An x-ray photon is scattered from a free electron (mass m) at rest. The wavelength of the scattered photon is I′, and the final speed of the struck electron is v. (a) What was the initial wavelength I of the photon? Express your answer in terms of I′, v, and m. (Hint: Use the relativistic expression for the electron kinetic energy.) (b) Through what angle f is the photon scattered? Express your answer in terms of I,I ′, and m. (c) Evaluate your results in parts (a) and (b) for a wavelength of 5.10 x 10-3 nm for the scattered photon and a final electron speed of 1.80 x 108 m/s. Give f in degrees.
An x-ray photon is scattered from a free electron (mass m) at rest. The wavelength of the scattered photon is I′, and the final speed of the struck electron is v. (a) What was the initial wavelength I of the photon? Express your answer in terms of I′, v, and m. (Hint: Use the relativistic expression for the electron kinetic energy.) (b) Through what angle f is the photon scattered? Express your answer in terms of I,I ′, and m. (c) Evaluate your results in parts (a) and (b) for a wavelength of 5.10 x 10-3 nm for the scattered photon and a final electron speed of 1.80 x 108 m/s. Give f in degrees.
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An x-ray photon is scattered from a free electron (mass m) at rest. The wavelength of the scattered photon is I′, and the final speed of the struck electron is v. (a) What was the initial wavelength I of the photon? Express your answer in terms of I′, v, and m. (Hint: Use the relativistic expression for the electron kinetic energy.) (b) Through what angle f is the photon scattered? Express your answer in terms of I,I ′, and m. (c) Evaluate your results in parts (a) and (b) for a wavelength of 5.10 x 10-3 nm for the scattered photon and a final electron speed of 1.80 x 108 m/s. Give f in degrees.
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