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Unformatted text preview: 6 m/s? (the mass of the electron is 9.11 x 10-28 g) Planck's constant (h) is 6.63 x 10-34 J s (also, recall that 1J = 1 kg m 2 /s 2 ) converting g to kg: Converting from kg m 2 /s 2 to Joules: The relationship between energy ( E ) and frequency ( ) for electromagnetic radiation (Planck's quantum of energy) The relationship between wavelength ( ) and frequency ( ) for electromagnetic radiation From these relationships, we can determine the relationship between energy and wavelength: or, rearranging: The relationship between wavelength ( ) and momentum (m*v) for DeBroglie's "particle wave" From the above relationships, we can calculate the relationship between energy ( E ) and momentum (m*v) Simplify, and solve for E : The highest velocity (v) attainable by matter is the speed of light ( c ), therefore, the maximum energy would seem to be: or...
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