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# General Physics PHY 007C

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This 52 page Class Notes was uploaded by Horace McClure on Tuesday September 8, 2015. The Class Notes belongs to PHY 007C at University of California - Davis taught by Staff in Fall. Since its upload, it has received 105 views. For similar materials see /class/191840/phy-007c-university-of-california-davis in Physics 2 at University of California - Davis.

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Date Created: 09/08/15

Chapter 1 Physical constants Memorizing these constants is not doing physics They are provided for your convenience7 but we will give you values for constants on quizzes and nals You should memorize the SI unit conventions7 and should know the approximate values Fundamental constants Quantity Symbol alue Speed of light c X 10 ms Gravitational constant G 6 67 X 1011 Nm2kg2 Planck s constant h 104 1 J s 414 gtlt11T15 ev s olo b s constant k 9 X 109 N m2c2 Permeability ofthe vacuum no 4 107 N 2C2 Avagadro number NA 6 023 X 1023 atomsmole Boltzmann s constant hp 10 StephaneBoltzmann constant 0 5 67 X 108 W m 2 Proton charge a 1 602 x 10 19 C Matter Optlcs DH t 1 h 1 h d t f t d a a i eren co ours ave si i eren re rac ive in ices This tacie has accccxinafe vayines ice the visicie spectrum exact values will depend on the exact material and f e quencygt Approx1mate values gures give you a Tough idea of how big various quane tites are such as the welledepth ofthe LennardeJones potene tial Exact values depend on the system being considered Material Ume Vacuum 1 o exact Quantity Approx alue ir 00 ze Of atom N1 1m 31A Glaatsrcrown 150 162 well d pt 20 013 J 10 6V Glass Hint 157 a 175 Ionization energy 1o 710 J 01710 ev Silicon 3 5 Mass of an atom 1027 71025 kg 17 200 amu Germanium 4 O Visible light Diamond 2 42 frequency 6 X 1014 Hz 7 ye 1 33 E a X 1019 J 2 ev Eve lens 141 Physics 7C Fall 2002 DL 111 Overview T inielz39ne Equipment 10 minute intervals elapsed time 1 10 Administrativa TA station 00 10 web browser 1110 Introductory Remarks Overhead 0020 0050 0100 0130 0140 0210 0220 E a a 1111 Oscillatory Motion SG tasks WC discussion 1112 SHM and Hooke s Law SG tasks WC discussion 1113 SHM Equation SG tasks WC discussion Eacb station Spring Weight sets 100 g to 10 kg Support bracket Pasco box Ibook Overhead Eacb station Spring Weight sets Support bracket Meter stick Overhead Spring Weights set Support bracket Pasco box Ibook Overhead Activity 110 Administra tiva Take roll mainly such that students know that they are in the right room for the right course Before DL actually starts is a good time to put up this information quotPhysics 7C DL section i TB 114quot along with your name your office hours and email contact information Do not let this eat up too much time It is okay to start the next activity right away once the majority of the students have arrived and deal individually with the few stragglers come in late be understanding this is their first DL of the new quarter Deal Witb tbe actual online enrollment administrative tasks alter DL bas finishedit is probably more better for you and tbe students if you don t lia ve to deal Witli tbis during instruction tiine Follow the latest add and drop guidelines discussed in the TA meeting Print out a hard copy for your own records 25Sep02 DL 11 1 Physics 7C Fall 2002 DL 11 1 Activity 1111 Oscilla toryMoZion Concepts I Oscillatory motion is a repetitive periodic motion I The motion is a displacement from an equ ibrium position I Period T is the time to repeat a cycle notthe time to come back to the same nonmaximum position The period is independent of starting conditions The amplitude A corresponds to the maximum displacement from equilibrium This does depend on the starting conditions Graphing skills Labeling axes Reading meaningful information off graphs Simple Harmonic Motion SHM can be described with a sinusoidal function Yt Asin2 rct T Brie y show on a setup what parameters are associated with what on the massspring system and how to measure these parameters Make sure that the students understand the basic concept of how to measure the period of an SHM systemithe amount of time to repeat a cycle of SHM notthe time to come back to the same non maXimum position Measure multiple periods In the WC discussion have separate SGs demonstrate how they determined the dependence of the period on a given parameter and whether the period depends does not depend is proportional or inversely proportional to this parameter Some quotrealworldquot thinking questions you can use to prompt and guide your students Does the period of the massspring system depend on g Would the period be any different on the Moon or on the ISS But wouldn39t equilibrium point hang not as low at those places 25Sep02 Physics 7C Fall 2002 DL 11 1 Activitv Cvcle 1111 Oscillatorv Motion 30 minutes 1 Place a 200g mass on the end of your group s spring Observe the behavior of a massspring system once it is set into motion Vary the release height and initial impulse In one or two sentences on the board describe what you did to get the object to move Roughly describe what the resulting motion was like Start the oscillation by lifting the mass 10 cm and then releasing it Draw a graph on the board of the vertical displacement y as a function of time t Let y0 correspond to the equilibrium position Indicate on your graph the amplitude A and the period T Turn on the pasco box then turn on the computer Login as student Open the DLl 1A folder and click on activity 11A1 Start the oscillator as in step 2 To acquire data pull down the experiment menu and click on record After acquiring a nice plot press pause and then draw a neWplot on the board of the motion as a function of time Indicate the amplitude on your plot Write a one or two sentences explaining what it means and upon what it depends Indicate the period Explain what it means and upon what it depends What mathematical function has a similar behavior as the plot that you graphed in part 3 Write an equation for the height as a function of time and indicate all variables In physics 7C we will use radians in our sine functions so write your equation such that when t equals one period then the quantity inside the parenthesis of the sine function is equal to 275 25Sep02 Physics 7C Fall 2002 DL 11 1 Actt39w39ty 1112 SHM and Hooke s La W Concepts I The force is restorative Using static forces we can determine the spring constant Using the spring constant and Newton s 2quotd law we can determine acceleration The position of an SHM system can be expressed using a generalized sine function I The y V and a of an SHM system are related via differential expressions The yand a of an SHM system are related via Hooke39s Law Combining all of these we can relate the mass and spring constant to the period How do you characterize simple harmonic motion How do the graphs connect to the actual motion of the objects How do the equations for the oscillations connect to the graphs This activity should answer these questions Spend some time going through the answers after the groups have put their results on the board Make sure that they scale the maximumminimum values of each graph W A O t L l Fl 3 Al o gt N x A N f Answers 2 a 0 although not a given choice II IV b I III 3 a I III b 0 although not a given choice II IV 4 a 0 although not a given choice II IV b I III Be sure to make the connections between the position the velocity and the acceleration graphs and expressions and of course the force via Hooke39s Law Start with Newton39s Second Law and not Hooke39s Law which is what they are trying to prove Then 2F ma but a cx iyfrom the kinematic graphsequations thus 2F iky which is Hooke39s Law 25Sep02 Physics 7C Fall 2002 DL 11 1 Activity 1112 SHM and Hooke s Law The most general form of the equation that describes any object undergoing SHlVI simple harmonic motion is given by yl Asin2TmB Recall that how the chain rule and derivatives of harmonic functions sines and cosines work Asin 3 BA cospz A cos l BA sinl The velocity and acceleration of SW objects are just derivatives with respect to time tof the yt position vryo arvrj yr 25Sep02 Physics 7C Fall 2002 DL 11 1 Activity 1112 SHM and Hooke s Law 30 minutes 1 Consider the static case of a mass on a spring Draw on the board a free body force diagram of the mass on the end of the spring Indicate all forces that are acting upon the mass Write a force equation ZFW 111a Recall that for a spring F 1y where kis the spring constant Try slightly