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1. Go to the following web page: https://ophysics.com/15.html 2. Make sure the following options are configured: Show Maxima, Show Scale, and Show Wavefronts should all

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1. Go to the following web page: https://ophysics.com/15.html 2. Make sure the following options are configured: Show Maxima, Show Scale, and Show Wavefronts should all be selected Slit distance should be 3um and wavelength should be 400nm 3. Record the following parameters Double Slit Interference - 4 um Animate Pause Reset - 3 um Show Maxima Show Scale - 2 um Show Wavefronts - 1 um Slit Distance ( 1 - 3 um) 3 0 - 1 um Wavelength (400 - 700 nm) 400 - 2 um Show Interference Pattern - 3 um 4 um L = 10 um Slit to sensor distance, L = Marked Slit Distance, d = Wavelength, 1 =4. Sketch the interface pattern generated by this setup Double Slit Interference Animate Pause Reset Show Maxima Show Scale V Show Wavefronts Slit Distance ( 1 - 3 um) 3 d Wavelength (400 - 700 nm) 400 Show Interference Pattern L = 10 um 5. Record the location of the first two intensity maxima on both the left and right sides of the central point, and then average them. Report all numbers as positive m=1 Yleft= Yright = Yavg= m=2 Yleft= Yright= Yavg=m*.1*L y 6. Compute the slit separation, d = and compare this to your marked value. Do they agree? 7. Move the slit distance and the wavelength sliders around. What do you observe as the relation between blight spot location and these two quantities? Is this consistent with the equation: (1 = m*A*L 3' Double Slit Interference a 1 3W 1 l on '5' - . l Double Slit Interference 4 um Animate Pause Reset - 3 um Show Maxima Show Scale - 2 um V Show Wavefronts - 1 um Slit Distance ( 1 - 3 um) 1.95 - 0 d 1 um Wavelength (400 - 700 nm) 400 2 um Show Interference Pattern - 3 um = 10 um Double Slit Interference $ um Animate Pause Reset - 3 um Show Maxima Show Scale - 2 um V Show Wavefronts - 1 um Slit Distance ( 1 - 3 um) 3 0 d - 1 um Wavelength (400 - 700 nm) 620 - 2 um Show Interference Pattern - 3 um 4Hm (7 L = 10 umDouble Slit Interference 8. Go to the following webpage: httgs:[toghysicscomflehtm| 9. Configure the simulation with the following options: Check Grating in Place, set Lens to Grating Distance to 5m, set Grating lines per mm to 300 lines/mm, and set wavelength to 700nm. 10. In this section we will be studying how light is diffracted and spread out by a grating. This is governed by the equation: d * sin 0 1 = n Where / is the wavelength, d is the distance between slits, O is the angle of diffraction, and n is the order of the diffraction bright spot. Notice though that from the simulation we have no method to directly determine 0. Instead we will have to use trigonometry to determine sin 0. screen y = distance grating diffracted upward laser 10 = diffraction angle_ L = distance to screen Using the experimental diagram above, derive an equation for sin 0 in terms of the values we can measure experimentally. Show your work. sin 0 = 11. Now plug this equation into our above wavelength equation to get and expression only in terms of quantities we can measure. 1 =12. Record the following values below: ._ ._ . -J Grating in Place , , . . Lens to Grating Distance (310m} 5 rating lines per mm (200500) 300 Wavelength (400-700 nm) 700 Lens to grating distance r1 '4 Distance to screen, L = Marked wavelength, A = Grating lines per mm, 1/d = Distance between slits, d = 13. Sketch the diffraction pattern generated by this setup 14. Record the location of the first three diffraction maxima on both the left and right sides of the central point, and then average them. Report all numbers as positive. Also, note that the experiment is reporting values in meters. 15. Compute the wavelength for each of the three orders. Discuss if these results agree with the marked value. Be cautious of units

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