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Unit 14: Introduction to Modern Physics

The early-1900s experiments that broke classical physics: particle-like light, atomic fingerprints, decaying nuclei, and bending time.

7 topics · 22 questions

Each topic is a path, not a menu: work down it in order and every question builds on the one above. Click any of them to watch the answer draw itself.

The Photoelectric Effect

  1. How it worksHow does a single photon need enough energy on its own to eject an electron, no matter how many dim photons pile up?
  2. How it worksHow does the energy of one photon, not the total brightness of the light, decide whether an electron gets ejected at all?
  3. Going furtherWhat happens to the electrons ejected from a metal when the light's frequency is increased above the threshold?
Your turn1 of 2
Find the energy of a single photon with frequency 14 times 1014 Hz, using Planck's constant h = 6.626 times 10−34 J·s.

Atomic Spectra and Energy Levels

  1. How it worksHow does an electron jumping between fixed energy levels release light at one exact wavelength?
  2. How it worksHow do only certain electron orbits survive around a nucleus as stable, allowed energy levels?
  3. Going furtherWhat happens to the color of light emitted when an electron falls from a much higher energy level instead of the next one down?
Your turn1 of 2
Burning a sample of sodium produces a distinctive yellow-orange glow, while burning a sample of neon produces a completely different reddish-orange glow, with each element consistently showing its own unique, narrow set of colored lines rather than a smooth, continuous rainbow of every color. Why does every element burn with its own distinct set of colored lines instead of a smooth rainbow?

Radioactive Decay

  1. How it worksHow does an unstable nucleus emit alpha, beta, or gamma radiation to settle into a more stable configuration?
  2. How it worksHow does a nucleus decay at a rate set only by its own internal structure, regardless of heat or chemical bonding?
  3. Going furtherWhat happens to an atom's identity on the periodic table after it undergoes alpha decay?
Your turn1 of 2
A chunk of uranium-bearing rock sitting motionless and untouched on a laboratory shelf continuously shoots out radioactive particles from deep within its own atoms, with no outside trigger, heat source, or chemical reaction needed to start that process. Why can a chunk of rock sitting perfectly still on a shelf still be shooting particles out of its own atoms?

Half-Life

  1. How it worksHow does a fixed fraction of a radioactive sample decay away in every equal stretch of time, no matter how much is left?
  2. Worked exampleFind how much of a 100 gram sample of a radioactive isotope remains after 3 half-lives.
  3. Common mistakeWhy doesn't a whole radioactive sample finish decaying after exactly one half-life?
  4. Going furtherWhat happens to the decay rate of a sample as more and more of it decays away over time?
Your turn1 of 2
Find how much of a 560 gram sample of a radioactive isotope remains after 6 half-lives.

Nuclear Fission and Fusion

  1. How it worksHow does a small amount of mass disappearing in a nuclear reaction convert directly into a huge burst of energy?
  2. How it worksHow do fission and fusion release energy through opposite processes, one splitting a heavy nucleus apart and the other joining light ones together?
  3. Going furtherWhat happens inside the Sun's core that lets fusion happen despite the enormous repulsion between hydrogen nuclei?
Your turn1 of 2
Splitting a single uranium nucleus in a fission reaction releases roughly a million times more energy than burning a single molecule of gasoline in an ordinary chemical explosion, an enormous difference for a process happening at such a tiny, individual-atom scale. Why does splitting one uranium nucleus release far more energy than any ordinary chemical explosion?

Relativity as a Concept

  1. How it worksHow does the speed of light staying the same for every observer force space and time themselves to bend?
  2. How it worksHow does a moving clock end up ticking at a genuinely slower rate for an outside observer, not merely appearing to?
  3. Going furtherWhat happens to the amount of time dilation as a traveler's speed gets closer and closer to the speed of light?
Your turn1 of 2
A spaceship clock reads a proper time of 140 seconds while the ship travels at 0.652 times the speed of light. Find the time measured by a stationary outside observer.

Wave-Particle Duality

  1. How it worksHow does light and matter both show wave behavior and particle behavior depending on how you look for either one?
  2. How it worksHow does an electron spread out and interfere like a wave in one setup, yet land as one localized particle in another?
  3. Going furtherWhat happens to the interference pattern in the double-slit experiment when you try to detect which slit each electron passes through?
Your turn1 of 2
Firing individual electrons one at a time through a pair of narrow slits, with long pauses between each single electron, still builds up the same wave-like interference pattern on the detector screen that a continuous beam of electrons would produce, as if each lone electron somehow passed through both slits simultaneously. Why can a single electron fired at two slits build up an interference pattern as if it went through both at once?