displacing your mass from its equilibrium position Observe the direction of the force Do this for both directions Write on the board a general statement about the direction of the restoring force with respect to the displacement Is this true for all oscillating systems Determine kfor your spring by measuring the static displacement of 45 different masses using a meter stick Draw on the board a plot of displacement vs mass and from this plot determine k Now consider the dynamical oscillating case and recall Newton s second law F 11151 Write an equation for the relationship between the acceleration a and the displacement yt Take the derivative of t with respect to t in order to find vt Now take the derivative of vt with respect to t in order to find at Go to activity llAZ on the computer and acquire yt Vt and a graphs Draw these on the board Do they agree with your expectations How does the equation for a from part 3 compare to the equation in part 4 Can use these equations to determine an equation for the period Do you get the correct value 25Sep02 Physics 7C Fall 2002 1 DL 11 1 Use your expressions for yt v0 A W and at to complete the vt and at 0 t graphs at right note that here w A I II N O Scale the maximum and minimum values for vt and at on the vertical axes of their graphs fva 7 fl i n m t39v 7 At what times I 11 111 IV is the Hf ObleCt3 0 Ii Ill li a momentarily located at the l equilibrium point b momentarily located furthest from the equilibrium point At what times I II III IV is the object a momentarily stationary b moving at its maximum speed At what times I II III IV is the motion of the object a momentarily steady a O or AV O b changing a 7E O or AV 7E O Does the net force 2F on this object quotobeyquot Hooke39s Law that is force 0C displacement Clearly explain your reasoning using the graphs above andor your expressions for yt vt and at 25Sep02 Physics 7C Fall 2002 DL 11 1 Activity 1112 SHM and Hooke39s Law Hooke s La W39 Anyforce that tries to quotrestore itselfquot 1quot e proportional to displacement towards equilibrium is said to obey Hooke SLa W Most generally quotrestoringquot F k some distance Q We does the negative szgn 13912 Hooke s La wmeah If the net force on an object quotobeysquot Hooke39s Law then the object must undergo SHlVI Hooke39s Law SHlVI 2F gt ya 0 If an object is undergoing SHM then its net force must quotobeyquot Hooke39s Law Hooke39s Law SHlVI 2F lt ya a ct139v139ty the forward Hooke S La W gt SHM Sta temeht or the re verse Hooke S La W lt SEA0 Sta temeh t a Witch of these two Sta temehts did you prove 112 this 25Sep02 Physics 7C Fall 2002 DL 11 1 Activity 1112 SHM periods o A mass on a spring is a system undergoes that undergoes simple harmonic motion SHM it will freely oscillate up and down Mss spring parameters 0 Mass kg gt1 u16uens Buuds Spring strength kNm l Amplitude A maximum distance i period m of oscillation mgvss 0T Gravitational constant g Nkg ggi ttzt ggal G quotConstant phasequot I related to where you start timing the cycle the moment as it goes down through 0 When it is at its lowest point 0 The period T of a mass39 oscillation time s to repeat one cycle of motion m L2H 25Sep02 Physics 7C Fall 2002 DL 11 1 Activity 1113 SHM E qua lion Concepts The position of an object undergoing SHM motion can be described by yt Asin p B Avoiding the use of the word quotoriginquot What physicists mean by quotoriginquot y 0 is often different than some students39 colloquial use of quotoriginquot whatever the initial value of yis at t 0 ie where y quotoriginatesquot from This is the students39 introduction to graphreading and the SHM equation of motion Let them deduce all the values and units for themselves This activity sets the foundation for the ever more intricate harmonic wave function they will discuss later in this Block Students need to make sure tlieir calculators are in radians mode Many students may not have ever used the trigonometric functions on their calculators Ask each group to demonstrate their SHM system with a changed parameter in addition to explaining how their how their t graph changes as a result Doubling the mass mwill increase the period by sqrt2 Doubling the spring constant is tricky Try adding two springs in parallel Period is reduced by sqrt2 Doubling the amplitude