According to Bohr's theory, the time averaged magnetic field at the centre (i.e., nucleus) of a hydrogen…

According to Bohr's theory, the time averaged magnetic field at the centre (i.e., nucleus) of a hydrogen atom due to the motion of electrons in the nth orbit is proportional to: (n= principal quantum number)
  1. n-3
  2. n-2
  3. n-4
  4. n-5

Solution

v∝ z n

r∝ n 2 z

B= μI 2R

I= e T = e ( 2πR v ) = e 2π v R

B= μ 0 2 e 2π v R 2

B= μ 0 e 4π z n ( n 2 z ) 2

B=μ0e4πz3n5

B∝ n −5 .

Asked in: JEE Main 2017 (08 Apr Online)

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