For a free electron determine the electron's de Broglie wavelength, momentum, kinetic energy and velocity when k = 50 nm-¹.
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- In an electron microscope, an electron displays wave like properties. To decrease the de Broglie wavelength of the electron, the electron gun must do what to the electron? Explain.The threshold frequency vo describes the smallest light frequency capable of ejecting electrons from a metal. Determine the minimum energy Eo of a photon capable of ejecting electrons from a metal with vo = 4.04 × 10¹4 s-¹. What is the maximum kinetic energy K Eelectron of electrons ejected from this metal by light with a wavelength of 255 nm? Eo = KEclectron =Calculate the de Broglie wavelength a)an electron with kinetic energy 50eV. b) an proton with kinetic energy 50eV. c) a 100 g bullet moving at 1200 m/s.
- Calculate the de Broglie wavelength (in fm) of a 5.8 MeV a particle emitted from an atomic nucleus whose diameter is approximately 1.6 × 10¯14, fm Calculate its minimum kinetic energy (in keV) according to the uncertainty principle. keV Could this particle exist inside the nucleus? Yes No Explain. m.An electron has the same momentum as the much more massive Helium nucleus. What is the relationship between their de Broglie wavelengths? a) The electron wavelength is longer b) The electron wavelength is shorter c) The electron wavelength is the same as that of the Helium nucleus d) None of the other responses are correct.In a TV tube an electric potential difference accelerates electrons from a rest position towards a screen. Just before reaching the screen, the electrons have a wavelength of 1.2×10−11m1.2×10-11m. Determine the kinetic energy of the electrons just before they reach the screen. Your final answer should have units of eV.