Electrons can be scattered from the surface of a metal to form a diffraction pattern. This shows that: Electrons can behave like waves Electrons have charge Electrons can behave like waves and particles Electrons can behave like particles

Electrons can be scattered from the surface of a metal to form a diffraction
pattern. This shows that:
Electrons can behave like waves
Electrons have charge
Electrons can behave like waves and particles
Electrons can behave like particles

Electron diffraction from a metal surface demonstrates that electrons can behave like waves and particles, confirming wave-particle duality in quantum physics. This phenomenon, observed in experiments like Davisson-Germer in 1927, shows electrons producing interference patterns identical to waves when scattered by crystal lattices. The correct answer is “Electrons can behave like waves and particles”.

Option Analysis

  • Electrons can behave like waves: This captures the diffraction pattern, a hallmark of wave interference, as electrons scatter elastically from atomic planes, forming rings or spots. However, it ignores particle properties like charge and discrete detection.
  • Electrons have charge: While true (electrons are negatively charged), this does not explain diffraction, which requires wave nature for interference, not just electrostatic interactions.
  • Electrons can behave like waves and particles: Accurate, as diffraction reveals wave behavior (λ = h/p), while electrons arrive as discrete particles on screens. This duality is central to quantum mechanics.
  • Electrons can behave like particles: Particles would scatter randomly without interference; the observed pattern rules this out alone.

Davisson-Germer Experiment

Electrons accelerated by voltage V (energy eV = ½mv²) strike a nickel crystal, diffracting like X-rays per Bragg’s law (nλ = 2d sinθ). Patterns match de Broglie’s hypothesis, with wavelength shrinking as speed increases, proving matter waves. No pattern occurs without wave properties, distinguishing from classical particles.

Wave-Particle Duality Implications

Complementarity principle states electrons show wave traits in diffraction setups and particle traits in photoelectric effects. This duality applies to all matter, scaling with mass and velocity.

 

Leave a Reply

Your email address will not be published. Required fields are marked *

Latest Courses