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AP Unit II Day 4 Objectives: Discuss the duality of light Learn how energy and light are related Learn how to apply the Bohr model to solve for energy, wavelength, and frequency of light Quiz History of the Atom Review Model – explains things not understood in more familiar terms Ex: “hoodie” ”plant cell” “star” “platypus” - egg-laying, venomous, duck-billed, beaver-tailed, otter-footed mammal Duality of Light What is light? o A form of electromagnetic radiation o Radiation carries energy through space o Diffracts like waves o Comes in packets – photoelectric effect – Einstein – particle o Use whichever one is “handy” o Theory: light is composed of photons that have both particle and wave properties o Light as a WAVE: Has a wavelength, λ Has a frequency, ν Has a speed, c Electromagnetic spectrum is a display of the various types of electromagnetic radiation Visible radiation wavelengths 400 nm(violet)-750 nm(red) o BUT, some phenomena can not be explained using a wave model-Light as a PARTICLE: Blackbody radiation is the emission of light from hot objects Ex: light bulb, heating element Certain threshold necessary Planck investigated this and proposed that energy can only be absorbed or released from atoms in certain amounts, called quanta A discrete quantity of energy “fixed amount” A quantum is the smallest amount of energy that can be emitted or absorbed as electromagnetic radiation: E = hν what else is quantized? Piano, stairs, letter grades Photoelectric effect is the emission of electrons from metal surfaces on which light shines Provides evidence for the particle nature of light AND quantization light striking metal causes the metal to lose e minimum frequency required – aka: certain threshold of E needed light behaves as tiny energy packets – photons therefore is particle-like AND wave-like E=hν Electrons are only ejected IF the photons have sufficient energy Emission spectra are the emissions of light from electronically excited gas atoms Light Waves o Amplitude o Trough o Wavelength o Node o Frequency o String o Crest Energy and Light o c=hν o Electromagnetic radiation – oscillation of the electromagnetic field o c= 2.998*108 m/s o h= 6.626*10-34 J sec KNOW the electromagnetic spectrum – relative orders (overhead) Radio micro IR ROYGBIV UV x-ray gamma Inverse and direct proportionalities of it c= E= h to inverse E to directly E = hc/ E to inverse 1/2= E2/E1 inverse 1/2= E1/E2 direct Problems 6.21: Molybdenum metal must absorb radiation with a minimum frequency of 1.09*1015 s-1 before it can emit an electron from its surface via the photoelectric effect. What is the minimum energy needed to produce this effect? What wavelength radiation will provide a photon of this energy? If Mo is irradiated with a light of wavelength of 120 nm, what is the maximum possible kinetic energy of the emitted electrons? 6.17: Some sunburns occur with exposure to UV light of about a 325 nm wavelength. What is the energy of a photon of this wavelength? What is the energy of a mole of these photons? How many photons are in a 1.00 mJ burst of this radiation?