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Course Overview Relativity • The speed of light is the same for ALL observers, even if they are moving toward or away from the source of light • Nothing travels faster than light and Practical Consequences: GPS, Magnetism, Snell’s Law, Doppler Effect, Nuclear Binding Energy, E=mc2 Use your clicker to decide The Theory of Relativity….. A. Only applies in outer space B. Only applies to things moving close to the speed of light C. Is needed to understand cars driving along the highway D. Has few if any practical applications E. None of the above Light as a Wave If Light is an electromagnetic wave, lets start by looking at how waves behave. Ocean Waves entering a Cove • Where the long ocean waves enter the opening of the cove, they spread out in rings, as if from a point. • This phenomenon is called Diffraction • Exactly the same thing happens to sound, and EM waves (light, radio, X-rays etc) 24.1 Huygens’ Principle and Diffraction Large aperture Small aperture The smaller the aperture (or the more the waves are disturbed) the less information remains about the original direction of the waves. Interference Pattern Airey Pattern: Diffraction by a circular aperture For a circular hole (for example your eye’s pupil, or the aperture in a camera) the diffraction pattern is a central maximum, surrounded by concentric rings The angular diameter of the central spot (in radians) is θmin = 1.22λ/D Where D is the diameter of the aperture (in meters) • This fact is a fundamental limitation for ALL optical devices • Nothing smaller than θmin can be resolved, no matter what the magnification! ConcepTest 24.5a The diffraction pattern below arises from a single slit. If we would like to sharpen the pattern, i.e., make the central bright spot narrower, what should we do to the slit width? Diffraction I 1) narrow the slit 2) widen the slit 3) enlarge the screen 4) close off the slit ConcepTest 24.5a The diffraction pattern below arises from a single slit. If we would like to sharpen the pattern, i.e., make the central bright spot narrower, what should we do to the slit width? Diffraction I 1) narrow the slit 2) widen the slit 3) enlarge the screen 4) close off the slit The angle at which one finds the first minimum is: sin θ = λ / d The central bright spot can be narrowed by having a smaller angle. This in turn is accomplished by widening the slit. d θ θ Why can’t we see bacteria without a microscope? Why can’t you recognize people a mile away? What is the smallest detail on the Earth’s surface that can be made out in photos taken by a camera with a 2.3m diameter objective mirror, carried by on a satellite in near earth orbit? The Hubble Space Telescope (diameter 2.3 m is similar to the imaging satellites flown by the National Reconnaissance Office (NRO), except they look DOWN! Mirrors and Lenses Electromagnetism • Magnetic Fields are caused by what? A. B. C. D. Magnetic Charges Electric Fields Electric Currents Charges in Motion • Faraday’s Electromagnetic lab, computer simulation in mastering physics. • Check your understanding of practical applications for the exam. (resistance, capacitance, power, energy lost in wires, transformers, work done by electric fields…etc.) Electric Generators - Wind Turbine Generators that use magnets and coils, plus a source of mechanical power are often called Alternators - there’s one in your car! Alternators are the simplest and most efficient type of generator. They produce alternating current. Coils Magnets If an object is heated, it will start to glow. Which of, the following is true? A. A glowing red object is hotter than a glowing yellow object B. A glowing blue object is hotter than a glowing red object C. Very hot objects glow mainly in the infrared At what wavelengths does your body radiate the most electromagnetic energy? A. Around 9000-10000 nm B. At exactly 9354.8 nm C. Around 300-700 nm D. I don’t radiate electromagnetic waves because my body isn’t magnetic Energy Levels in the Atom Which of the following transitions will cause the atom the radiate light of the shortest wavelength? A. n=4 to n=1 B. n=3 to n=2 C. n=4 to n=3 D. n=1 to n=2 ConcepTest 27.1 Which has more energy, a photon of: Photons 1) red light 2) yellow light 3) green light 4) blue light 5) all have the same energy 400 nm 500 nm 600 nm 700 nm ConcepTest 27.1 Which has more energy, a photon of: Photons 1) red light 2) yellow light 3) green light E = hf 400 nm 4) blue light 5) all have the same energy 500 nm 600 nm 700 nm The photon with the highest frequency has the most energy because E = hf = hc/λ (recall that c = f λ). So a higher frequency corresponds to a lower wavelength. The highest energy of the above choices is blue. What’s “wrong” with this diagram of the photoelectric effect? A. Red light cannot eject electrons because it carries too little energy B. Two photons are shown hitting the surface but 3 electrons are being ejected C. Nothing is wrong, as long as the photons carry enough energy they can eject any number of electrons Most Nuclear Radiation is Natural Fun facts: • The most radioactive thing most of us encounter in a year is a banana. • Your radiation dose from flying in a plane is greater than your dose from the security X-ray scanner at check-in. ConcepTest 31.6 Radiation Shielding Which type of radiation goes 1) alpha radiation farther in matter before 2) beta radiation losing all of its energy ? 3) gamma radiation 4) all about the same distance ConcepTest 31.6 Radiation Shielding Which type of radiation goes 1) alpha radiation farther in matter before 2) beta radiation losing all of its energy ? 3) gamma radiation 4) all about the same distance Alpha particles have such a large charge, they ionize many atoms in α a short distance, and so lose their β energy rapidly and stop. Gamma γ rays travel great distances before ionizing an atom. paper aluminum lead Types of High energy Radiation • Why do these different radiation types have such different penetrating abilities? • What other types of experiments would distinguish them? • How would you measure their mass and charge, if any? 30.3 Radioactivity Alpha and beta rays are bent in opposite directions in a magnetic field, while gamma rays are not bent at all. Remember the Right Hand Rule ConcepTest 30.4b Particle Emission II A radioactive substance decays and the emitted particle passes through a uniform magnetic field pointing into the page as shown. In which direction are gamma rays × × × × × × × × × × × × × × × × deflected? source × × × × B field ConcepTest 30.4b Particle Emission II A radioactive substance decays and the emitted particle passes through a uniform magnetic field pointing into the page as shown. In which direction are gamma rays × × × × × × × × × × × × × × × × deflected? source Gamma rays are uncharged, so they will not be deflected by a magnetic field. Follow-up: What particles are bent to the right? × × × × B field Cloud Chamber photographs Above: Ionization tracks made by high energy particles. Right: The addition of a magnetic field causes the particles to form curved, circular, or even spiral tracks. Nuclear Binding Energy To compare how tightly bound different nuclei are, we divide the binding energy by A to get the binding energy per nucleon. • Rapid estimates of total binding energy for any element can be made from this graph • Compare binding energy of reactants and products to find the energy released (or required) • Energetics of Fission and Fusion reactions • Stability of Nuclei • Practical calculations for Nuclear power ConcepTest 30.2c Binding Energy III On a balance scale, you put 2 neutrons and 1 proton on one side and you put a tritium nucleus (3H) on the other. Which side weighs more? 1) the 2 neutrons and 1 proton 2) the tritium nucleus 3) they both weigh the same 4) it depends on the specific isotope of tritium ConcepTest 30.2c Binding Energy III On a balance scale, you put 2 neutrons and 1 proton on one side and you put a tritium nucleus (3H) on the other. Which side weighs more? 1) the 2 neutrons and 1 proton 2) the tritium nucleus 3) they both weigh the same 4) it depends on the specific isotope of tritium need to add 8.5 MeV to balance scale The mass of the 2 neutrons and 1 proton is less when they are bound together as tritium. The mass difference is the binding energy. 30.11 Radio-Carbon Dating • Radioactive dating can be done by analyzing the fraction of carbon in organic material that is carbon-14. • The ratio of carbon-14 to carbon-12 in the atmosphere has been roughly constant over thousands of years. A living plant or tree will be constantly exchanging carbon with the atmosphere, and will have the same carbon ratio in its tissues. • When the plant dies, this exchange stops. Carbon-14 has a half-life of about 5730 years; it gradually decays away and becomes a smaller and smaller fraction of the total carbon in the plant tissue. • This fraction can be measured, and the age of the tissue deduced. Use of Polarizer to remove Reflections and Glare in Photography (and Everyday life) Without polarizer: (or adjusted horizontally) Reflections in surface of water With Polarizer: (adjusted vertically) Reflections suppressed. The leaves at the bottom of the pond are now visible