Find the angle for the third-order maximum for 589 nm wavelength light falling on a diffraction grating having 1480 lines per centimeter.

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter36: Applications Of The Wave Model
Section: Chapter Questions
Problem 32PQ
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Find the angle for the third-order maximum for 589 nm wavelength light falling on a diffraction grating having 1480 lines per centimeter.
°

Expert Solution
Step 1

Given, the angle θ for the third-order (m=3) maximum for λ=589 nm wavelength light falling on a diffraction grating having N=1480 lines per centimetre.

d=1N=slit widthd=11480 1cm=11480 1cm×100 cm1 md=6.756×10-6 m
Diffraction equation for maxima:

dsinθ=mλ6.756×10-6 msinθ=3589×10-9 msinθ=0.2615θ=15.16°

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