2) 35 points total] Consider an isolated neutral atom where the nuc...

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2) 35 points total] Consider an isolated neutral atom where the nucleus of the atom is held fixed in place at the origin of some coordinate system. A plane, linearly polarized, electromagnetic wave of angular frequency w impinges on the atom, exerting a force on the electron cloud and causing it to oscillate. If r(t) denotes the center of mass of the electron cloud with respect to the nucleus, the electron cloud moves under the influence of three forces: (i) the force from the electromagnetic wave, (ii) a restoring force muzr pulling the electron back to the nucleus, and (iii) a dissipative force -myv. Here m is the mass of the electron cloud, -q its charge, and V = r the velocity of the electron cloud's center of mass. You may approximate the electron cloud as a fixed rigid object moving in a classical non-relativistic way. a) [20 pts] What is the total work done on the electron cloud by the electromagnetic wave in one period of osciallation? b) [10 pts] What is the total energy radiated away from the atom in electromagnetic radiation in one period of oscillation? c) [5 pts] If one wishes to interpret the dissipative force -myv as arising solely from the radiated energy, what should be the value of the parameter Y? Do you see anything funny about your answer? Is there a physical interpretation?

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