Awill only change the vertical scale of the graph Doubling the constant phase offset 4 from 1t2 to 11 will mean that the mass will start at the equilibrium position at t 0 s which means it needs to be pushed down to get it started instead of starting from its maximum displacement angle at t 0 s So during tlie Wliole class discussion make sure students can lla ct out tlie motion of tlieir mass spring systems for ea cli of tliese parameter clianges as well as understanding liowtlieir SHMgraplis cliange It is Important for students to see tlie relations between a yt grapli and tlie motion it represents especially Witli regard to tlie initial starting position at t 0 25Sep02 Physics 7C Fall 2002 DL 11 1 Activity 1113 SHM Equation The most general form of the equation that describes any object undergoing SHlVI simple harmonic motion is given by yl Asin2TmB Constant phase w N w 2 7QVQVQTgt1 Amplitude A 0 yt smaIIA yt w 0 61 6W1 ya large A yo w 2 039 5 Simple harmonic motion 2 11 l Displacement yas a yt Asin T w B function of time Period T l Equilibrium value B yt smallT 0 t yt large T yt B 0 039 l 51 yt B lt 0 6 1 25Sep02 Physics 7C Fall 2002 DL 11 1 Activity 1113 SHM Equation 30 minutes Consider the speci c case of a m 02 kg mass on your spring 1 Acquire a plot of the Value Units vertical position and draw a A it on the board What are T the values and units of c these SHlVI parameters B For the following situations 25 in which the physical parameters are changed rst draw a plot of your expected vertical displacement versus time then acquire a plot and draw a new curve in a new color on the same time graph Scale rescale your axes as necessary Be prepared to demonstrate the motions 2 The amplitude Ais halved 3 The mass mis doubled 4 The parameter I is doubled 5 The spring constant kis doubled 25Sep02 Physics 7C Fall 2002 DL 11 1 Activity 1113 SHM Equation quotDra wing a scaled and labeled y t graph ups Once all your SHlVI parameters are known it is easier to draw a sine curve rst be re scaling your axes with just period T intervals and halfintervals 9 283 A NS 204 9 28 I A I t 2001 W 08 W S 0 Even if all your SHM parameters are known drawing a sine curve after scaling your axes is more dif cult try this 9 20 04 quotquotquot39quotquot39395tlsl 25Sep02 PhVSics 70 Fall 2002 DL 11 14 Do these exithandout assignments as homework as they Will be discussed in the next DL 112 Your TA Will cheek off your individual Work at the start ofDL 112 and zen you Will discuss your answers as a group before presenang it on the chalkboards It is important that you at least attempt zese exit handout assignments as your DL grade Will depend greatly on your individual par cmau39on What you have done as homework and your group perhaps tion What you present an the ehallcboards Learning Goals from Activity 1111 I Oscillatory motion is a repetitive periodic motion I The motion is a displacement from an equzlibruun position I Period T is the time to repeat a cycle notthe time to come back to the same nonmaximum position The period is independent of starting conditions The amplitude A corresponds to the maximum displacement from equilibrium This does depend on the starting conditions I Graphing skills Labeling axes Reading meaningful information off graphs I Simple Harmonic Motion SHM can be described with a sinusoidal function I Yt Asin21ttT 4 B Learning Goals from Activity 1112 I The force is restorative I Using static forces we can determine the spring constant d Using the spring constant and Newton s 2quot law we can determine acceleration I The position of an SHM system can be expressed using a generalized sine function I The y V and a of an SHM system are related via differential expressions I The yand a of an SHM system are related via Hooke39s Law I Combining all of these we can relate the mass and spring constant to the period T sqrtmk Learning Goals from Activity 1113 I The position of an object undergoing SHM motion can be described by Yt Asin21ttT 4 B I Avoiding the use of the word quot origin quot What physicists mean by quotoriginquot y 0 is often different than some students39 colloquial use of quotoriginquot whatever the initial value of yis at t 0 i e where yquotoriginates from I More graphreading and the SHM equation of motion I Who sure your