1.

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))/(8 n^(2)epsi_(0)^(2)h^(2))M= proton mass) thsi last expression is not correct because.

Answer»

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

Solution :If an electron, performing orbital motion is observed from an ACCELERATED frame of reference (i.e. non inertial frame of reference) with an acceleration equal to that of electron, then it will be found at rest by an observer in this fram of reference. But same observer will find protoi in a circular motion. Centripetal force require for this pseudo motion is also IMAGINARY because it does not exist. Here proton does no POSSESS any binding energy due to such imaginary force. Because, to possess bindin energy, centripetal force must be real forci which is exerted in inertial frame of reference


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