Exam 39: More About Matter Waves

Take the potential energy of a hydrogen atom to be zero for infinite separation of the electron and proton.Then the ground state energy of a hydrogen atom is -13.6 eV.The minus sign indicates:

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:

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:

The binding energy of an electron in the ground state in a hydrogen atom is about:

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:

The wavelength of a particle in a one-dimensional trap with zero potential energy in the interior and infinite potential energy at the walls is proportional to (n = quantum number):

The quantum number n is most closely associated with what property of the electron in a hydrogen atom?

A particle is trapped in a finite potential energy well that is deep enough so that the electron can be in the state with n = 4.For this state how many nodes does the probability density have?

The radial probability density for the electron in the ground state of a hydrogen atom has a peak at about:

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)?

The Balmer series of hydrogen is important because it:

The figure shows the energy levels for an electron in a finite potential energy well.If the electron makes a transition from the n = 3 state to the ground state, what is the wavelength of the emitted photon?

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

Which of the following sets of quantum numbers is possible for an electron in a hydrogen atom?

Take the potential energy of a hydrogen atom to be zero for infinite separation of the electron and proton.Then, according to the quantum theory the energy E_n of a state with principal quantum number n is proportional to:

A particle in a certain finite potential energy well can have any of five quantized energy values and no more.Which of the following would allow it to have any of six quantized energy levels?

The wave function for an electron in a state with zero angular momentum:

Take the potential energy of a hydrogen atom to be zero for infinite separation of the electron and proton.Then the ground state energy of a hydrogen atom is -13.6 eV.When the electron is in the first excited state its excitation energy (the difference between the energy of the state and that of the ground state)is:

Take the potential energy of a hydrogen atom to be zero for infinite separation of the electron and proton.Then the ground state energy of a hydrogen atom is -13.6 eV.The energy of the first excited state is:

An electron is trapped in an infinitely deep rectangular well with sides of length L_x = L and L_y = 2L.The energy of the state n_x = 2, n_y = 4 is: