The spacing of ruled lines or

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17th Edition
ISBN:9781938168185
Author:William Moebs, Jeff Sanny
Publisher:William Moebs, Jeff Sanny
Chapter4: Diffraction
Section: Chapter Questions
Problem 46P: An electric current through hydrogen gas produces several distinct wavelengths of visible light....
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Ignore work done
m = 3
The spacing of ruled lines on a diffraction grating is 1830 rum. The grating is illuminated at normal incidence
with a parallel beam of white light in the 400 nm to 700 nm wavelength band. The second order spectrum and
the third order spectrum overlap. The angular width of the overlap is closest to:
m = 2
A) 6.9°
B) 8.9°
C) 4.9*
D) 5.9
1830mm
1830
λ = 400am-700mm..!
m=2
& m = 3
overlap
Sing, = ma
d
smallest
↓
›
↓
d₂ton = X Spois
Sino₂-sin, = (3-2)
biggest
d
22.489-12.6
The pupil of a cat's eye narrows to a slit of width 0.5 mm in daylight. Assuming a wavelength
10 m)
of 500 nm, what is the angular resolution? (1 nm =
500 x 10
distance
between
-9
1-3m
E) 7.9
1
1830×10-9
Transcribed Image Text:m = 3 The spacing of ruled lines on a diffraction grating is 1830 rum. The grating is illuminated at normal incidence with a parallel beam of white light in the 400 nm to 700 nm wavelength band. The second order spectrum and the third order spectrum overlap. The angular width of the overlap is closest to: m = 2 A) 6.9° B) 8.9° C) 4.9* D) 5.9 1830mm 1830 λ = 400am-700mm..! m=2 & m = 3 overlap Sing, = ma d smallest ↓ › ↓ d₂ton = X Spois Sino₂-sin, = (3-2) biggest d 22.489-12.6 The pupil of a cat's eye narrows to a slit of width 0.5 mm in daylight. Assuming a wavelength 10 m) of 500 nm, what is the angular resolution? (1 nm = 500 x 10 distance between -9 1-3m E) 7.9 1 1830×10-9
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