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Unformatted text preview: arango (da2356) – HW03 – markert – (58710) 1 This printout should have 18 questions. Multiplechoice 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. λ << d. 2. d λ → ∞ . 3. d λ → . correct 4. λ = d. 5. λ d → . Explanation: Solution Diffraction is most noticeable when d λ → 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 θ ) = parenleftbigg m + 1 2 parenrightbigg λ, m = 0 , ± 1 , ± 2 , ··· Given: d = 0 . 380 mm θ = 0 . 0818 ◦ m = 0 Solution: λ = d (sin θ ) 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 doubleslit interference, λ = 389 nm, θ = 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 : θ = 0 . 886 ◦ and d = 0 . 167 mm . Δ x = d sin θ = (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 : λ = 389 nm Δ x = n λ n = Δ x λ = . 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 Δ x = mλ , m = 0 , ± 1 , ± 2 , ··· and the condition for minima is Δ x = parenleftbigg m + 1 2 parenrightbigg λ , m = 0 , ± 1 , ± 2 , ··· . Δ x = 6 . 63836 λ , so the interference corre sponds to a intermediate....
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 Spring '07
 KOPP
 Light, Wavelength, 0.000113 m, 0.000143 m, 0.00075 m, 0.623634 m

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