Student A & B are studying the Zeeman effect. They observe that the energy of an electron in the p-level of an atom is changed in the presence of a magnetic field of magnitude 4.6 T. What is the difference between the largest and smallest possible energies?  (bohr magneton = μB = 9.27x10-24 J/T).

A magnetic field is applied to a freely floating uniform iron sphere with radius R = 2.00 mm. The sphere initially had no net magnetic moment, but the field aligns 12% of the magnetic moments of the atoms (that is, 12% of the magnetic moments of the loosely bound electrons in the sphere, with one such electron per atom). The magnetic moment of those aligned electrons is the sphere’s intrinsic magnetic moment .What is the sphere’s resulting angular speed v?

What is the average radius of the orbit of an electron in the n=2 energy level of an oxygen atom (Z=8)? Express your answer in pico-meters.

The electron in a certain hydrogen atom has an angular momentum of 2.583×10−34 J.s. What is the largest possible magnitude for the z-component of the angular momentum of this electron? For accuracy, use h=6.626×10−34 J⋅s. find Number Units

A hydrogen atom in an n=2, I=1, m1 = -1 state emits a photon when it decays to an n=1 I=0, mI=0 ground state. If the atom is in a magnetic field in the + z direction and with a magnitude of 2.50 T, what is the shift in the wavelength of the photon from zero-field value?

Hydrogen gas can be placed inside a strong magnetic field B=12T. The energy of 1s electron in hydrogen atom is 13.6 eV ( 1eV= 1.6*10 J ). a) What is a wavelength of radiation corresponding to a transition between 2p and 1s levels when magnetic field is zero? b) What is a magnetic moment of the atom with its electron initially in s state and in p state? c) What is the wavelength change for the transition from p- to s- if magnetic field is turned on?

The spectral line of calcium 422.7 nm gives the normal Zeeman effect (S = 0, J = L) showing three components where Au = 4.22 × 1010 Hz %3D When the source is placed in a magnetic field with a flux density equal to 3 Tesla Calculate the specific charge of the electron by demonstrating which mathematical formula you will use

6. A solid at temperature is placed in an external magnetic field B = 1 Tesla = 1 × 10¹ gauss. The solid contains weakly interacting paramagnetic atoms of spin 1/2, so that the energy of each atom is ±μB. a. If the magnetic moment is equal to one Bohr magneton, i.e., μ = h x 1.4 MHz/gauss, below what temperature must one cool the solid so that more than 75% of the atoms are polarized with their spins parallel to the external magnetic field? b. Suppose that one considered instead a solid which is free of paramagnetic atoms but contains many protons (e.g., paraffin). Each proton has spin 1/2 and a magnetic moment µp = h x 2.1 kHz/gauss. At the same temperature as you determined in part a., what fraction of protons will have their spins aligned parallel to the external magnetic field?

For an electron in the atomic state n = 3,1 = 1, and me = 1, what is the magnitude of the orbital h angular momentum vector, in units of 2TT Lz,max h 2πT |Z| = If a magnetic field is applied to the atom, what is the magnitude of the maximum component of the angular momentum vector in the direction of B? Give your answer as a multiple of : h 2π X X : h 2π

a) An electron in a hydrogen atom has energy E= -3.40 eV, where the zero of energy is at the ionization threshold. In the Bohr model, what is the angular momentum of the electron? Express your result as a multiple of ħ. Ans. b) What is the deBroglie wavelength of the electron when it is in this state? Ans. c) When the electron is in this state, what is the ratio of the circumference of the orbit of the electron to the deBroglie wavelength of the electron? Ans. d) The electron makes a transition from the state with energy E= -3.40 eV to the ground state, that has energy -13.6 eV. What is the wavelength of the photon emitted during this transition? Ans.