calculators are in radians mode I Doubling the mass 127 will increase the period by sqrt2 Doubling the spring constant is tricky Period is reduced by sqrt2 Doubling the amplitude Awill only change the vertical scale of the graph I Doubling the constant phase offset from 1t2 to 1 will mean that the mass will start at the equilibrium position at t 0 s which means it needs to be pushed down to get it started instead of starting from its maximum displacement angle at t 0 5 Reading Assignment Buy the Physics 7C Notes and QPs from the Navins and read Block 11 Announcements The quiz about 35 minutes long on Block 11 material will be given in lecture on October 7 020925 PbVSics 7C Fa112002 DL 11 N V L V 020925 15 The rotational inertia of a ring hanging from its edge is l l2 mD2 where D is the diameter of the ring average of inner and outer diameters of the real rings a Draw an extended force diagram showing the forces acting on the ring when it by an angle 9 from its equilibrium position Choose the point of support of the ring as the axis of rotation to calculate torques about Calculate the net torque as a function of the sine Make the small angle approximation for sine Substitute your expressions for the net torque and 1 into the angular expression of Newton s 2nd Law 2 E l V A bowling ball that is cut in half and set on the round side will oscillate from side to side if it is displaced slightly Why How could you use a pendulum to accurately measure the force of gravity Would this work on the moon What would the length of a pendulum be on the Earth that gives a period of 2 s What would the length of a pendulum be on the Moon that gives a period of 2 s Derive an expression for the velocity of the pendulum bob the angular velocity of the ring and the vertical velocity of the mass on the spring This is a total of six equations PbVSI39cs 7C Fa112002 DL 11 16 Optional eXer01565401ut10ns are given below A 020 kg pendulum swings with no air resistance nor friction from its highest point 1 to point 2 where it hits a barrier and then swings onwards onto its highest point 3 Circle the most correct answer below then brie y explain your answer I The time for the pendulum to swing from point 1 to point 2 takes longer than the time for the pendulum to swing from point 2 to point 3 II The time for the pendulum to swing from point 1 to point 2 takes the same amount of time for the pendulum to swing from point 2 to point 3 III The time for the pendulum to swing from point 1 to point 2 takes shorter than the time for the pendulum to swing from point 2 to point 3 2 Astronauts on the surface of the Moon set up a pendulum with a string that is 05 m long They time the period of one oscillation to be 348 sec What is the gravitational constant g M00quot 3 How long should a pendulum string be in order to make a T 1 sec quotcuckooquot clock How long should a pendulum string be in order to make a T 2 sec quotgrandfatherquot clock 4 What causes the quotrestoring forcequot for a simple pendulum Rope tension force of the ceiling on the pendulum bob II Radial component of the gravitational force of the Earth on the pendulum bob III Tangential component of the gravitational force of the Earth on the pendulum bob IV Rope tension force of the pendulum bob on the ceiling V None of the above 5 Consider two identically constructed mass spring systems System quotAquot has four times the total energy of system quotBquot What can be concluded about the simple harmonic motion of these systems I The frequency of system quotAquot is 400 greater than system quotBquot II The frequency of system quotAquot is 200 greater than system quotBquot III The amplitude of system quotAquot is 400 greater than system quotBquot IV The amplitude of system quotAquot is 200 greater than system quotBquot V There is not enough information is provided to conclude any of the above 6 Circle which one of the following three molecules will have the highest carboncarbon vibrational frequency then brie y explain your answer below taking into consideration all factors that affect the vibrational frequency of these carboncarbon bonds The spring strengths of the carboncarbon bonds are given below 1 H30 CH3 11 HZC CH 111 HC 5 CH 020925 17 PbVSI39cs 7C Fa112002 DL 111 k450 k930 k1590 Nm Nm Wm H H H i H H IC 39 