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# Physics III PH 113

Jalon Willms
RHIT
GPA 3.69

Renat Letfullin

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COURSE
PROF.
Renat Letfullin
TYPE
Class Notes
PAGES
33
WORDS
KARMA
25 ?

## Popular in Physics 2

This 33 page Class Notes was uploaded by Jalon Willms on Monday October 19, 2015. The Class Notes belongs to PH 113 at Rose-Hulman Institute of Technology taught by Renat Letfullin in Fall. Since its upload, it has received 10 views. For similar materials see /class/225113/ph-113-rose-hulman-institute-of-technology in Physics 2 at Rose-Hulman Institute of Technology.

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Date Created: 10/19/15
Chapter 36 Diffraction Gratings Resolving Power Physics 113 Dr Remat Letf ullin Today Diffraction of the light Single Slit Diffraction Diffraction from Circular Aperture Diffraction Gratings Resolving Power Help Session for the Test 3 Physics 102 Lecture 20 Slide 2 Single Slit Diffraction Jr J y la Without diffraction b With diffraction Physics 113 Dr Renat Letfullin Diffraction Rays Wall shadow b ght This is not what is actually seen Screen with opening or obstacle without Lecture 20 Slide 4 Diffraction Huygens Every point on a wave front acts as a source of tiny wavelets that move forward Light waves originating at different points within opening travel different distances to wall and can interfere We will see maxima and minima on the wall Central maximum ii la Withuurl diffraction b With di raction Physics 113 Dr Renat Letfullin Single Slit Diffraction w w x 36m 9 When rays 1 and 1 interfere destructively Rays 2 and 239 also start W2 apart and have the same path length difference Under this condition every ray originating in top half of slit interferes destructiver with the corresponding ray originating in bottom half 1s t39 minimum at sin 9 Mw Physics 102 Lecture 20 Slide 7 Single Slit Diffraction w 0 1 When 45quot 2 rays1 and 1 will interfere destructively Rays 2 and 239 also start w4 apart and have the same path length difference Under this condition every ray originating in top quarter of slit interferes destructiver with the corresponding ray originating in second quarter 2nCI minimum at sin 9 2Mw Physics 102 Lecture 20 Slide 8 Single Slit Diffraction Summary Condition for halves of slit to destructiver interfere sin l9 A w Condition for ouarters of slit to 31116 2 destructiver Interfere w Condition for sixths of slit to destructiver interfere X All together sm 9 m m1 2 3 W THIS FORMULA LOCATES MINIMA Narrower slit gt broader pattern Physics 113 Dr Renat Letfullin Note interference only occurs when w gt A Light from a HeNe laser 7t 633 nm passes through a narrow slit and is seen on a screen 20 m behind the slit The rst minimum in the di raction pattern is 12 cm from the central How wide is the slit 132th10 20836010 Light passes through a 012mm wide slit and forms a di raction pattern on a screen 10 m behind the slit The width of the central maximum is 085 cm What is the wavelength of the light Physics I02 W230 Slide Diffraction from Circular Aperture 13 t diffraction Central minimum maximum x 9 x Diameter D o O light First diffraction minimum is at Physics 113 Dr Renat Letfullin Diffraction from Circular Aperturef 15 t diffraction 7 Central minimum 39 maximum 9 x x s DiameterD 0 light First diffraction minimum is at sin 0 122 Physics 113 Dr Renat Letfullin Intensity from Circular Aerture sin z Conceptual question A laser is shone at a screen through a very small hole If you make the hole even smaller the spot on the screen will get 1 Larger 2 Smaller Which drawing correctly depicts the pattern of light on the screen 7 1 23 Physics 113 Dr Renat Letfullin Conceptual question A laser is shone at a screen through a very small hole If you make the hole even smaller the Spot on the screen will get 2 Smaller Which drawing correctly depicts th o attern of light on the screen 1 Physics 113 Dr Renat Letfullin Light from a HeNe laser 7L 633 nm passes through a 05mm diameter hole How far away should a viewing screen be placed to observe a diffraction pattern whose central maximum is 30 mm in diameter PhysicslE Diffraction Grating A Peak location For many slits maxima are still at sin 9 m depends on d wavelength Region between maxima