In the HCl molecule, the separation between the nuclei of the two atoms is about 1.5∘A(1∘A=10−10m). 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
1.45A∘
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B
0.05A∘
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C
0.72A∘
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D
0.96A∘
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Solution
The correct option is A1.45A∘
Assuming mass of H atom, m1=1kg
Then, mass of Cl atom, m2=35.5kg
Taking position ofm1 as a reference, x1=0
Position ofm2 with respect to m1, x2=1.5A∘ ∴ Position of centre of mass, xcom=m1x1+m2x2m1+m2=0+35.5×1.51+35.5 =1.45A∘ from hydrogen atom.