Question 2: The Rigid RotorConsider two particles of mass m attached to the ends of a massless rigid rod with length a.The system is free to rotate in 3 dimensions about the center, but the center point is held fixed.(a) Show that the allowed energies for this rigid rotor are:n?n(n+1)En =where n = 0, 1, 2...та?(b) What are the normalized eigenfunctions for this system?(c) A nitrogen molecule (N2) can be described as a rigid rotor. If the distance between Natoms is 1.1 Å, then what wavelength of photon must be absorbed to produce atransition from the n = 1 to n = 4 state?

Given two particles of mass m are attached to the ends of of a massless rigid rod with length a.…

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