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KVPY2017PhysicsDual Nature of Matter

An electron in an electron microscope with initial velocity v₀ i enters a region of a stray transverse electric field E ₀ j . The time taken for the change in its de-Broglie wavelength from the initial value of to / 3 is proportional to

Options

  1. AE ₀
  2. B1 E ₀
  3. C1 E ₀
  4. DE₀

Correct answer

B. 1 E ₀

Step-by-step solution

= h mv 1 v v = v _ y ²+ v ₀² v _ y = u _ y + a _ y t v _ y =0+ qE ₀ ~m t (3 v ₀ )= v _ y ²+ v ₀² v _ y ²=8 v ₀² qE ₀ ~m t =2 2 v ₀ t = 2 2 ~m q E ₀ v ₀ t 1 E ₀

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