Exam 26: Quantum Physics and Atomic Structure

The quantum theory suggests that the stable orbits of electrons around a nucleus correspond to standing waves for the orbit. For a hydrogen atom, the radius of the ground state or the first orbit is the Bohr's radius, 0.0529 nm. What is the wavelength of the ground state of the hydrogen atom?

The first Bohr radius, a₀, is 0.0529 nm and the corresponding energy, E₀, is 13.6 eV. The wavelength of the light emitted as a hydrogen atom undergoes a transition from state n = 3 to n = 2 is about

The wavelength of the photon emitted when a hydrogen atom undergoes a transition from the n = 5 state to the n = 1 state is approximately

An electron in a hydrogen atom jumps from n = 5 to n = 2. The wavelength of the emitted photon is

In a Compton scattering experiment, an 8.00-MeV incident photon is scattered at an angle of 15º with energy of 5.20 MeV. The kinetic energy of the recoil electron is

The total number of distinct electron states including spin) when n = 5 is

For an x-ray tube to produce x rays with a wavelength as short as 0.025 nm, the electrons must be accelerated by a potential difference of

The number of oxygen's eight electrons that are found in the p state is

An electron in the n = 3 state of a hydrogen atom falls into the n = 2 state. The Rydberg constant R is 1.097 × 10^-2/nm. The wavelength of the photon emitted is approximately

The work function for a metal is 5.58 eV. What is the threshold wavelength for the photoelectric effect of incident photons?

The constant in the Rydberg formula is R_H = 10.96776 µm^-1. The wavelength predicted by this formula for m = 5 and n = 3 is

An x-ray photon scattering off an electron imparts some of its energy to the electron the Compton effect). Which of the following statements is true?

Rutherford's experiments, in which he bombarded a very thin gold foil with alpha particles, showed that

According to the Bohr theory, a hydrogen atom

The set of quantum numbers for the probability density shown is

The order-of-magnitude of the diameter of an atom is closest to

For the principal quantum number n = 4, the number of values the orbital quantum number can have is

The possible orbital quantum numbers of an electron are 0, 1, 3, 4, and 5. Its principal quantum number, n, and the largest magnetic quantum number, m_l, are

An electron in the hydrogen atom makes a transition from an energy level of -1.51 eV to one of energy -3.40 eV. In this process a photon is emitted with what wavelength?

A gamma-ray photon of energy 800 keV scatters off an electron at an angle perpendicular to its original direction. It then scatters off a second electron such that this secondary scattered photon continues in the direction of the original photon. Calculate the difference in energy between the first and second recoiling electrons.