MHT CET202123 Sep 2021Evening ShiftPhysicsMagnetic Effects of CurrentActual
In the Bohr model, an electron moves in a circular orbit around the nucleus. Considering an orbiting electron to be a circular current loop, the magnetic moment of the hydrogen atom, when the electron is in nth excited state, is ( e = electronic charge, m _ e = mass of the electron, h = Planck's constant)
Options
- A( e m _ e ) nh 2
- B( e m _ e ) n ^2 ~h 2
- C( e 2 ~m _ e ) n ^2 ~h 2
- D( e 2 ~m _ e ) nh 2
Correct answer
D. ( e 2 ~m _ e ) nh 2
Step-by-step solution
Current due to motion of electron, i= e v 2 r Magnetic moment, M = iA = ev 2 r r ^2= evr 2 = e 2 ~m ( mvr )= e 2 ~m ( nh 2 )