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Unformatted text preview: Golshani (ag5873) Homework 03 Yao (57045) 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 A screen is illuminated by monochromatic light whose wave length is , as shown. The distance from the slits to the screen is L . y L d S 1 S 2 viewing screen At the sixth dark fringe on the screen (po sition y on the screen), (the corresponding path length difference) and (the phase angle difference) is given by 1. = 5 2 and = 5 2. = 9 2 and = 9 3. = 4 and = 8 4. = 6 and = 12 5. = 11 2 and = 11 correct 6. = 7 and = 14 7. = 2 and = 4 8. = 13 2 and = 13 9. = 3 2 and = 3 10. = 7 2 and = 7 Explanation: For dark fringes = d sin = parenleftbigg m + 1 2 parenrightbigg , where m = 0 , 1 , 2 , 3 , so for the sixth dark fringe ( m = 5), = parenleftbigg m + 1 2 parenrightbigg = 11 2 and = 2 = 11 2 = 11 . 002 10.0 points A double slit arrangement produces an inter ference fringe for yellow sodium light. To produce narrowerspaced fringes, should red light or blue light be used? 1. Red 2. Blue correct 3. Either Explanation: Blue light has a shorter wavelength than both yellow and red light and will produce narrowerspaced fringes. 003 10.0 points A screen is illuminated by monochromatic light as shown in the figure below. The distance from the slits to the screen is 3 m . 1 . 5cm 3 m . 56mm S 1 S 2 viewing screen What is the wave length if the distance from the central bright region to the sixth dark fringe is 1 . 5 cm . Correct answer: 509 . 085 nm. Explanation: Golshani (ag5873) Homework 03 Yao (57045) 2 Basic Concepts: For bright fringes, we have d sin = m , and for dark fringes, we have d sin = parenleftbigg m + 1 2 parenrightbigg , where m = 0 , 1 , 2 , 3 , . From geometry, we have y = L tan . Let : y = 1 . 5 cm = 0 . 015 m , L = 3 m , and d = 0 . 56 mm = 0 . 00056 m ....
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This note was uploaded on 09/27/2010 for the course PHY 58650 taught by Professor Yao during the Fall '10 term at University of Texas.
 Fall '10
 YAO

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