Exam 38: Photons and Matter Waves

The diagram shows the graphs of the stopping potential as a function of the frequency of the incident light for photoelectric experiments performed on three different materials. Rank the materials according to the values of their work functions, from least to greatest.

An electron with energy E is incident upon a potential energy barrier of height E_pot > E and thickness L. The transmission coefficient T:

A free electron in motion along the x axis has a localized wave function. The uncertainty in its momentum is decreased if:

Which of the following is NOT evidence for the wave nature of matter?

The stopping potential for electrons ejected by 6.8 * 10¹⁴-Hz electromagnetic radiation incident on a certain sample is 1.8 V. The kinetic energy of the most energetic electrons ejected and the work function of the sample, respectively, are:

Separate Compton effect experiments are carried out using visible light and x rays. The scattered radiation is observed at the same scattering angle. For these experiments:

Electromagnetic radiation with a wavelength of 5.7 * 10^-12 m is incident on stationary electrons. Radiation that has a wavelength of 6.6 * 10^-12 m is detected at a scattering angle of:

The wavelength of light beam B is twice the wavelength of light beam B. The energy of a photon in beam A is:

Evidence for the wave nature of matter is:

Monoenergetic electrons are incident on a single slit barrier. If the energy of each incident electron is increased the central maximum of the diffraction pattern:

The main problem physicists had with understanding the photoelectric effect before Einstein explained it in terms of photons was:

In Compton scattering from stationary particles the maximum change in wavelength can be made smaller by using:

In Compton scattering from stationary electrons the largest change in wavelength occurs when the photon is scattered through:

A free electron and a free proton have the same momentum. This means that, compared to the matter wave associated with the proton, the matter wave associated with the electron has:

Light beams A and B have the same intensity but the wavelength associated with beam A is longer than that associated with beam B. The photon flux (number crossing a unit area per unit time) is:

A free electron in motion along the x axis has a localized wave function. If it enters a region of space where its potential energy increases,

Consider the following three particles: Rank them according to the wavelengths of their waves, least to greatest.

An electron with energy E is incident on a potential energy barrier of height E_pot and thickness L. The probability of tunneling increases if:

Rank following electromagnetic radiations according to the energies of their photons, from least to greatest.

In Compton scattering from stationary electrons the frequency of the emitted light is independent of: