electrons before they pass through the slits? λ =h/p = h/(2eVm) 1/2 c. Using the small angle approximation (sin θ ≈ θ ), at what angle is the first zero-intensity point above the central axis? Condition for first minimum dsin θ = λ /2 sin θ ≈ θ θ ≈ λ /2d=h/[d(2eVm) 1/2 ]...
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Mid3 Problem 4 270 11 solution - (use nonrelativistic...

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