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Quiz10_a-d

# Quiz10_a-d - (x = A 1(x B 2 x is also a solution to the...

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NAME: __________________________________________ Quiz #10a: Phys270 1. [ 10 pts] Consider a particle in a rigid box of length L in the n=3 state. The rigid box has walls whose potential energy is infinitely high at x<=0 and x>=L, and a potential energy that is zero in between. a. [7 pts] Sketch a graph of | (x)| 2 . Label the points x=0 and x=L. b. [3 pts] Where, in terms of L, are the positions at which the particle is most likely to be found?

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Cos(60°) = 1/2 Sin(60°) = 2 / 3 Tan(60°)= 3 Cos(30°) = 2 / 3 Sin(30°) =1/2 Tan(30°)=1/ 3 Cos(45°) = 2 / 2 Sin(45°) = 2 / 2 Tan(45°)=1
NAME: __________________________________________ Quiz #10b: Phys270 1. [ 10 pts] Suppose that 1 (x) and 2 (x) are both solutions to the time- independent Schrodinger equation for the same potential energy U(x). Prove that the superposition

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Unformatted text preview: (x) = A 1 (x) + B 2 ( x) is also a solution to the time-independent Schrodinger equation. Cos(60°) = 1/2 Sin(60°) = 2 / 3 Tan(60°)= 3 Cos(30°) = 2 / 3 Sin(30°) =1/2 Tan(30°)=1/ 3 Cos(45°) = 2 / 2 Sin(45°) = 2 / 2 Tan(45°)=1 NAME: __________________________________________ Quiz #10c: Phys270 1. [10 pts] An electron in a finite potential well has a 1.0 nm penetration distance into the classically forbidden region. How far below U is the electron’s total energy? Cos(60°) = 1/2 Sin(60°) = 2 / 3 Tan(60°)= 3 Cos(30°) = 2 / 3 Sin(30°) =1/2 Tan(30°)=1/ 3 Cos(45°) = 2 / 2 Sin(45°) = 2 / 2 Tan(45°)=1 NAME: __________________________________________ Quiz #10d: Phys270 1. [10 pts] Sketch the n=6 wave function for the potential energy shown below:...
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