General Physics I - Department of Physics and Astronomy

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Scattering of lightPhysics 12307 31 20 Lecture XI 1 March 8 in lecture class 12 30 1 45pm Equation sheet will be provided with the test.
Review it in advance available on the web HW 6 is based on Chapters 33 37 to help youprepare for the test Lecture 14 review send requests e g homework problems .
HW 7 light and conceptual but more workafter spring break07 31 20 Lecture XI 2 Electron and EM wave Prediction from classical EM.
Electric field exerts a force on an electron acceleration electron radiates EM wave Oscillating electric field frequency f onelectron forced oscillator with the same Efrequency radiation at the same frequency f.
An electron will scatter EM wave frequency f wavelength in all directions without changingits frequency and wavelength Rayleigh scattering 1 Blue violet light gets scattered more than red .
orange than is why the sky is blue07 31 20 Lecture XI 3 Photons particles of light Photon particle of light quantum of light gamma quant Each photon carries energy proportional to the frequency of the.
E hf hc Photon has zero mass m0 0 it is always and in any inertial frameof reference moving at the speed of light v c Photon s momentum can be calculated from relativistic formulap h .
2 2 2 2 4 2 2E p c m c p c 0p E c h 07 31 20 Lecture XI 4 Collisions Compton effect.
EM wave collection of photons Light particle photon scatters KEeof electron at rest E E KEe Electron gets some energy .
photon looses energy E goes down f goes down wave length goes up Expect maximum change.
longest for back scattering 07 31 20 Lecture XI 5 Compton effect Calculate wavelength of scattered.
photon as a function of angle with Eerespect to its initial direction Energy and momentum is conservedE Ee me c E Energy momentum E .
p pe p conservationE pe c me ce Dispersion equationsRelate energy momentum and massE p c.
07 31 20 Lecture XI 6 Compton effect EeEe E me c 2 E E pe p p .
E pe c me cE p c hc Ee E me c 2 E 2 Ee E me c 4 E 2 2 E E me c 2 2 E E 2 2 2 2 pe p p c pe c 2 E E 2 2 E E cos .
Ee pe c 2 me c 4 2 E E me c 2 2 E E 1 cos me c 4 me c 4 2 E E me c 2 2 E E 1 cos E E me c 2 E E 1 cos 07 31 20 Lecture XI 7 Compton effect Ee.
E p c hc E E E me c 2 E E 1 cos hc hc hc 2 1 2 1 cos E .
me c hc 1 cos 1 cos 07 31 20 Lecture XI 8 Compton effect Ee.
1 cos Always positive change 0 cos 1 No change no interaction2h Max change cos 1 E .
me c Back scattering 2 cos 0 Compton wavelength Note how small h hc 1243eV nm 3 C 2.
nm 1 4 pmme c me c 0 5 10 eV07 31 20 Lecture XI 9 Pair production A piece of antimatter Positron .
antipartner of electron same mass E opposite charge When matter and antimatter meet positron and electron collide they E annihilate produce light.
It can go in the opposite direction as A photon can create matter such as the e afterproduction of a positron and electron collision Minimum energy of the photon for pair E production from energy conservation .
E 2mec2 2 0 5MeV 1MeVhc 1243eV nm 12 6 1 2 10E 1 10 eV.
07 31 20 Lecture XI 10 Light interaction with matter Rayleigh scattering 1 100 eV 500 10nm Photoelectric effect photon is absorbed and an 1 10 eV 500nm.
electron is knocked out Excitation absorbed byatoms that go to an excited 1 20 eV 500 100nmstate Atom goes to groundstate and emits a photon .
Compton scattering wavelength is increased 0 5MeV 2 43pm Electron positron pairproduction 1MeV 1 2pm07 31 20 Lecture XI 11.
Light interaction with matter07 31 20 Lecture XI 12Scattering of light Physics 123 Test #1 March 8- in lecture class (12:30-1:45pm) Equation sheet will be provided with the test Review it in advance – available on the web HW#6 is based on Chapters 33-37 to help you prepare for the test Lecture #14 – review, send requests (e.g. homework problems) HW#7 – light and conceptual, but more work after spring break Electron and EM wave Prediction ...

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