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CBSE Class 12-science Answered

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Asked by sudheerkapoor67 | 30 Jan, 2018, 09:49: PM
answered-by-expert Expert Answer
begin mathsize 12px style P o t e n t i a l space e n e r g y space a t space a space p o i n t space R space i s space g i v e n space b y space integral subscript infinity superscript R F left parenthesis r right parenthesis d r comma space r e q u i r e d space w o r k d o n e space t o space b r i n g space t h e space c h a r g e space f r o m space i n f i n i t y space t o space t h e space p o i n t space R end style
begin mathsize 12px style F o r space t h i s space p r o b l e m space P o t e n t a i l space e n e r g y space a t space R space equals space integral subscript infinity superscript R k e squared over r squared d r space equals space minus k e squared over R

a t space r a d i u s space R subscript 1 space equals space minus k e squared over R subscript 1 semicolon space space space space a t space r a d i u s space R subscript 2 space equals space minus k e squared over R subscript 2 semicolon space space space space space space space space space space space space space space space space R 1 space greater than space R 2 space space space
c h a n g e space i n space p o t e n t i a l space e n e r g y space space equals space k e squared open parentheses negative 1 over R subscript 1 space minus open parentheses negative 1 over R subscript 2 close parentheses space close parentheses space equals space k e squared open parentheses 1 over R subscript 2 space minus 1 over R subscript 1 space close parentheses space end style
 
Change in potential energy is devrease in the total energy of atom. But i do not know how the factor (1/2) is coming in all the options
Answered by Thiyagarajan K | 31 Jan, 2018, 12:48: PM
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