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SUPPOSE AN ELECTRON IS ATTRACTED TOWARDS ORIGIN BY A FORCE K/R WHERE K IS A CONSTANT AND R IS THE DISTANCE OF THE ELECTRON FROM THE ORIGIN. BY APPLYING BOHR MODEL TO THIS SYSTEM THE RADIUS OF THE nth ORBITAL OF THE ELECTRON IS FOUND TO BE Rn and THE KINETIC ENERGY OF THE ELECTRON TO BE Tn THAN
 
WHY Tn is independent of n, Rn directly proportional to N
 
 
 
 
PLS ANS THIS QUESTION

Asked by sudheerkapoor67 10th October 2017, 10:09 AM
Answered by Expert
Answer:
 
 
  begin mathsize 20px style 1 right parenthesis space straight k over straight r subscript straight n equals mv squared over straight r subscript straight n space semicolon space space straight k equals mv squared space minus space space multiply space by space 1 half space on space both space side space space
we space get space straight k over 2 equals mv squared over 2 space which space straight K. straight E space left parenthesis straight T subscript straight n right parenthesis space equals straight K over 2 space and space there space is space n o space " straight n " space term space in space it. space So space straight T subscript straight n space is space independent space of space straight n space
2 right parenthesis space space mvr subscript straight n equals fraction numerator begin display style nh end style over denominator begin display style 2 straight pi end style end fraction semicolon space space space space space straight v equals fraction numerator begin display style nh end style over denominator begin display style 2 πmr subscript straight n end style end fraction
3 right parenthesis space straight k equals straight m open parentheses fraction numerator begin display style nh end style over denominator begin display style 2 πmr subscript straight n end style end fraction close parentheses squared
4 right parenthesis straight r subscript straight n to the power of 2 space end exponent equals open parentheses fraction numerator straight h over denominator 4 straight pi squared straight m end fraction close parentheses space straight x space straight n squared space space space semicolon space open parentheses fraction numerator begin display style straight h end style over denominator begin display style 4 straight pi squared straight m end style end fraction close parentheses equals constant space

5 right parenthesis space straight r subscript straight n space straight alpha space straight n end style 
Answered by Expert 7th December 2017, 2:41 PM
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