PHYSICS 5C Study Guide - Midterm Guide: Spherical Coordinate System, Binary Logarithm, Ideal Gas Law
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Write your responses below, on the back, or on the extra pages. Show your work, and take care to explain what you are doing; partial credit will be given for incomplete answers that demonstrate some conceptual understanding. Cross out or erase parts of the problem you wish the grader to ignore. Some potentially useful formulae are given on the back page. A particle in 3d space has a wavefunction1 in spherical coordinates. A r e re2i where a and are real constants. Solution: we must normalize the solution, which in spherical coordinates means. 0 e re2i r2dr sin d d = 1 e 2 rdr sin d d = 1. Since there is no dependence on , , the angular integrals just give a factor of 4 . 2 e re2i r (1) (2) (3) (4) (5) (6) (7) (8) Give the result in terms of the constants given.
