1.

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

Answer»

n would not be integral
Bohr-quantisation applies only to electron
the frame in which the electrons is at rest is not inertial
the motion of the proton would not be in circular orbits, even approximately.

Solution :In a hydrogen atom, electron revolving around a fixed proton nucleus has some centripetal acceleration. Therefore, its frame of reference in no inertial. In the fram of reference, where the electron is at rest, the given expression cannot be TRUE for BINDING ENERGY as the frame in which electrons is at rest would not be inertial. CHOICE (C) is correct.


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