Question

In a carbon monoxide molecule, the carbon and the oxygen atoms are seperated by a distance 1.12 × 10^-10 m. The distance of the centre of mass from the carbon atom is?​

Answer 1

Answer:

Let the distance of the centre of mass from the carbon atom be xcm.

The mass of carbon, m1 = 12amu

The mass of oxygen, m2 = 16amu

- [atomic mass unit ]

{Refer the attachment }

From definition of centre of mass

Xᴄᴍ = (m1x1 + m2x2)/m1 + m2

Xᴄᴍ =[ (12amu) × 0 + (16amu) × r]/ 12amu + 16amu

Xᴄᴍ = 16/28 r = 16/28 × 1.12 × 10^-10m

Xᴄᴍ = 0.64 × 10^-10 m ✓