If one were to apply the 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 n t h level will be:

Step-by-step solution

For a charge q moving in a uniform magnetic field B f m = m v 2 R   q V B =   m v 2 R   ⇒                       m v 2 = q V B R ⇒                 1 2   m v 2 = q V B R 2 ⇒           E n e r g y = q V B R 2             ( 1 ) By Bohr's quantization condition, Angular momentum L = n h 2 π ⇒