HW3_pdf - arango (da2356) HW03 markert (58710) 1 This...

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Unformatted text preview: arango (da2356) HW03 markert (58710) 1 This print-out should have 18 questions. Multiple-choice questions may continue on the next column or page find all choices before answering. 001 10.0 points Will the light from two very close stars pro- duce an interference pattern? 1. No; light from two very close stars is not likely to have the same frequency. correct 2. Yes; strong light from the two stars cre- ates very clear interference patterns. 3. Yes; if they are very close to each other, the light has large overlapping area. 4. No; the light is too strong to produce a discernable interference pattern. Explanation: Light from a pair of stars will not produce an interference pattern because the waves of light from the two separate sources have dif- ferent frequencies and thus are incoherent; when combined they smudge. Interference occurs when light from a single source divides and recombines. 002 10.0 points Diffraction is most noticeable when 1. << d. 2. d . 3. d . correct 4. = d. 5. d . Explanation: Solution Diffraction is most noticeable when d 003 10.0 points Light falls on two slits spaced 0.380 mm apart. The angle between the first dark fringe and the central maximum is 0 . 0818 . What is the wavelength of the light? Correct answer: 1085 . 04 nm. Explanation: Basic Concept: d (sin ) = parenleftbigg m + 1 2 parenrightbigg , m = 0 , 1 , 2 , Given: d = 0 . 380 mm = 0 . 0818 m = 0 Solution: = d (sin ) m + 1 2 = (0 . 38 mm)(sin 0 . 0818 ) . 5 1 m 1000 mm 10 9 nm 1 m = 1085 . 04 nm 004 (part 1 of 3) 10.0 points In an arrangement to demonstrate double-slit interference, = 389 nm, = 0 . 886 , and d = 0 . 167 mm. For light from the two slits interfering at this angle, what is the path difference in mil- limeters? Correct answer: 0 . 00258232 mm. Explanation: Let : = 0 . 886 and d = 0 . 167 mm . x = d sin = (0 . 167 mm) sin 0 . 886 = . 00258232 mm . 005 (part 2 of 3) 10.0 points arango (da2356) HW03 markert (58710) 2 The path difference represents how many wavelengths? Correct answer: 6 . 63836. Explanation: Let : = 389 nm x = n n = x = . 00258232 mm 389 nm 10 6 nm 1 mm = 6 . 63836 . 006 (part 3 of 3) 10.0 points Will the interference correspond to a maxi- mum, a minimum, or an intermediate condi- tion? 1. minimum 2. intermediate correct 3. None of these 4. Unable to determine 5. maximum Explanation: The condition for maxima is x = m , m = 0 , 1 , 2 , and the condition for minima is x = parenleftbigg m + 1 2 parenrightbigg , m = 0 , 1 , 2 , . x = 6 . 63836 , so the interference corre- sponds to a intermediate....
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HW3_pdf - arango (da2356) HW03 markert (58710) 1 This...

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