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An electron with mass ' m ' with an initial velocity ( t =0) v = v ₀ i ( v ₀ 0 ) enters a magnetic field B =B₀ j . If the initial de-Broglie wavelength at t =0 is ₀ then its value after time ' t ' would be :

Options

  1. A₀ 1- e ^2 ~B ₀^2 t ^2 ~m ^2
  2. B₀ 1+ e ^2 ~B ₀^2 t ^2 ~m ^2
  3. C₀ 1+ e ^2 ~B ₀^2 t ^2 ~m ^2
  4. D₀

Correct answer

D. ₀

Step-by-step solution

Magnetic field does not work Speed will not charge, so De-Broglie wavelength remains same.

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