1. Intro to Physics Units

Consider an electron in the N shell. (c) What is the largest orbital angular momentum this electron could have in any chosen direction? Express your answers in terms of U and in SI units.

Consider an electron in the N shell. (d) What is the largest spin angular momentum this electron could have in any chosen direction? Express your answers in terms of U and in SI units.

The orbital angular momentum of an electron has a magnitude of 4.716 * 10-34 kg # m2>s. What is the angular momentum quantum number l for this electron?

Calculate, in units of U, the magnitude of the maximum orbital angular momentum for an electron in a hydrogen atom for states with a principal quantum number of 2, 20, and 200. Compare each with the value of nU postulated in the Bohr model. What trend do you see?

A hydrogen atom is in a d state. In the absence of an external magnetic field, the states with different ml values have (approximately) the same energy. Consider the interaction of the magnetic field with the atom's orbital magnetic dipole moment. (a) Calculate the splitting (in electron volts) of the ml levels when the atom is put in a 0.800-T magnetic field that is in the +z@direction

A hydrogen atom undergoes a transition from a 2p state to the 1s ground state. In the absence of a magnetic field, the energy of the photon emitted is 122 nm. The atom is then placed in a strong magnetic field in the z@direction. Ignore spin effects; consider only the interaction of the magnetic field with the atom's orbital magnetic moment. (a) How many different photon wavelengths are observed for the 2p S 1s transition? What are the ml values for the initial and final states for the transition that leads to each photon wavelength?

Estimate the energy of the highest-l state for (a) the L shell of Be+ and (b) the N shell of Ca +.

The energies for an electron in the K, L, and M shells of the tungsten atom are -69,500 eV, -12,000 eV, and -2200 eV, respectively. Calculate the wavelengths of the Ka and Kb x rays of tungsten.

For the H2 molecule the equilibrium spacing of the two protons is 0.074 nm. The mass of a hydrogen atom is 1.67 * 10^-27 kg. Calculate the wavelength of the photon emitted in the rotational transition l = 2 to l = 1.

During each of these processes, a photon of light is given up. In each process, what wavelength of light is given up, and in what part of the electromagnetic spectrum is that wavelength? (a) A molecule decreases its vibrational energy by 0.198 eV;

The H2 molecule has a moment of inertia of 4.6 * 10-48 kg•m^2 . What is the wavelength l of the photon absorbed when H2 makes a transition from the l = 3 to the l = 4 rotational level?

Two atoms of cesium (Cs) can form a Cs_2 molecule. The equilibrium distance between the nuclei in a Cs_2 molecule is 0.447 nm. Calculate the moment of inertia about an axis through the center of mass of the two nuclei and perpendicular to the line joining them. The mass of a cesium atom is 2.21 * 106-25 kg.

CP The rotational energy levels of CO are calculated in Example 42.2. If the energy of the rotating molecule is described by the classical expression K = (1/2)Iω^2 , for the l = 1 level what are (a) the angular speed of the rotating molecule;

(a) Suppose a piece of very pure germanium is to be used as a light detector by observing, through the absorption of photons, the increase in conductivity resulting from generation of electron–hole pairs. If each pair requires 0.67 eV of energy, what is the maximum wavelength that can be detected? In what portion of the spectrum does it lie?

CP At a temperature of 290 K, a certain p-n junction has a saturation current IS = 0.500 mA. (a) Find the current at this temperature when the voltage is (i) 1.00 mV, (ii) -1.00 mV, (iii) 100 mV, and (iv) -100 mV.