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 Mar, 2019, 10:20: PM

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 Ankit K | 21st Mar, 2019, 09:05: AM

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