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MHT CET202014 Oct 2020Evening ShiftPhysicsAtomic PhysicsActual

An electron of mass 'm' is revolving around the nucleus in a circular orbit of radius 'r' has angular momentum 'L'. The magnetic field produced by the electron at the centre of the orbit is (e = electric charge, ₀= permeability of free space)

Options

  1. A₀ eL 4 m r²
  2. B₀ eL 4 m r³
  3. C₀ eL 2 mr ²
  4. D₀ eL 2 m r³

Correct answer

B. ₀ eL 4 m r³

Step-by-step solution

B L = ₀ 4 e V r² m V r L=m V r B L = ₀ 4 e V e² 1 m V r B= ₀ 4 L r = ₀ e L 4 m r³

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