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Physics · SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

हिन्दी

In an \( \text{HCl} \) molecule, the separation between the nuclei of the hydrogen and chlorine atoms is \( 1.27 \text{ \AA} \). If a chlorine atom is \( 35.5 \) times as massive as a hydrogen atom, the location of the centre of mass of the molecule measured from the hydrogen nucleus is:

  1. \( 0.035 \text{ \AA} \)
  2. \( 0.635 \text{ \AA} \)
  3. \( 1.120 \text{ \AA} \)
  4. \( 1.235 \text{ \AA} \)

Correct answer · Option 4

\( 1.235 \text{ \AA} \)

Explanation

\( x_{\text{cm}} = \frac{m_{\text{Cl}} d}{m_{\text{H}} + m_{\text{Cl}}} = \frac{35.5 \times 1.27}{1 + 35.5} = \frac{35.5 \times 1.27}{36.5} \approx 1.235 \text{ \AA} \).
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