A photon has an energy equal to the kinetic energy of an

Chapter 40, Problem 47

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A photon has an energy equal to the kinetic energy of an electron with speed u, which may be close to the speed of light c. (a) Calculate the ratio of the wavelength of the photon to the wavelength of the electron. (b) Evaluate the ratio for the particle speed u 5 0.900c. (c) What If? What would happen to the answer to part (b) if the material particle were a proton instead of an electron? (d) Evaluate the ratio for the particle speed u 5 0.001 00c. (e) What value does the ratio of the wavelengths approach at high particle speeds? (f) At low particle speeds?

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