homework4
SUNY Stony Brook, PHY 251
Excerpt: ... PHY251 Modern Physics, Homework 4 20 Feb - 27 Feb Lecturer: Urs Achim Wiedemann e-mail: wiedemann@tonic.physics.sunysb.edu Tel: 631-632-4489 Fax: 631-632-9718 Problems: 1. An unstable particle having a mass of mparent = 3.34 1027 kg is initially at ...
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L40
USC, CHEM 432
Excerpt: ... L40 summary (1) Deactivation after absorption: Emission of a photon, rate constant kf Chemistry, rate constant kp Collision w/ surrounding (heat), rate constant kt d [M *] kd [M *] (k p kt k f ) [ M *] dt (2) Fluorescence quantum yield f # of photon emitted # of photon absorbed f kf kd d f 1 d: fluorescence lifetime kd 1 f f: fluorescence lifetime kf d (3) Characteristics of a fluorophore: Quantum yield: f Excitation (i.e. absorption) maxima lex Emission maxima: lem These parameters are sensitive to environment see supplemental note ...
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2009-lecture19-notes
Minnesota, CBS 4521
Excerpt: ... BIOC 4521: Physical Biochemistry (Walters) Class Notes: March 6th 2009 Principles of quantum theory Atkins p. 344-350. Next lecture's reading: p. 350-358 Quantum mechanics: devised to explain the properties of electrons, atoms and molecules Amplitude ...
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Comments_ex6
UMass (Amherst), PH 281
Excerpt: ... Radiation Transfer as a Random Walk Computational Physics Radiation Transfer as a Random Walk Outline Radiation Transfer between "plates" Random Walk Model Random Walk Results Radiation Transfer through "stack of plates" Photon Emitted by Source and absorbed in Plate #1 Each plate absorbs all radiation from neighboring plates above and below. of Photons emitted by Plate 1 absorbed by Source of Photons emitted by Plate 1 absorbed by Plate 2 SOURCE 1 of Photons emitted by Plate 2 absorbed by Plate 1 2 3 4 of Photons emitted by last Plate Escape from System Random Walk Simulation Result can be calculated with random walk. Trial photon leaves source and is absorbed by first plate Random Steps Forward or Back with 50% probability. Track Trial Photon until it escapes from last plate or is absorbed at source. Random Walks Leading to Escape * = ()2= 0.25 SOURCE 1 2 * = ()4= 0.0625 * = ()6= 0.015625 P = ()2 + ()4 + ()6 + ()8 + ()10 + = 1/3 Random Walks Leadin ...
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finalreview
Berkeley, ASTRO 10
Excerpt: ... Physics, Light, Radiation, Spectra - If two objects have the same mass, their center of gravity is located at this position. -> Halfway between them. The force of gravity and the intensity of a light source both fall off according to this mathematical law. -> Inverse square (law) If a visible light source is receding fast enough from an observer, its energy may be shifted into this part of the spectrum. -> Infrared (or radio) - Or, just to redder wavelengths in the visible if it's not moving so fast. The ratio of the speed of the following two photons, as measured from Earth, as they travel through space: an ultraviolet photon emitted by the Sun, and an radio photon emitted by a spaceship traveling away from us at half the speed of light. -> One - All photons move at the same speed in vacuum, period! The element helium was first discovered using observations of this spectral feature in the light coming from the Sun. -> Absorption lines Solar Sys ...
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Midterm_2_(c)
Colorado, PHYS 2130
Excerpt: ... PHYSICS 2130 EXAM 2 Fall 2008 (1.5 hours) Your name: _ You are allowed two handwritten sheets (letter format; written on each side) with anything you wish on it to help you for the exam. You cannot use the text book or the lecture notes (unless they ...
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lecture24
University of Illinois, Urbana Champaign, PHYS 102
Excerpt: ... ecall for charge +1, E= -13.6 eV) 1) 2) 3) E = 9 (-13.6 eV) E = 3 (-13.6 eV) E = 1 (-13.6 eV) 32/1 = 9 Z2 E n = -13 .6 eV 2 n 20 Note: This is LOWER energy since negative! Transitions + Energy Conservation Each orbit has a specific energy: En= -13.6 Z2/n2 Photon emitted when electron jumps from high energy to low energy orbit. Photon absorbed when electron jumps from low energy to high energy: | E1 E2 | = h f = h c / JAVA 25 Line Spectra In addition to the continuous blackbody spectrum, elements emit a discrete set of wavelengths which show up as lines in a diffraction grating. This is how neon signs work! Which lamp is Hydrogen? Better yet. Wavelengths can be predicted! Link 10 Preflight 24.3 Electron A falls from energy level n=2 to energy level n=1 (ground state), causing a photon to be emitted. Electron B falls from energy level n=3 to energy level n=1 (ground state), causing a photon to be emitted. Which photon has more energy? 24% 76% Photon A Photon B A B n=3 n=2 n=1 27 Spectr ...
