What is the kinetic energy of each electron in a beam of electrons if the beam produces a diffraction pattern of a crystal which is similar to that of a beam of 1.00 eV neutrons? Note: The electron mass is 9.11 × 10^-³¹ kg; and the neutron mass is 1.67 × 10^-²⁷ kg. A)1830 eV B)42.8 eV C)3.35 × 10⁶ eV D)5.46 × 10^-⁴ eV E)2.34 × 10^-² eV

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Quizplus · Accepted Answer

The de Broglie wavelength is the same for both electrons and neutrons. Using the relation λ = h/p and equating the momentum for both, the kinetic energy of electrons is calculated using the mass ratio. The result is approximately 1830 eV.

What Is the Kinetic Energy of Each Electron in a Beam