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quiz 1 - Quiz 1 CHEM 482 please print your name There are...

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Quiz 1 CHEM 482 ______________________________ September 16, 2009 please print your name There are 25 total points on this quiz, as indicated in problems 1 - 2. There are no problems on page 1, just information that may be useful to you. Schrödinger Equation 1D TDSE separation of variables 1D TISE Integration using spherical coordinates: ; all space: Integrals:
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2 Problem 1 An unnormalized wavefunction of a particle confined to is: where A is a constant. a. (8 points) Find A and determine the probability that the particle is between L/4 and 3L/4. Show all work. b. (4 points) Show that is an eigenfunction of the Hamiltonian with V=0, and find the associated energy.
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3 Problem 2 The apparatus sketched above could be used to experimentally explore the photoelectric effect. It consists of two metal plates under vacuum that are connected in a circuit. The current, i, is measured as a function of the applied voltage, V, and the frequency and intensity of light that is incident on one of the plates. In parts (a) and (b), assume the light frequency is large enough to eject electrons.
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