Questions from Modern Physics

Q: A large number of hydrogen atoms in 1s states are placed in

A large number of hydrogen atoms in 1s states are placed in an external magnetic field that is in the +z-direction. Assume that the atoms are in thermal equilibrium at room temperature, T = 300 K. Acc...

Q: An electron in a hydrogen atom is in the 2p state.

An electron in a hydrogen atom is in the 2p state. In a simple model of the atom, assume that the electron circles the proton in an orbit with radius r equal to the Bohr-model radius for n = 2. Assume...

Q: In another universe, the electron is a spin-3/

In another universe, the electron is a spin-3/2 rather than a spin-1/2 particle, but all other physics are the same as in our universe. In this universe, a. what are the atomic numbers of the lightes...

Q: A lithium atom has three electrons, and the 2S1/2

A lithium atom has three electrons, and the 2S1/2 ground-state electron configuration is 1s22s. The 1s22p excited state is split into two closely spaced levels, 2P3/2 and 2P1/2, by the spin-orbit inte...

Q: A hydrogen atom in an n = 2, l = 1

A hydrogen atom in an n = 2, l = 1, ml = -1 state emits a photon when it decays to an n = 1, l = 0, ml = 0 ground state. a. In the absence of an external magnetic field, what is the wavelength of thi...

Q: Electrons in the lower of two spin states in a magnetic field

Electrons in the lower of two spin states in a magnetic field can absorb a photon of the right frequency and move to the higher state. a. Find the magnetic field magnitude B required for this transit...

Q: Estimate the minimum and maximum wavelengths of the characteristic x rays emitted

Estimate the minimum and maximum wavelengths of the characteristic x rays emitted by a. vanadium (Z = 23) and b. rhenium (Z = 45). Discuss any approximations that you make.

Q: Consider a gas of diatomic molecules (moment of inertia I)

Consider a gas of diatomic molecules (moment of inertia I) at an absolute temperature T. If Eg is a groundstate energy and Eex is the energy of an excited state, then the Maxwell–Bol...

Q: Part (a) of Problem 42.39 gives an equation

Part (a) of Problem 42.39 gives an equation for the number of diatomic molecules in the lth rotational level to the number in the ground-state rotational level. a. Derive an expression for the value...

Q: What are the most significant differences between the Bohr model of the

What are the most significant differences between the Bohr model of the hydrogen atom and the Schrödinger analysis? What are the similarities?