To study the wave nature of electrons, some physics studentspropose to accelerat

Question

To study the wave nature of electrons, some physics studentspropose to accelerate a group of electrons through a voltage sothat the de Broglie wavelength of the electrons will equal that oflight(about 600nm). Interference of the electron waves can then beobserved easily by passing the electrons through double slits usedto study light interference. (a) Calculate the voltage throughwhich the electrons should be accelerated. To study the wave nature of electrons, some physics studentspropose to accelerate a group of electrons through a voltage sothat the de Broglie wavelength of the electrons will equal that oflight(about 600nm). Interference of the electron waves can then beobserved easily by passing the electrons through double slits usedto study light interference. (a) Calculate the voltage throughwhich the electrons should be accelerated.

Explanation / Answer

The debroglie wavelength is given as        = h /[2meV] Acclerating potential     V = h^2 / ^2(2me)        = (6.63x10^-34)^2 /(600x10^-9)^2 [ 2 (9.11x10^-31)(1.6x10^-19C) ]        = 4.18x10^-6 Volts        = 4.2V

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