Question - 10
The binding energy of a H-atom, considering an electron moving around a fixed nuclei (proton), \(B=-\frac { { me }^{ 4 } }{ 8{ n }^{ 2 }{ \epsilon }_{ 0 }^{ 2 }{ h }^{ 2 } } \) is (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 \(B=-\frac { { Me }^{ 4 } }{ 8{ n }^{ 2 }{ \epsilon }_{ 0 }^{ 2 }{ h }^{ 2 } } \left( M=proton \ mass \right) \) 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
