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CBSE Class 11-science Answered

Please tell me the derivation of Bohrs Postulate of Angular Momentum from de Broglie's equation.
Asked by gurveersaini0405 | 08 May, 2019, 08:17: AM
answered-by-expert Expert Answer
Angular momentum from  de broglie's equation,
 
In the Bohr model, the wavelength is given by the DeBroglie relationship,
 
straight lambda space equals space straight h over mv        ..... (1)
 
According to de broglie's hypothesis, a stationary orbit contains an integral number of  de broglie's waves associated with the revolving electron.
 
Circumference of  orbit = Distance covered by electron
 
 
 
2 πr space equals space nλ subscript straight n space  .....(2)
 
From eq (1) and (2)
 
 
2 πr subscript straight n space equals space nh over mv

mv subscript straight n space straight r subscript straight n equals space fraction numerator nh over denominator begin display style 2 straight pi end style end fraction
 
Answered by Varsha | 08 May, 2019, 01:06: PM
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