The phenomena that experimentally proves Einstein's mass-energy relation areI. Compton's effectII. photoelectric effectIII. annihilation of matterIV. pair production of matter

Correct answer: D. III. Annihilation of matter and IV. pair production of matter.

  • A. I. Compton's effect and II. photoelectric effect.
  • B. I. Compton's effect and IV. pair production of matter.
  • C. II. Photoelectric effect and III. annihilation of matter.
  • D. III. Annihilation of matter and IV. pair production of matter.

Explanation

Einstein's mass-energy relation, expressed as E=mc², is experimentally proven by phenomena that involve the conversion between mass and energy. Annihilation of matter involves particles and antiparticles converting into energy, and pair production of matter involves energy converting into particles and antiparticles. These processes directly demonstrate the mass-energy equivalence. In contrast, Compton's effect and the photoelectric effect involve interactions between photons and matter but do not involve such conversions, and thus do not demonstrate the mass-energy relation.

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The particle model treats light as photons with energy E equals hf and momentum related to wavelength. Questions involve the photoelectric effect, work function, threshold frequency, stopping potential and photon energy, while distinguishing particle behaviour from the wave description of interference and diffraction.

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