CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

In the HCl molecule, the separation between the nuclei of the two atoms is about 1.27A (1 A=1010 m). Find the approximate location of the CM 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.


Solution

The given situation can be shown as:


Distance between H and Cl atoms =1.27A
Mass of H atom = m
Mass of Cl atom = 35.5m
Let the centre of mass of the system lie at a distance x from the Cl atom.
Distance of the centre of mass from the H atom = (1.27 - x) 
Let us assume that the centre of mass of the given molecule lies at the origin. Therefore,
we can have:
m(1.27x)+35.5 mxm+35.5 m=0m(1.27+x)+35.5 mx=01.27+x=35.5 x x=1.27(35.5+1)=0.0345 A
Hence, the centre of mass of the HCl molecule lies 0.0345 A from the Cl atom.

 


Physics
NCERT Textbook
Standard XI

Suggest Corrections
thumbs-up
 
0


similar_icon
Similar questions
View More


similar_icon
Same exercise questions
View More



footer-image