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NEET Class neet Answered

please answer this ?
Asked by Prashant DIGHE | 10 Apr, 2020, 09:21: PM
Expert Answer
The electric potential between proton and electron is given by 
V space equals space V subscript 0 ln r subscript n over r subscript 0
B y space C o u l o m apostrophe s space l a w comma
F equals negative fraction numerator d V over denominator d r end fraction equals negative V subscript 0 over r space
open vertical bar F close vertical bar space equals space V subscript 0 over r space

C e n t r i p e t a l space f o r c e space i s space g i v e n space a s comma space
F subscript c equals fraction numerator m v squared over denominator r subscript n end fraction space
A c c o r d i n g space t o space B o h r apostrophe s space m o d e l space e l e c t r o n space m o v e s space a l o n g space i t s space c i r c u l a r space o r b i t.
T h u s comma space c o u l o m b space f o r c e space i s space e q u a l space t o space c e n t r i p e t a l space f o r c e space a n d space i s space g i v e n space a s comma space
therefore fraction numerator m v squared over denominator r subscript n end fraction space equals V subscript 0 over r subscript n space space
rightwards double arrow m v squared equals V subscript 0 space end subscript
A s space e l e c t r o n space m o v e s space i n space c i r c u l a r space o r b i t space i t s space a n g u l a r space m o m e n t u m space i s space g i v e n space a s comma space
m v r subscript n space equals space fraction numerator n h over denominator 2 pi end fraction

rightwards double arrow r subscript n proportional to n
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