Questions from Modern Physics

Q: a. What is the lowest possible energy (in electron volts

a. What is the lowest possible energy (in electron volts) of an electron in hydrogen if its orbital angular momentum is 20 ħ ? b. What are the largest and smallest values of the z-component of the...

Q: Consider a hydrogen atom in the 1s state. a.

Consider a hydrogen atom in the 1s state. a. For what value of r is the potential energy U(r) equal to the total energy E? Express your answer in terms of a. This value of r is called the classical t...

Q: For a hydrogen atom, the probability P(r) of

For a hydrogen atom, the probability P(r) of finding the electron within a spherical shell with inner radius r and outer radius r + dr is given by Eq. (41.25). For a hydrogen atom in the 1s ground sta...

Q: The normalized radial wave function for the 2p state of the hydrogen

The normalized radial wave function for the 2p state of the hydrogen atom is R2p =(1/ 24a5 )re-r/2a. After we average over the angular variables, the radial probability function becomes P(r) dr =(R2p)...

Q: Rydberg atoms are atoms whose outermost electron is in an excited state

Rydberg atoms are atoms whose outermost electron is in an excited state with a very large principal quantum number. Rydberg atoms have been produced in the laboratory and detected in interstellar spac...

Q: a. For an excited state of hydrogen, show that the

a. For an excited state of hydrogen, show that the smallest angle that the orbital angular momentum vector L can have with the z-axis is b. What is the corresponding expression for (θL)...

Q: An atom in a 3d state emits a photon of wavelength 475

An atom in a 3d state emits a photon of wavelength 475.082 nm when it decays to a 2p state. a. What is the energy (in electron volts) of the photon emitted in this transition? b. Use the selection r...

Q: While studying the spectrum of a gas cloud in space, an

While studying the spectrum of a gas cloud in space, an astronomer magnifies a spectral line that results from a transition from a p state to an s state. She finds that the line at 575.050 nm has actu...

Q: What is the “central-field approximation” and why is

What is the “central-field approximation” and why is it only an approximation?

Q: In a Stern–Gerlach experiment, the deflecting force on the

In a Stern–Gerlach experiment, the deflecting force on the atom is Fz = -µz(dBz/dz), where µz is given by Eq. (41.38) and dBz/dz is the magnetic-field gradient. In a particular experiment, the magneti...