CHEM 120A Study Guide - Midterm Guide: Matter Wave, Wave Function, Electronvolt

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8 Jan 2019
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Question 1: multiple choice problems: 7 3 = 21 points: at a nite potential step, the 2nd derivative of the wavefunction. Question 2: (15 points) consider applying the heisenberg uncertainty principle, p x problem of a particle in a one-dimensional box, with box length a. 2a (b) (5 points) from your estimate of p estimate the lowest possible energy of the system. The lowest allowed energy level for the particle in a box has a non-zero kinetic energy. This kinetic energy can be estimated from p: 8ma2 (c) (5 points) compare your result for the lowest energy of the particle in a box with the result from classical mechanics and discuss the e ect of increasing the mass of the particle. From quantum, we have the lowest energy of. From classical mechanics, we have the lowest energy of 0, (cid:18)from e =