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P108s01-Q6rcT
Ill. Chicago, PHY 107
Excerpt: ... 6 March 2001 (Tuesday) 2294 SES, 2:00 -2:15 pm Carhart's Section NAME_ Physics 108 Spring 2001 Quiz #6 The blackbody radiation from a laboratory fusion reactor is being studied. The reactor 6 temperature has reached 30,000,000 K. (m T = 2.9 x 10 nm ...
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Chap1HW
North Texas, CHEM 5210
Excerpt: ... Supplementary Home Work Problems Chapter 1 Firstly, read through your notes. Make sure you understand the "Supplementary Mathematics". S1.1 (a) Calculate the energy of one photon of infrared radiation from a Nd:YAG laser, whose wavelength is 1064 nm ...
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hyd_drop_1
RIT, PHYS 301
Excerpt: ... Q: What is the energy of the photon emitted when a hydrogen atoms drops from n=2 to n=1? Initial energy -3.40 eV Final energy -13.60 eV - difference 10.2 eV ...
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lect24_acts
University of Illinois, Urbana Champaign, PHYS 102
Excerpt: ... reflight 24.1 h 2 1 n2 n2 rn = ( ) = (0.0529nm) 2 2 mke Z Z Bohr radius If the electron in the hydrogen atom was 207 times heavier (a muon), the Bohr radius would be 1) 207 Times Larger h 2 1 Bohr Radius = ( ) 2 mke2 2) Same Size 3) 207 Times Smaller This "m" is electron mass, not proton mass! Physics 102: Lecture 24, Slide 5 Preflight 24.2 A single electron is orbiting around a nucleus with charge +3. What is its ground state (n=1) energy? (Recall for charge +1, E= -13.6 eV) 1) 2) 3) E = 9 (-13.6 eV) E = 3 (-13.6 eV) E = 1 (-13.6 eV) Physics 102: Lecture 24, Slide 6 Preflight 24.2 A single electron is orbiting around a nucleus with charge +3. What is its ground state (n=1) energy? (Recall for charge +1, E= -13.6 eV) 1) 2) 3) E = 9 (-13.6 eV) E = 3 (-13.6 eV) E = 1 (-13.6 eV) 32/1 = 9 Z2 E n = -13 .6 eV 2 n Physics 102: Lecture 24, Slide 7 Note: This is LOWER energy since negative! Transitions + Energy Conservation Each orbit has a specific energy: Photon emitted when electron jumps from high e ...
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blackhl
ETSU, MATH 5310
Excerpt: ... The little circles represent small local lightcones. Notice that a photon emitted towards the center of the black hole will travel to the center of the black hole (or at least to rB ). A photon emitted away from the center of the black hole will escape the black hole if it is emitted at r > rS = 2M. However, such photons are pulled towards r = 0 if they are emitted at r < rS . Therefore, any light emitted at r < rS will not escape the black hole and therefore cannot be seen by an observer located at r > rS . Thus the name black hole. Similarly, an observer outside of the black hole cannot see any events that occur in r rS and the sphere r = rS is called the event horizon of the black hole. Note. Notice the worldline of a particle which falls into the black hole. If it periodically releases a ash of light, then the outside observer will see the time between the ashes taking a longer and longer amount of time. There will therefore be a gravitational redshift of photons emitted near r = rS (r > ...
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blackhl
ETSU, MATH 5310
Excerpt: ... The little circles represent small local lightcones. Notice that a photon emitted towards the center of the black hole will travel to the center of the black hole (or at least to rB ). A photon emitted away from the center of the black hole will escape the black hole if it is emitted at r > rS = 2M. However, such photons are pulled towards r = 0 if they are emitted at r < rS . Therefore, any light emitted at r < rS will not escape the black hole and therefore cannot be seen by an observer located at r > rS . Thus the name black hole. Similarly, an observer outside of the black hole cannot see any events that occur in r rS and the sphere r = rS is called the event horizon of the black hole. Note. Notice the worldline of a particle which falls into the black hole. If it periodically releases a ash of light, then the outside observer will see the time between the ashes taking a longer and longer amount of time. There will therefore be a gravitational redshift of photons emitted near r = rS (r > r ...
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Fluorescence
Caltech, APH 162
Excerpt: ... APh 162 - Fluorescence what is it? It is quite simple. A molecule absorbs a photon and emits a photon of lower energy. A photon excites an electron in the singlet ground state to a higher electronic singlet excited state (10-15 sec) where it relaxes ...
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Problem Set 4 Answer Key
Michigan State University, CEM 141
Excerpt: ... much to cold to go for a swim, so the owner of pool decides to turn the heat of the pool up to 25oC. The fuel used as the heating source is propane (how fortuitous). Calculate how many grams of propane are needed to heat the pool up to the desired temperature. (Specific Heat of water = 4.184 J/g K). (Hint: use the heat of reaction you calculated in the previous problem) (7 ft x 10 ft x 3 ft)(12 in/1ft)3(2.54 cm/1in)3 = 5946537 grams Q = (5946537g)(4.184J/gK)(13.5K) Q = 335884240 J 335884240 J/ 710000 J = 473 moles of C3H8 = 20,815 grams Calculate the frequency (Hz) and wavelength (nm) of the emitted photon when an electron drops from the n=4 to the n=2 level in a hydrogen atom. (Use the formulas provided to you in your lecture notes.) Frequency = 6.17e14Hz Wavelength = 486 nm Same as on Problem Set 4.1 An electron in the hydrogen atom makes a transition from a higher energy state of principal quantum numbers ni to the n = 2 state. If the photon emitted has a wavelength of 434 nm, what is the value of ni ...
