Question

The separation between C and O atoms in CO is \( 0.12 \, nm \). The distance of C atom from the centre of mass is

• A. 0.1 nm
• B. 0.05 nm
• C. 0.03 nm
• D. 0.07 nm

Hint:

Centre of mass lies closer to heavier atom.

Answer 1

The Correct Option is D

Step 1: Write formula for centre of mass.
\[ x = \frac{m_2 d}{m_1 + m_2} \]

Step 2: Atomic masses.
Carbon = 12, Oxygen = 16

Step 3: Distance between atoms.
\[ d = 0.12 \, nm \]

Step 4: Substitute values.
\[ x_C = \frac{16 \times 0.12}{12 + 16} \]

Step 5: Simplify.
\[ x_C = \frac{1.92}{28} \]

Step 6: Calculate.
\[ x_C \approx 0.0686 \, nm \]

Step 7: Final Answer.
\[ \boxed{0.07 \, nm} \]