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hw6 - 3 Beiser(textbook Chapter 3 Exercise 13 4 A photon...

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PHYS126 Spring 2011 Homework 6, Due March 18, beginning of lecture. 1. X-rays of wavelength 0.2 nm are diffracted off a crystal. The first order Bragg maximum is measured at a glancing angle of 17.5 degrees. (a) What is the spacing of the planes that are parallel to the incident surface? (b) Find the glancing angles for all the higher order maxima. 2. A 1-g blackbody is initially at rest in space, not under any gravitational force. A light beam with intensity of 100 W shines on it for 1000 s. (a) Find the total energy and momentum absorbed. (b) Find the body’s final velocity using momentum conservation. (c) Find the body’s final kinetic energy. Why is it different from what you got in (a)?
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Unformatted text preview: 3. Beiser (textbook), Chapter 3, Exercise 13. 4. A photon and an electron have the same total energy. (a) Using the relativistic relation between total energy E and momentum p, show that the electron and photon have different wavelengths. (b) Show that their wavelengths approach each other when the energy of the electron becomes much larger than m e c 2 . 5. Consider an electron confined to a region of 5 fm (comparable to nuclear size). Find the minimum possible kinetic energy of the electron in MeV. Only consider motion along one direction, and use the relativistic relation between total energy E and momentum p. 6. Beiser (textbook), Chapter 3, Exercise 37....
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