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In carbon monoxide molecule, the carbon and the oxygen atoms are separated by a distance 1.12 × 10⁻¹⁰ m. The distance of the centre of mass, from the carbon atom is:

1. 0.64 × 10⁻¹⁰ m
2. 0.56 × 10⁻¹⁰ m
3. 0.51 × 10⁻¹⁰ m
4. 0.48 × 10⁻¹⁰ m

Correct answer: 0.64 × 10⁻¹⁰ m

Solution

The center of mass is calculated using the formula: \( x_{cm} = \frac{m_1 x_1 + m_2 x_2}{m_1 + m_2} \). Here, \( m_1 \) and \( m_2 \) are the masses of carbon and oxygen, and \( x_1 \) and \( x_2 \) are their respective positions. Taking the mass ratio of carbon to oxygen as 12:16 and the total distance as 1.12 × 10⁻¹⁰ m, the center of mass is found to be 0.64 × 10⁻¹⁰ m from the carbon atom.

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