Atoms And Nuclei Question 276

Question: According to Bohr’s theory, the time averaged magnetic field at the center (i.e. nucleus) of a hydrogen atom due to the motion of electrons in the nth orbit is proportional to : (n = principal quantum number)

Options:

A) $ {{n}^{-4}} $

B) $ {{n}^{-5}} $

C) $ {{n}^{-3}} $

D) $ {{n}^{-2}} $

Show Answer

Answer:

Correct Answer: D

Solution:

  • Magnetic field at the centre of nucleus of H-atom, $ B=\frac{{\mu_{0}}I}{2r} $ ?.(i) According to Bohr’s model, radius of orbit $ r\propto n^{2} $ eq. (i) we can also write as $ B\propto {{n}^{-2}} $


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