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PHYS3220Homework1Latest
Colorado, PHYS 3220
Excerpt: ... mpute (x), where (x) dx = Probability that the mass observed at a randomly-chosen instant of time will be found between x and x+dx . B) Sketch the function ( x). 2 of 2 4. Correspondence principle A) Consider the classical model of an electron in circular orbit of radius r around a 1 k Z e2 nucleus of charge +Ze. Show that the frequency of motion is given by f = . 2 m r 3 1 (Here, k = is the constant in Coulomb's law.) 4 0 B) Show that, according to the Bohr model, this same formula gives the frequency of a photon emitted in a transition between adjacent states with quantum numbers n and n-1, in the limit that n is very large. This is an example of the Correspondence Principle, which states that any quantum mechanical calculation must agree with the corresponding classical calculation "in the classical limit" large quantum number in this case. 5. The graph show a pure real wavefunction (x) vs. x. The wavefunction is not normalized. A) If (x) is multiplied a constant C, the new wavefunction (x) =C (x ...
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p3223_25
Southern Oregon, P 3223
Excerpt: ... Physics 3223 Lecture 25 November 5, 1999 1 Hund's Rule For the different combinations of L and S for a given single-electron configuration, how do we determine which is the lowest energy state, the ground state? Hund's rule give the recipe: 1. Fir ...
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Class_30_270
Maryland, PHYS 270
Excerpt: ... PHYS 270-SPRING 2009 Dennis Papadopoulos LECTURE # 30 HYDROGEN ATOM PARTICLE DOUBLE-SLIT PROBABILITY APRIL 20, 2009 1 Fcentripetal 2 me v0 2 = = me0 r r L = me vr = nh n = 1,2,3. h = h /2p an integer number of wavelengths fits into the circular orbit n = 2r where Photons p=h/c= h/ h = p is the de Broglie wavelength The Bohr Hydrogen Atom The radius of the electrons orbit in Bohrs hydrogen atom is where aB is the Bohr radius, defined as The possible electron speeds and energies are The Hydrogen Spectrum According to the fifth assumption of Bohrs model of atomic quantization, the frequency of the photon emitted in an n m transition is The corresponding wavelengths in the hydrogen spectrum are then We said earlier that Bohr was mostly rightso where did he go wrong? Faile to account for why som d e spe ctral line arestronge than s r othe (To de rm transition rs. te ine probabilitie you ne d QUANTUM s, e MECHANI C !) Auugh! S Tre an e ctron likea m ats l ...
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handout_Lect_7_Xray_Fluorescence
Washington, CHEM 410
Excerpt: ... Chemistry 410 Lecture 7 Fluorescence Excitation Analysis This is another type of activation analysis except now the irradiation and detection process happen at the sample time. Whenever there is an inner shell vacancy in an atom, the electrons adjust ...
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Lecture21
Syracuse, PHY 102
Excerpt: ... Major Concepts in Physics Lecture 21. Prof Simon Catterall Office 309 Physics, x 5978 smc@physics.syr.edu http:/physics/courses/PHY102.08Spring PHY102 1 Announcements Exam 3 Monday April 14 in class Material: everything since exam 2. eg temperatu ...
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lecture24
University of Illinois, Urbana Champaign, PHYS 102
Excerpt: ... m) 2 2 mke Z Z Transitions + Energy Conservation Each orbit has a specific energy: En= -13.6 Z2/n2 Photon emitted when electron jumps from high energy to low energy orbit. Photon absorbed when electron jumps from low energy to high energy: E2 E1 = h f = h c / JAVA E2 E1 25 Line Spectra In addition to the continuous blackbody spectrum, elements emit a discrete set of wavelengths which show up as lines in a diffraction grating. This is how neon signs work! n=3 Better yet. n=1 10 Wavelengths can be predicted! ACT/Preflight 24.3 Electron A falls from energy level n=2 to energy level n=1 (ground state), causing a photon to be emitted. Electron B falls from energy level n=3 to energy level n=1 (ground state), causing a photon to be emitted. Which photon has more energy? 24% 76% Photon A Photon B A B n=3 n=2 n=1 27 Spectral Line Wavelengths Calculate the wavelength of photon emitted when an electron in the hydrogen atom drops from the n=2 state to the ground state (n=1). Z E n = -13 .6 ...
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phys3170_lec03
Allan Hancock College, PHYS 3170
Excerpt: ... PHYS3170 Molecular Spectroscopy Component Lecture 3 Time Resolved Fluorescence Lecture 3 Content Introduction why do we need time resolved measurements? Basic meaning of "lifetime" or "decay time" population statistics Dr. Paul Meredith Physics ...
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