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Find the centre of mass of a CO molecule.

Solution:

Let the centre of mass be located at a distance $$r_c$$ from the carbon atom and at $$r_0$$ from the oxygen atom along the line joining the carbon and oxygen atoms.
$$m_cr_c=m_or_o=m(r-r_c)$$
$$r_c =\frac{m_or}{m_o+m_o}=\frac{16\times1.13}{12+16}=0.646 Angstrom$$