CHEM 120A Study Guide - Midterm Guide: Wave Vector, Bohr Model, Wave Function
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1. (a) (6 points) to nd the wave vector k we use the equation: Plugging in for the values given in the problem: p = k k = p/ = m v/ = 2 1010m 1 (b) (6 points) the condition for di raction for a particle on a slit is (i. e. interference occurs when): n = dsin( ) While the maximum value of sin( ) is 1, to observe di raction d must be on the order of . 3. (a) (7 points) the probability of measuring a certain value of energy is given by. We thus have: p (e0) = |p2/3|2 = 2/3 and p (e1) = | p1/3|2 = 1/3 . (b) (7 points) one can either calculate h | h| i or recognize that. |an|2en = (2/3)(cid:16) h | h| i = hei = xn. 3 z 0x 1ei(e0 e1)t/ with (e1 e0)/ = .
