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CUET · PHYSICS · PYQ PAPER 2023

A beam of electron is used in Young's double slits experiment. The slit width is d . When velocity of electron is increased, then :

  1. A No interference is observed
  2. B Fringe width increases
  3. C Fringe width decreases
  4. D Fringe width remains same
Verified Solution

Answer & Solution

Correct Answer

(C) Fringe width decreases

Step-by-step Solution

Detailed explanation

Fringe width: \( \beta = \frac{\lambda D}{d} \) de Broglie wavelength: \( \lambda = \frac{h}{p} = \frac{h}{mv} \) \( \beta = \frac{(h/mv)D}{d} = \frac{hD}{mvd} \) As velocity \( v \) increases, fringe width \( \beta \) decreases.