Physics

Problem

An electron beam in a laboratory experiment travels in vacuum with a speed of

2.0\times10^{6}\,\text{m s}^{-1}

(well below the speed of light

c = 3.0\times10^{8}\,\text{m s}^{-1}

). a. (i) Calculate the speed of the electrons as a percentage of the speed of light. b. (ii) Treating the electrons as non-relativistic, determine the de Broglie wavelength associated with the beam. c. (iii) Express the wavelength obtained in part (ii) in ångström

(1\,\text{Å} = 10^{-10}\,\text{m})

and comment whether it lies in the X-ray region of the electromagnetic spectrum.

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