In a carbon monoxide molecule, the carbon and the oxygen atoms are separated by a distance `1.2xx10^-10m`. The distance of the centre of mass from the carbon atom is

Options

A. `4/7`d
B. `7/4`d
C. `8/7`d
D. `7/8`d

Answer

A

Explanation

We know that `(m_(c))/(m_(0)) = (12)/(16) = (3)/(4)`
Let the centre of mass of the molecule be at a distance `x` from carbon atom as shown in Fig.
As `m_(c) xx x = m_(0) (d - x) :. (m_(c))/(m_(0)) = (d - x)/(x) = (3)/(4)`
`3 x = 4d - 4x or x = (4)/(7) d`