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The binding energy of a H-atom consid...

The binding energy of a H-atom considering an electron moving around a fixed nuclei (proton), is
`B = - (me^(4))/(8n^(2)epsi_(0)^(2)h^(2))` (m= electron mass)
If one decides to work in a frame of reference where the electron is at rest, the proton would be moving around it. By similar arguments, the binding energy would be :
`B = - (me^(4))/(8n^(2)epsi_(0)^(2)h^(2))` (M = proton mass)
This last expression is not correct, because

A

n would not be integral

B

bohr- quantisation applies only to electron

C

the frame in which the electron is at rest is not inertial

D

the motion of the proton would not be in circular orbits, even approximately

Text Solution

Verified by Experts

The correct Answer is:
C
In the frame of reference, where electron is at rest the given expression cannot be true for binding energy as the frame in which electron is at rest would not be inertial. In hydrogen atom, electron revolving around a fixed proton nucleus has some centripetal acceleration.
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