Figure 8-59 illustrates an molecule. The bond O___H length is 0.096 nm and the H___O___H bonds make an angle of 104°. Calculate the moment of inertia of the molecule (assume the atoms are points) about an axis passing through the center of the oxygen atom (a) perpendicular to the plane of the molecule, and (b) in the plane of the molecule, bisecting the H___O___H bonds.
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(A) Considering the O-H bonds to be rigid and like a rod, the moment of inertia for the water molecule about an axis passing through the centre of the oxygen molecule to the plane: