6 nm if light from a sodium lamp fully illuminates a

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Unformatted text preview: nes the width of the peaks (narrower peaks easier to resolve). δθ ≈ λ/Nd Resolving power of an N-slit grating: The Rayleigh criterion Lecture 4, p 15 Diffraction Grating Example Angular splitting of the Sodium doublet: Consider the two closely spaced spectral (yellow) lines of sodium (Na), λ1 = 589 nm and λ2 = 589.6 nm. If light from a sodium lamp fully illuminates a diffraction grating with 4000 slits/cm, what is the angular separation of these two lines in the second-order (m=2) spectrum? Hint: First find the slit spacing d from the number of slits per centimeter. Lecture 4, p 16 Solution Angular splitting of the Sodium doublet: Consider the two closely spaced spectral (yellow) lines of sodium (Na), λ1 = 589 nm and λ2 = 589.6 nm. If light from a sodium lamp fully illuminates a diffraction grating with 4000 slits/cm, what is the angular separation of these two lines in the second-order (m=2) spectrum? Hint: First find the slit spacing d from the number of slits per centimeter. 1cm d= = 2.5 × 10−4 cm = 2.5 µ m 4000 ⎛ྎ λ1 ⎞ྏ θ1 = sin ⎜ྎ m ⎟ྏ =...
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This note was uploaded on 03/27/2014 for the course PHYS 214 taught by Professor Staff during the Spring '08 term at University of Illinois, Urbana Champaign.

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