91影视

The moment of inertia is equal to the product of the mass and the square of the distance of the mass from the rotational axis.Here, first, find the mass of one atom and assume the effective distance between two atoms, and then find the total moment of inertial of the two-atom system.

The total mass of the oxygen atoms is \(m = 5.3 \times {10^{ - 26}}\;{\rm{kg}}\).

The moment of inertia of the atoms is \(I = 1.9 \times {10^{ - 46}}\;{\rm{kg}} \cdot {{\rm{m}}^{\rm{2}}}\).

Let r be the effective distance between the two atoms.

The mass of one atom is \(\frac{m}{2}\), and the distance of the atom from the rotational axis is \(\frac{r}{2}\).

The rotation axis is midway between the atoms.

Therefore, the moment of inertia of the two atoms is

\(\begin{align}I &= 2 \times \left\{ {\left( {\frac{m}{2}} \right) \times {{\left( {\frac{r}{2}} \right)}^2}} \right\}\\I &= \frac{1}{4}m{r^2}\\1.9 \times {10^{ - 46}}\;{\rm{kg}} \cdot {{\rm{m}}^{\rm{2}}} &= \frac{1}{4} \times \left( {5.3 \times {{10}^{ - 26}}\;{\rm{kg}}} \right) \times {r^2}\\r &= 1.2 \times {10^{ - 10}}\;{\rm{m}}\end{align}\).

Hence, the effective distance between the two atoms is \(1.2 \times {10^{ - 10}}\;{\rm{m}}\).