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Unformatted text preview: Howard (clh2528) homework #4 shubeita (57885) 1 This printout should have 14 questions. Multiplechoice questions may continue on the next column or page find all choices before answering. 001 10.0 points Is diffraction more pronounced through a small or a large opening? 1. small correct 2. It depends on the frequency of the light. 3. large Explanation: Diffraction is more pronounced through a small opening. 002 10.0 points Light from a HeNe laser of wavelength 635 . 1 nm is incident on a single slit. What is the minimum width for which no diffraction minima are observed? Correct answer: 635 . 1 nm. Explanation: Given : = 635 . 1 nm . The first minimum is at a sin = . This equation has no solution if a > 1. Hence the minimum width of the single slit for which no diffraction minima are observed is a min = = 635 . 1 nm . 003 (part 1 of 2) 10.0 points Consider the setup of a single slit experiment. The wavelength of the incident light is . The slit width and the distance between the slit and the screen is specified in the figure. y 1 L a S 1 S 2 viewing screen Find the position y = y 1 of the first inten sity minimum. Use a small angle approxima tion; e.g. , sin = tan . 1. y 1 = 2 a L 2. y 1 = 2 L a 3. y 1 = a L 4. y 1 = a L 2 5. y 1 = a 2 L 6. y 1 = a L 7. y 1 = L a correct 8. y 1 = 2 a L 9. y 1 = L 2 a Explanation: a sin a bracketleftBig y L bracketrightBig For single slit diffraction, destructive in terference occurs when, a 2 sin = 2 , or sim ply when, a sin = . Thus, between the two end rays which correspond to the first minimum, the phase angle difference is 1 = 2 and the path length difference is 1 = . The small angle approximation gives us y 1 L = tan 1 1 sin 1 = 1 a , or y 1 = 1 a L = L a . 004 (part 2 of 2) 10.0 points Howard (clh2528) homework #4 shubeita (57885) 2 Denote the intensity on the screen at y 2 by I 2 and the intensity on the screen at y = 0 by I . Let the fist dark fringe fall at y 1 , and let R = y 2 y 1 . y 2 L a S 1 S 2 viewing screen Find the intensity ratio I 2 I . 1. I 2 I = bracketleftbigg sin( y 2 / 2 ) y 2 / 2 bracketrightbigg 2 2. I 2 I = bracketleftbigg sin( R L/y 2 ) R L/y 2 bracketrightbigg 2 3. I 2 I = bracketleftbigg sin( R y 2 / 2 ) R y 2 / 2 bracketrightbigg 2 4. I 2 I = bracketleftbigg sin( R y 2 /L ) R y 2 /L bracketrightbigg 2 5. I 2 I = bracketleftbigg sin( R ) R bracketrightbigg 2 correct 6. I 2 I = bracketleftbigg sin( R 2 /y 2 ) R 2 /y 2 bracketrightbigg 2 7....
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