# Fundamentals of Physics Study Set 2

Physics & Astronomy

## Quiz 39 :

More About Matter Waves

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An electron confined in a one-dimensional infinite potential well has an energy of 180 eV.What is its wavelength?

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B

The ground state energy of an electron in a one-dimensional trap with zero potential energy in the interior and infinite potential energy at the walls is 2.0 eV.If the width of the well is doubled, the ground state energy will be:

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A

An electron is in a one-dimensional trap with zero potential energy in the interior and infinite potential energy at the walls.The ratio E

_{3}/E_{1}of the energy for n = 3 to that for n = 1 is: Free

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D

Identical particles are trapped in one-dimensional wells with infinite potential energy at the walls.The widths L of the traps and the quantum numbers n of the particles are Rank them according to the kinetic energies of the particles, least to greatest.

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Four different particles are trapped in one-dimensional wells with infinite potential energy at their walls.The masses of the particles and the width of the wells are Rank them according to the kinetic energies of the particles when they are in their ground states, lowest to highest.

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The ground state energy of an electron in a one-dimensional trap with zero potential energy in the interior and infinite potential energy at the walls:

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Two one-dimensional traps have infinite potential energy at their walls.Trap A has width L and trap B has width 2L.For which value of the quantum number n does a particle in trap B have the same energy as a particle in the ground state of trap A?

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An electron is trapped in a deep well with a width of 0.3 nm.If it is in the state with quantum number n = 3 its kinetic energy is:

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A particle is trapped in a one-dimensional well with infinite potential energy at the walls.Three possible pairs of energy levels are Order these pairs according to the difference in energy, least to greatest.

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An electron in an atom initially has an energy 5.5 eV above the ground state energy.It drops to a state with energy 3.2 eV above the ground state energy and emits a photon in the process.The wave associated with the photon has a wavelength of:

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An electron in an atom drops from an energy level at -1.1 10

^{-18}J to an energy level at -2.4 10^{-18}J.The wave associated with the emitted photon has a frequency of: Multiple Choice

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An electron in an atom initially has an energy 7.5 eV above the ground state energy.It drops to a state with an energy of 3.2 eV above the ground state energy and emits a photon in the process.The momentum of the photon is:

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An electron is in a one-dimensional trap with zero potential energy in the interior and infinite potential energy at the walls.A graph of its wave function (x)versus x is shown.The value of quantum number n is:

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An electron is in a one-dimensional trap with zero potential energy in the interior and infinite potential energy at the walls.A graph of its probability density P(x)versus x is shown.The value of the quantum number n is:

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A particle is trapped in an infinite potential energy well.It is in the state with quantum number n = 14.How many nodes does the probability density have (counting the nodes at the ends of the well)?

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A particle is trapped in an infinite potential energy well.It is in the state with quantum number n = 14.How many maxima does the probability density have?

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A particle is confined to a one-dimensional trap by infinite potential energy walls.Of the following states, designed by the quantum number n, for which one is the probability density greatest near the center of the well?

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If a wave function for a particle moving along the x axis is "normalized" then:

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An electron is in a one-dimensional well with finite potential energy barriers at the walls.The matter wave:

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A particle is confined by finite potential energy walls to a one-dimensional trap from x = 0 to x = L.Its wave function in the region x > L has the form:

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