IC H CL C H C C H I I H H H H 7 Write down the equation which describes the simple harmonic motion of a 02 kg mass on a spring with a stiffness k 80 Nm that starts at t 0 s its motion at its maximum positive displacement of 03 m 020925 PbVSI39cs 7C Fa112002 DL 11 18 Write the equations describing the position of these SHM objects as functions of time given the graphs 8 10 below EXerczlse solutions The correct answer is I ng 163 m s2 For the clock with a 1 second period L 025 In For the clock with a 2 second period L 099 In Compare these to the actual physical sizes of cuckoo and grandfather clocks The correct answer is 111 The correct answer is IV The correct answer is 111 yt 03 ashl yt 02 msin 623 yt 04 msin 4 5nj yt 02 alkalig 3 02 m 020925 PhVSics 7C Fa11200239 DL 11 19 Announcements Get the Physics 7C Block notes in their entirety from the Physics 7C web page httpphysics7ucdavisedu for free or purchase them from Navin s Copy Shop or photocopy them from the Reserve Desk at Shields Library The rst day of lecture will be on Thursday October 4 in Roessler 66 Practice Quiz 1 will be given during lecture on Thursday October 4 and will cover the material in Block 1 It will be a portion of an actual Physics 7C Quiz given in a previous quarter While the Practice Quiz does not count towards your course grade it is strong ysuggested that you studyfor it and use the Practice Quiz as an inclass diagnostic tool to gauge your understanding of the material co vered so far in Block 1 020925 Waves and Optics John Mahoney Physics Department Complexity Sciences Center UC Davis August 14 2008 122 Quiz 2 2 5 I it Interferenn Eighties Quiz 2 Quiz 2 l Fill out all info including section not TA name or points Standin Waves will be deducted 25 tlnterference I Remember the Lecture Prep Quiz is only 15 of 25 of your Optics grade I You will need to use the back for the last question please redraw l Diagram for 4 on the board I Hats off phones silent I Don t cheat 322 Quiz 2 Standing Waves What do standing waves look like Moving or not Reflection types Standing waves in music 2 Slit Interference OEtics 422 What do standing waves look like Quiz 2 0 1 Standing Waves What do standing waves look like 12 Moving or not Reflection types Standing waves in music 13 2 Slit Interference 14 17 522 Quiz 2 Standing Waves What do standing waves look like Reflection types Standing waves in music 2 Slit Interference OEtics Moving or not Standing waves are made of similar waves traveling in opposite directions 2 gifs 622 Reflection types Quiz2 The type of reflection depends on the interface between media m Whatd 5t3 d39 g l A soft reflection is one that does not change the phase waves look like Moving or not constant Reflection types Standing waves in music M 2pm 722 Reflection types Qum The type of reflection depends on the interface between media Standing Waves Whatd 5t3 d39 g l A soft reflection is one that does not change the phase waves look like Moving or not constant l A hard reflection IS one that changes the phase constant by Standing waves in music 7T 2 Slit Interference Optics 722 Quiz 2 Standing Waves What do standing waves look like Moving or not Reflection types Standing waves in music 2 Slit Interference Optics Reflection types The type of reflection depends on the interface between media A soft reflection is one that does not change the phase constant A hard reflection is one that changes the phase constant by 7r The type can also be thought of in terms of free or fixed end points 722 Quiz 2 Standing Waves What do standing waves look like Moving or not Reflection types Standing waves in music 2 Slit Interference Optics Standing waves in music The physics of standing waves tells us how to design musical instruments l Resonance string demo I Harmonics l TuningBeats speaker demo 822 4 clicker questions IE EtiEs Quiz Standint W 2 Slit Interference The Basic Idea Put it all together QEtiCLs 2Slit Interference The Basic Idea Quiz2 l The waves emanating from the two slits are often in phase M with each other 2 Slit Interference The Basic Idea dsz n0 Put it all together OEtics 1122 The Basic Idea Qum l The waves emanating from the two slits are often in phase M with each other 2 Slit Interference l The waves emanating from the two sllts almost always have dsmw the