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Question

According to bohr's model of an atom, electron revolves around the nucleus in the fixed orbits called stationary states or energy shells. Electron does not emit nor absorb energy when it revolves. WHY IS IT SO?

Bohr argued that Rutherford's model would be highly unstable because according to him (bohr) if an electron revolves continously it would be subjected to accelaration. Thus, electron will continously emit radiation and fall in the nucleus. But when electron revolves around the nucleus in Bohr's model it also changes its energy shells, then why the bohr's model is not unstable?

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Solution

An electron does not lose energy when revolving in a stationary orbit around nucleus because Maxwell's electromagnetism does not apply to the stationary orbits. It is because in the stationary orbits angular momentum of an electron is quantized.

An electron revolving around nucleus has radial acceleration given by v^2/r.

A electron does not simply change its energy shells, it jumps to a higher energy shell when it absorbs a photon of required energy. Or will move to the lower shell if it loses a photon of required energy. But if such absorption do not occur electron will never lose or gain energy so it will neither have its radius getting shorter or longer. Thus the atom won't collapse.


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