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JEE Main 2008 (AIEEE) · Davisson-Germer, Uncertainty, Compton & X-Rays

Davisson-Germer, Uncertainty, Compton & X-Rays question from JEE Main 2008 (AIEEE)

Q23JEE Main 2008 · AIEEEMedium

Davisson-Germer, Uncertainty, Compton & X-Rays

In an experiment, electrons are made to pass through a narrow slit of width ′d′'d' comparable to their de Broglie wavelength. They are detected on a screen at a distance ′D′'D' from the slit (see figure).

Figure

Which of the following graphs can be expected to represent the number of electrons ′N′'N' detected as a function of the detector position ′y′ (y=0'y'\ (y = 0 corresponds to the middle of the slit ))

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Answer: (d)

  1. Electrons behave as waves and give a single-slit diffraction pattern on the screen.
  2. This has a broad, tall central maximum at y=0y = 0, spreading beyond the slit width dd, with smaller secondary maxima on both sides.
  3. Graph (d) shows the central peak plus weaker side peaks; (b) is the shadow of a particle beam and (a), (c) lack secondary maxima.
  4. So the answer is (d).
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