Given that, mass of oxygen, m0=16‌amu Mass of carbon, mc=12‌amu Distance between them, r=11Å Let x be the distance of centre of mass from carbon atom
By using expression of centre of mass for two particle system, Xcom=
m1xt+m2x2
m1+m2
Assuming centre of mass at orgin, we get XCOM=0=
mC(−x)+mO(r−x)
mc+mO
mcx=mo(r−x) mcx+m0x=m0r x=
mo
mc+mo
r By substituting the values, we get x=
16
16+12
×(1.1)Å=0.63Å Hence, position of centre of mass is 0.63Å from carbon atom.