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Unformatted text preview: Create assignment, 00224, Homework 11, Apr 22 at 7:14 am 1 This print-out should have 14 questions. Multiple-choice questions may continue on the next column or page find all choices before answering. The due time is Central time. Bright Band Separation 37:02, trigonometry, numeric, > 1 min, nor- mal. 001 Two slits are illuminated by a 340 nm light. The angle between the zeroth-order bright band at the center of the screen and the fourth-order bright band is 13 . If the screen is 130 cm from the double-slit, how far apart is this bright band from the central peak? Correct answer: 30 . 0129 cm. Explanation: Basic Concept: y = L tan . Solution: y = L tan = (130 cm) tan(13 ) = 30 . 0129 cm . 002 What is the distance between the two slits? Correct answer: 0 . 00604576 mm. Explanation: Basic Concept: d sin = m Solution: The fourth-order bright band oc- curs when m = 4; therefore, d = m sin = 4 (340 nm) sin(13 ) = 0 . 00604576 mm . keywords: First Order Bright Line 37:02, trigonometry, numeric, > 1 min, nor- mal. 003 Light falls on a pair of slits 0 . 0019 cm apart. The slits are 80 cm from the screen. The first- order bright line is 1 . 9 cm from the central bright line. What is the wavelength of the light? Correct answer: 451 . 25 nm. Explanation: For double slit interference, x L = d so that = xd L Dimensional analysis of : cm cm cm 1 m 10 2 cm 10 9 nm 1 m = nm keywords: Screen Distance 37:02, trigonometry, numeric, > 1 min, nor- mal. 004 Light of wavelength 442 nm passes through a double-slit system that has a slit separation of 0 . 4 mm. How far away must a screen be placed in or- der for the first dark fringe to appear directly opposite both slits? Correct answer: 0 . 361991 m. Explanation: For the dark band y dark = L ( m + 1 / 2) d Since the two dark bands are just opposite the slits, then y = d/ 2, and m = 0, so L = 2 yd = d 2 = (0 . 001 m / mm) 2 (0 . 4 mm) 2 (442 nm)(1 10- 9 m / nm) = 0 . 361991 m Create assignment, 00224, Homework 11, Apr 22 at 7:14 am 2 keywords: Youngs Interference Method 03 37:02, trigonometry, numeric, > 1 min, nor- mal....
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