The figure below is a model of a benzene molecule. All atoms lie in a plane, and the carbon atoms (mC = 1.99 x 10-26 kg) form a regular hexagon, as do the hydrogen atoms (mH = 1.67 x 10-27 kg). The carbon atoms are 0.110 nm apart center to center, and the adjacent carbon and hydrogen atoms are 0.100 nm apart center to center.
(a) Calculate the moment of inertia of the molecule about an axis perpendicular to the plane of the paper through the center point O.
(b) Determine the allowed rotational energies about this axis.