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  • Derive the Bohr’s quantisation condition for angular momentum of the orbiting of electron in hydrogen atom, using de Broglie’s hypothesis.       <div styl

Derive the Bohr’s quantisation condition for angular momentum of the orbiting of electron in hydrogen atom, using de Broglie’s hypothesis.

 

 

 

 
 

Answers (1)

De Broglie wavelength
\lambda = \frac{h}{\rho }= \frac{h}{mv}---(i)
Also
   2\pi r= n\lambda
\lambda = \frac{2\pi r}{n}---(2)
from (i) & (ii)
\frac{h}{mv}= \frac{2\pi r}{n}
mvr= \frac{nh}{2\pi }
L= \frac{nh}{2\pi }\RightarrowBohr’s quantisation condition where L is the angular momentum

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