#### Magnetism

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. A simple atom has a ground state |g) and an excited state |e), with energies E, :E = E, respectively.= 0 and (a) Draw the energy level diagram, and label all relevant aspects. (b) The atom is prepared in the state |\psi\rangle=\sqrt{\frac{2}{3}}|g\rangle+\sqrt{\frac{1}{3}}|e\rangle Calculate the probability of finding the atom in the excited state Je). (c) Calculate the expectation value for the energy of the atom in state psi The time evolution of the atom is governed by the Hamiltonian H, with H=E_{g}|g\rangle\left\langle g\left|+E_{e}\right| e\right\rangle\langle e| Calculate the state of the atom at time t = T, given that the atom is in state |) at time t = 0. At time T we measure whether the atom is in the state |+\rangle=\frac{|g\rangle+|e\rangle}{\sqrt{2}} \quad \text { or } \quad|-\rangle=\frac{|g\rangle-|e\rangle}{\sqrt{2}} Calculate the probability of finding the atom in state |+), and sketch this probability as a function of time.

4.A vertical wire carries a current of 6.0A What is the Magnetic field at (a) 20 mm and (b) 40 mm from the wire?

2. Draw the magnetic fields between two magnets when a) North and South poles from 2 different magnets are facing each other. b) North and North poles from 2 different magnets are facing each other. c) South and South poles from 2 different magnets are facing each other.

1. What is the relationship between the terms magnetic domain and ferromagnetic?

What is the most common type of light? polarized light unpolarized light infrared light gamma light

16. Calculate the speed of a gamma ray with a frequency of 3.0x10¹⁹ Hz and a wavelength of 1.0x10^-11m.

15. How does the term induction explain the relationship between an electric field and a magnetic field?

9. Which waves on the electromagnetic spectrum have the longest wavelength?

18. Find the speed of light through an emerald. The index of refraction for an emerald is 1.58.

10. How does the domain theory help to explain magnetism?