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KVPY2015PhysicsWave Optics

A beam of monoenergetic electrons, which have been accelerated from rest by a potential U , is used to form an interference pattern in a Young's Double Slit experiment. The electrons are now accelerated by potential 4 U . Then the fringe width

Options

  1. Aremains the same
  2. Bis half the original fringe width
  3. Cis twice the original fringe width
  4. Dis one-fourth the original fringe width

Correct answer

B. is half the original fringe width

Step-by-step solution

eV = 1 2 mv ² so , eV = p² 2 ~m and = h p , V 1 ² and = n D d So as potential U becomes 4 U then becomes half

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