In the `HCI` molecule, the separation between the nuclei of the two atoms is about `1.27Å (1Å = 10^(-10)m)`. Find the approximate location of the c.m of the molecule, given that a chlorine atom is about `35.5` times as massive as a hydrogen atom and nearly all the mass of an atom is concentrated in its nucleus ?

Explanation

To find the approximate location of the center of mass (c.m.) of the HCl molecule, we can follow these steps:

### Step 1: Define the masses and positions
Let:
- Mass of hydrogen (H) = \( m \)
- Mass of chlorine (Cl) = \( 35.5m \)
- Distance between the nuclei of H and Cl = \( 1.27 \, \text{Å} = 1.27 \times 10^{-10} \, \text{m} \)

...