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The equilibrium separation between the nuclei of the nitrogen molecule (N2) is 0.110 nm and the mass of each nitrogen nucleus is 14.0 u, where u = 1.66 x 10­27 kg. For rotational energies, the total energy is due to rotational kinetic energy.

(a) Approximate the nitrogen molecule as a rigid dumbbell of two equal point masses and calculate the moment of inertia about its center of mass. kg•m2

(b) Find the energy El of the lowest three energy levels using El = Kl = l(l + 1) h 2 / (21).

E0 =    meV

El = meV

E2 = meV

(c)  Molecules emit a particle (or quantum) of light called a photon when they make a transition from a higher energy state to a lower one. Determine the energy of a photon emitted when a nitrogen molecule drops from the t = 2 to the t= 1 state.

--- meV

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