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Unformatted text preview: terry (ect328) homework 41 Turner (59130) 1 This printout should have 11 questions. Multiplechoice questions may continue on the next column or page find all choices before answering. 001 10.0 points A heliumneon laser (wavelength 548 nm) is used to calibrate a diffraction grating. If the firstorder maximum occurs at 21 . 8 , what is the line spacing? Correct answer: 1 . 47563 10 6 m. Explanation: We use the formula d sin = m for m = 1, and obtain d = sin = 548 nm sin(21 . 8 ) = 548 nm . 371368 = 1 . 47563 10 6 m . 002 (part 1 of 2) 10.0 points A diffraction grating is 5 . 88 cm long and con tains 6270 lines per 0 . 881 cm interval. What is the resolving power of this grating in the third order? Correct answer: 1 . 25542 10 5 . Explanation: Let : L = 5 . 88 cm , N = 6270 lines , and a = 0 . 881 cm . The diffraction gratings line density is n = N a = (6270 lines) (0 . 881 cm) = 7116 . 91 lines / cm . Applying the formula for the resolving power R of the grating, R = N m = n L m, where m is the order of the diffraction, N = n L is the number of the illuminated lines of the diffraction grating, and L is the length of the diffraction grating, we obtain that for the third order ( m = 3) the resolving power R 3 of the grating is R 3 = n L m = (7116 . 91 lines / cm) (5 . 88 cm) (3) = 1 . 25542 10 5 ....
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 Fall '09
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