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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 refrence where the electron is at rest, the proton would be movig 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

Text Solution

Verified by Experts

The correct Answer is:
c

Electron is moving around the proton in a circular orbit and hence it has centripetal acceleration towards the centre. So when we observe the situation with respect to electron then we should keep in mind that it is non-inertial frame. In a non-inertial frame we need to consider pseudo force also and thus given expression is not correct.
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