Exam 15: Applications of the Schrodinger Equation

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An electron confined to a one-dimensional box of length L = 0.3 nm makes a transition from state n = 4 to state n = 2. The wavelength of the photon emitted is

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  For the finite square well shown in the figure, For the finite square well shown in the figure,

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The energy in the ground state of an electron confined to a one-dimensional box of length L = 0.3 nm is

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The probability of penetration of a rectangular barrier __________ with the square root of the relative barrier height.

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The energy in the first excited state of an electron confined to a one-dimensional box of length L = 0.2 nm is

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The dependent variable in the Schrödinger equation is

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A proton of energy E0 traveling in a region in which the potential energy is zero is incident on a potential barrier of height U0 = 0.5E0. The probability that the proton will be transmitted is

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The probability of penetration of a rectangular barrier decreases exponentially with the ________ of the barrier height.

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A particle of kinetic energy E0 traveling in a region in which the potential energy is zero is then incident on a potential barrier of height U0. What is the ratio of E0/U0 so that the reflection co-efficient is 25%? (Assume E0 is much less than the rest mass energy of the particle.)

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The number of degenerate states in the third excited state for a particle in a three-dimensional box with L1 = L2 = L3 is

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An electron with kinetic energy 5.0 eV traveling in a region in which the potential energy is zero is incident at x > 0 on a potential barrier of height 3.0 eV. What is the wavelength of the electron in the region x > 0?

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The solution for the time-independent Schrödinger equation with the following potential function and boundary conditions U(x) = 0, -L/2 ≤\le x ≤\le L/2 U(x) = ∞\infty , x < -L/2 or x > L/2 Is

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The wave function for a particle in a one-dimensional box of length L

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A particle of energy E0 traveling in a region in which the potential energy is zero is incident on a potential barrier of height U0 = 0.3E0. The probability that the particle will be reflected is

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