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MHT CET202311 May 2023Evening ShiftPhysicsAtomic PhysicsActual

Bohr model is applied to a particle of mass ' m ' and charge ' q ' moving in a plane under the influence of a transverse magnetic field ' B '. The energy of the charged particle in the n ^ th level will be [ h = Planck's constant ]

Options

  1. AnhqB 4 m
  2. BnhqB 2 m
  3. CnhqB m
  4. D2 nhqB m

Correct answer

A. nhqB 4 m

Step-by-step solution

We know, aligned mvr & = nh 2 vr & = nh 2 m ... (i) aligned Also, aligned qvB & = mv ^2 r mv & = qBr ... (ii) & mv ^2 r = qBr nh 2 m . . .( Multiplying (i) with (ii)) E & = 1 2 mv ^2= n [ qBh 4 m ] aligned

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