A diffraction grating with n = 2.5E-05 lines/nm is used to separate two colors of light. The angle between their first maxima is Δθ ≡ θ1 - θ2 = 0.12 degrees, and the first light has wavelength λ1 = 530 nm. Part (a)  Find θ1 using n and λ1 in radians.  Part (b)  Find θ2  Part (c)  Find the value of the wavelength of the second color λ2 in nm.

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter38: Refraction And Images Formed By Refraction
Section: Chapter Questions
Problem 30PQ
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   A diffraction grating with n = 2.5E-05 lines/nm is used to separate two colors of light. The angle between their first maxima is Δθ ≡ θ1 - θ2 = 0.12 degrees, and the first light has wavelength λ1 = 530 nm.

Part (a)  Find θ1 using n and λ1 in radians. 

Part (b)  Find θ2

 Part (c)  Find the value of the wavelength of the second color λ2 in nm. 

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