State Bohr's quantisation condition for defining stationary orbits. How does de broglie hypothesis explain the stationary orbits ???

Asked by pksunilnair | 2nd Oct, 2017, 08:46: PM

Expert Answer:

Bohr’s quantization principle states that electrons revolve in a stationary orbit of which energy and momentum are fixed.
Momentum of an electron in the fixed orbit is given by nh/2𝜋,
where n is the principal quantum number.
De - Broglie interprets Bohr's 2nd postulate in terms of wave nature of the electron. 
Hence, a circular orbit can be taken to be a stationary energy state only if it contains an integral number of de-Broglie wavelengths.
Mathematically it is given as
begin mathsize 12px style 2 πr subscript straight n space equals space nh over mv
therefore space mvr subscript straight n space equals space fraction numerator nh over denominator 2 straight pi end fraction end style

Answered by Yashvanti Jain | 3rd Oct, 2017, 03:30: PM

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