Atoms And Nuclei Question 269

Question: If one were to apply Bohr model to a particle of mass ’m’ and charge ‘q’ moving in a plane under the influence of a magnetic field ‘B’, the energy of the charged particle in the nth level will be:

Options:

A) n(hqB2πm)

B) n(hqB8πm)

C) n(hqB4πm)

D) n(hqBπm)

Show Answer

Answer:

Correct Answer: C

Solution:

  • qVB=mv2r

    and nh2π=mvr Multiplying equation (i) and (ii),

    qBnh2π=m2v2

    Now multiplying both sides by 12m ,

    nqBh4πm=12mv2 i.eKE=n[qBh4πm]



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