same frequency Put it all together OEtics 1122 Quiz 2 Standing Waves 2 Slit Interference The Basic Idea dsz n0 Put it all together OEtics The Basic Idea l The waves emanating from the two slits are often in phase with each other I The waves emanating from the two slits almost always have the same frequency I This means that path length difference is the only contributor to the total phase difference Al 1122 Quiz 2 Standing Waves 2 Slit Interference The Basic Idea dsz n0 Put it all together OEtics The Basic Idea l The waves emanating from the two slits are often in phase with each other I The waves emanating from the two slits almost always have the same frequency I This means that path length difference is the only contributor to the total phase difference Al I lf277r131 132 n27r 1122 Quiz 2 Standing Waves 2 Slit Interference The Basic Idea dsz n0 Put it all together OEtics The Basic Idea l The waves emanating from the two slits are often in phase with each other I The waves emanating from the two slits almost always have the same frequency I This means that path length difference is the only contributor to the total phase difference Al I lf277r131 132 n27r or equivalently131 132 71A 1122 Quiz 2 Standing Waves 2 Slit Interference The Basic Idea dsz n0 Put it all together Optics The Basic Idea l The waves emanating from the two slits are often in phase with each other I The waves emanating from the two slits almost always have the same frequency I This means that path length difference is the only contributor to the total phase difference Al I lf277r131 132 n27r or equivalently131 132 7M gt Constructive l Different places on the screen have different path length differences Some will have constructive interference and some not 1122 dsz39n9 Q iz2 dsin6 is an approximation for the path length difference MM 131 22 in the 2 slit interference setup 2 Slit Interference The Basic Idea Put it all together Optics 1222 klMe dsz39n9 IS an approXImatIon for the path length difference x1 7 2 In the Zesllt Interference setup smamgst ntevfevente B f m 1222 Put it all together Quiz2 dsmw N 31 x2 nA gt Constructive Standing Waves 2 Slit Interference The Basic Idea dsz n0 Put it all together OEtics 1322 Put it all together Quiz2 dsmw N 31 x2 nA gt Constructive m dsin6 2 TM gt Constructive 2 Slit Interference The Basic Idea dsz n0 Put it all together OEtics 1322 Quiz 2 Standing Waves 2 Slit Interference The Basic Idea dsz n0 Put it all together OEtics Put it all together dsin6 N 731 732 nA gt Constructive dsin6 2 nA gt Constructive Similarly dsin6 2 n A gt Destructive 1322 2 clicker questions llt Interf renn A Th a Basie leasea d ss n39 Put it all tggether I Qgtics I Quiz Standint 2 5 I it Interferenne Optics Reflection bounce r72 br nd an th way thmughquot What GOI GF is I s 39inach O Reflection bounce back Quiz2 Law of Reflection Standing Waves 2 Slit Interference OEtics Reflection bounce 6177 607115 back39 Refraction bend 61 62 on the way through39 What color is spinach Know how to define the normal 6m and 60m flowers 1 flowers 2 flowers 3 earth 1622 Refraction bend on the way through Qum Law of Refraction Snell s Law m 2 Slit Interference OEtics Reflection bounce n182n61 n287 n62 back39 on the way through39 What color is spinach flowers 1 flowers 2 flowers 3 earth 1722 What color is spinach Quiz2 What color is spinach W What color are flowers 2 Slit Interference What color is the Sun What color is the Earth OEtics Reflection bounce back39 Refraction bend on the way through39 What color is spinach flowers 1 flowers 2 flowers 3 earth 1822 flowers 1 Quiz 2 Standing Waves ZSIit Interference O tics Reflection 7 bounce back39 Refraction 7 bend on the way through39 What color is spinach7 1922 Quiz 2 Standing Waves ZrSht Interference Btu Reflection r bounce back39 Refraction r bend on the way through39 What color IS splnach7 flowers 1 ll flowers 3 flowers 2 2022 flowers 3 Quiz 2 Standing Waves ZrSht Interference 02th Reflection r bounce back39 Refraction r bend on the way through39 What color IS splnach7 flowers 1 flowers 2 earth 2122 Quiz 2 Standing Waves ZSIit Interference O tics Reflection 7 bounce back39 Refraction 7 bend flowers 3 rth earth Channel Aunm Airgmw Dmmaga Piume ngdemsald Shoulder 2222

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