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Physics 102: Lecture 22 Quantum Mechanics: Blackbody Radiation, Photoelectric Effect, Wave-Particle Duality Physics 102: Lecture 22, Slide 1 State of Late 19th Century Physics • Two great theories “Classical physics” – Newton’s laws of mechanics, including gravity – Maxwell’s theory of electricity & magnetism, including propagation of electromagnetic waves • But…some unsettling experimental results calls into question these theories Lecture 28 – Einstein and relativity – The quantum revolution Lectures 22-25 Physics 102: Lecture 22, Slide 2 Quantum Mechanics! • At very small sizes the world is VERY different! – – – – Energy is discrete, not continuous. Everything is probability; nothing is for certain. Particles often seem to be in two places at same time. Looking at something changes how it behaves. Physics 102: Lecture 22, Slide 3 Three Early Indications of Problems with Classical Physics • Blackbody radiation • Photoelectric effect • Wave-particle duality Physics 102: Lecture 22, Slide 4 Blackbody Radiation Hot objects glow (toaster coils, light bulbs, the sun). As the temperature increases the color shifts from Red (700 nm) to Blue (400 nm) The classical physics prediction was completely wrong! (It said that an infinite amount of energy should be radiated by an object at finite temperature) Physics 102: Lecture 22, Slide 5 Blackbody Radiation Spectrum Visible Light: ~0.4mm to 0.7mm Higher temperature: peak intensity at shorter l Wien’s Displacement Law: lmaxT = 2.898x10-3 m·K Physics 102: Lecture 22, Slide 6 Blackbody Radiation: First evidence for Q.M. Max Planck found he could explain these curves if he assumed that electromagnetic energy was radiated in discrete chunks, rather than continuously. The “quanta” of electromagnetic energy is called the photon. Energy carried by a single photon is E = hf = hc/l Planck’s constant: h = 6.626 x 10-34 Joule sec Physics 102: Lecture 22, Slide 7 Preflights 22.1, 22.3 A series of light bulbs are colored red, yellow, and blue. Which bulb emits photons with the most energy? The least energy? Which is hotter? (1) stove burner glowing red (2) stove burner glowing orange Physics 102: Lecture 22, Slide 8 ACT: Nobel Trivia For which work did Einstein receive the Nobel Prize? 1) Special Relativity E=mc2 2) General Relativity Gravity bends Light 3) Photoelectric Effect Photons 4) Einstein didn’t receive a Nobel prize. Physics 102: Lecture 22, Slide 9 Photoelectric Effect • Light shining on a metal can “knock” electrons out of atoms. • Light must provide energy to overcome Coulomb attraction of electron to nucleus • Light Intensity gives power/area (i.e. Watts/m2) – Recall: Power = Energy/time (i.e. Joules/sec.) light e– metal Physics 102: Lecture 22, Slide 10 Photoelectric Effect: Light Intensity • What happens to the rate electrons are emitted when increase the brightness? Rate increases • What happens to max kinetic energy when increase brightness? Nothing light e– metal Physics 102: Lecture 22, Slide 11 Photoelectric Effect: Light Frequency • What happens to rate electrons are emitted when increase the frequency of the light? Nothing, but goes to 0 for f < fmin • What happens to max kinetic energy when increase the frequency of the light? Increases light No e– e– metal Physics 102: Lecture 22, Slide 12 e– Photoelectric Effect Summary • Each metal has “Work Function” (W0) which is the minimum energy needed to free electron from atom. • Light comes in packets called Photons E=hf h = 6.626 x 10-34 Joule sec • Maximum kinetic energy of released electrons K.E. = hf – W0 KE hf e– Physics 102: Lecture 22, Slide 13 W0 ACT: Photon A red and green laser are each rated at 2.5mW. Which one produces more photons/second? 1) Red Physics 102: Lecture 22, Slide 14 2) Green 3) Same Quantum Physics and the WaveParticle Duality I. Is Light a Wave or a Particle? • Wave – Electric and Magnetic fields act like waves – Superposition: Interference and Diffraction • Particle – Photons (blackbody radiation) – Collision with electrons in photo-electric effect BOTH Particle AND Wave Physics 102: Lecture 22, Slide 15 II. Are Electrons Particles or Waves? • • • • Particles, definitely particles. You can “see them”. You can “bounce” things off them. You can put them on an electroscope. • How would know if electron was a wave? Look for interference! Physics 102: Lecture 22, Slide 16 Young’s Double Slit w/ electron Jönsson – 1961 d Source of monoenergetic electrons Physics 102: Lecture 22, Slide 17 L 2 slitsseparated by d Screen a distance L from slits Electrons are Waves? • Electrons produce interference pattern just like light waves. – Need electrons to go through both slits. – What if we send 1 electron at a time? – Does a single electron go through both slits? Physics 102: Lecture 22, Slide 18 Young’s Double Slit w/ electron One electron at a time Merli – 1974 Tonomura – 1989 d Source of monoenergetic electrons L Interference pattern = probability Same pattern for photons Physics 102: Lecture 22, Slide 19 ACT: Electrons are Particles • If we shine a bright light, we can ‘see’ which hole the electron goes through. (1) Both Slits Physics 102: Lecture 22, Slide 20 (2) Only 1 Slit Electrons are Particles and Waves! • Depending on the experiment electron can behave like – wave (interference) – particle (localized mass and charge) • If we don’t look, electron goes through both slits. If we do look it chooses 1. I’m not kidding it’s true! Physics 102: Lecture 22, Slide 21 Schrödinger's Cat • Place cat in box with some poison. If we don’t look at the cat it will be both dead and alive! Poison Physics 102: Lecture 22, Slide 22 More Nobel Prizes! • 1906 J.J. Thompson – Showing cathode rays are particles (electrons). • 1937 G.P. Thompson (JJ’s son) – Showed electrons are really waves. • Both were right! Physics 102: Lecture 22, Slide 23 Quantum Summary • Particles act as waves and waves act as particles • Physics is NOT deterministic • Observations affect the experiment Physics 102: Lecture 22, Slide 24