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Question

In the HCl molecule, the separation between the nuclei of the two atoms is about 1.5 A (1 A=1010 m). The approximate location of the centre of mass from the hydrogen atom assuming the chlorine atom to be about 35.5 times as massive as hydrogen is

A
1.45 A
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B
0.05 A
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C
0.72 A
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D
0.96 A
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Solution

The correct option is A 1.45 A

Assuming mass of H atom, m1=1 kg
Then, mass of Cl atom, m2=35.5 kg
Taking position of m1 as a reference, x1=0
Position of m2 with respect to m1, x2=1.5 A
Position of centre of mass,
xcom=m1x1+m2x2m1+m2=0+35.5×1.51+35.5
=1.45 A from hydrogen atom.

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