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In a carbon monoxide molecule, the carbo...

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

A

`4/7`d

B

`7/4`d

C

`8/7`d

D

`7/8`d

Text Solution

Verified by Experts

The correct Answer is:
A
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`
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Knowledge Check

  • In a carbon monoxide molecule, the carbon and the oxygen atoms are separted by a distance 1.12 xx 10^(10) m. The distance of the centre of mass from the carbon atom is

    A
    ` 0.64 xx 10^(-10)m`
    B
    `0.56xx10^(-6) `m
    C
    `0.51 xx 10^(-10) m`
    D
    `0.48 xx 10^(-10)` m

  • In a carbon monoxide molecule, the carbon and oxygen atoms are separated by a distance of 1.12 xx 10^(-10) m. The distance of the centre of mass from the carbon atom is

    A
    `0.48 xx 10^(-10)` m
    B
    `0.51 xx 10^(-10) m`
    C
    `0.56 xx 10^(-10) m`
    D
    `0.64 xx 10^(-10)` m

  • The mass of an atom of carbon is:

    A
    1g
    B
    `1.99xx10^(-23)g`
    C
    `1//12g`
    D
    `1.99xx10^(23)g`

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