gets suppressed more and more as no of slits increases bright fringes become narrower and brighter 2 slits N2 1o slits N10 intensity intensity Physics 113 Dr Renat Letfullin Diffraction Grating N slits with spacing d screen VERY far away Constructive Interference Maxima are at Same as for Young s L Double Slit Phy51cs 113 Dr Renat Letfulhn diffraction grating having 1000 slits per millimeter The interference pattern is viewed on a screen 10 m behind the grating Two bright yellow fringes are visible 7288 cm and 730 cm from the central What are the wavelength of these two fringes Resolving Power Intensities Two objects are just resolved when the maximum of one is at the minimum of the other Resolving Power To see two objects distinctly need Oobjects gtgt 0min 9 objects Subjects is angle between objects and aperture m 9min tan 0objects z 0min is minimum angular separation that aperture can resolve sin 9min z 9min 122 MD Improve resolution by increasing 90mcts or decreasing 9min Physics 113 Dr Renat Letfullin Conceptual question Astronaut Joe is standing on a distant planet with binary suns He wants to see them but knows it s dangerous to look straight at them So he decides to build a pinhole camera by poking a hole in a card Light from both suns shines through the 39hole onto a second card But when the camera is built Astronaut Joe can only see one spot on the second card To see the two suns clearly should he make the pinhole larger or smaller Physics 113 Dr Renat Letfullin Conceptual question want 0objects gt 0min Decrease em 1 22M D Increase D Astronaut Joe is standing on a distant planet with binary suns He wants to see them but knows it s dangerous to look straight at them So he decides to build a pinhole camera by poking a hole in a card Light from both suns shines through the hole onto a second card But when the camera is built Astronaut Joe can only see one spot on the second card To see the two suns clearly should he make the pinhsmaller Physics 113 Dr Renat Letfullin Recap Interference Coherent waves Full wavelength difference Constructive 12 wavelength difference Destructive Multiple Slits knmuudhm dsh 9n1k 0nL23 r Destructive d sin9 m 12 7 2 Slit only More slits brighter max darker mins Huygens Principle Each point on wave front acts as coherent source and can interfere Single Slit Destructive w sin9 m 7 ml23 Resolution Max from 1 at Min from 2 Physics 113 Dr Renat Letfullin ppos e Review Session Exam 3 Em waves de nition Energy and Intensity of the em wave Polarization of the em wave Malus Law Interference of the em waves Double slit Yang s interference Diffraction on a slithole 0 Diffraction grating Physics 102 Lecture 20 Slide 26 Example 1 Em Wave Energy A HeNe laser emits 10mm diameter laser beam With a power of 10 mW What is the amplitude of the oscillating electric eld in the laser beam Physics 102 Lecture 20 Slide 27 Example 2 Polarization Only 25 of the intensity of a polarized light wave passes through a polarizer What is the angle between the electric eld and the axis of a polarizer tOZ mreMsrido 28 Example 3 Double slit interference TWO narrow slits 50 um apart are illuminated With light of wavelength 500 nm What is the angle of the 1n 2 bright fringe in degrees In radiance Physics 102 Lecture 20 Slide 29 Example 4 Diffraction on a Slit In a singleslit experiment the slit Width is 200 times the wavelength of the light What is the Width of the central maximum on a screen 20 m behind the slit Physics 102 Lecture 20 Slide 30 Example 5 Diffraction on a Hole Infrared light of wavelength 25 pm illuminates a 02mm diameter hole What is the angle of the first dark fringe in radiance In degrees Physics 102 Lecture 20 Slide 31 Example 6 Diffraction grating Example A laser beam is incident on a 15 gtltlO4 groove per inch diffraction grating The wavelength of the light produced by the laser is 630 nm and the interference pattern is observed on a screen 20 m from the grating Determine the angular de ection of the rstorder bright fringe angular de ection angle of the secondorder bright fringe distance from the central maximum to the secondorder bright fringe Physics 102 Lecture 20 Slide 32 See you later Read Textbook Chapters 3233 polarization 35 36 Physics 113 Dr Renat Letfullin

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