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The magnetic field induction produced at the centre of orbit due to an electron revolving in nth orbit of hydrogen atom is proportional to

Asked by samairakhanna185 20th March 2019, 10:20 PM
Answered by Expert
Answer:
T h e space m a g n e t i c space f i e l d space i n d u c e d space a t space t h e space c e n t r e space o f a n space o r b i t space d u e space t o space a n space e l e c t r o n space r e v o l v i n g space i n space t h e space n to the power of t h end exponent space o r b i t space o f space h y d r o g e n space a t o m space i s
B space equals space fraction numerator mu subscript 0 I subscript n over denominator 2 r subscript n end fraction
w h e r e space mu subscript 0 space i s space p e r m i a b i l i t y space o f space f r e e space s p a c e
a n d space a s space w e space k n o w space f r o m space b o h r space a t o m i c space m o d e l
r subscript n space end subscript space proportional to space n squared
a n d space c u r r e n t space p r o d u c e d space i n space n to the power of t h end exponent space o r b i t space d u e space t o space t h e space r e v o l u t i o n space o f space e l e c t r o n space i s
I subscript n space proportional to space n to the power of negative 3 end exponent
p u t t i n g space t h e s e space v a l u e space
w e space c a n space s e e space m a g n e t i c space f i e l d
B space proportional to space n to the power of negative 3 minus 2 end exponent
B proportional to space n to the power of negative 5 end exponent
Answered by Expert 21st March 2019, 9:05 AM
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