The wavelengths of the visible spectrum range from about 400 nm (purple) to 700 nm (red). Find the angular width of the first-order visible spectrum created by a diffraction grating with 300 lines per millimeter when white light falls on the grating normally.

Francisco Proctor 2022-07-21 Answered
The wavelengths of the visible spectrum range from about 400 nm (purple) to 700 nm (red). Find the angular width of the first-order visible spectrum created by a diffraction grating with 300 lines per millimeter when white light falls on the grating normally. Please answer in degrees.
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Answers (1)

ab8s1k28q
Answered 2022-07-22 Author has 17 answers
Solution distance between lines is (d)= 1   m m 300   l i n e s = 3.33 × 10 6   m
Violet light for first order occurs at = sin 1 ( 4 × 10 7 3.33 × 10 6 )
= 6.9
Red light for first order occurs at= sin 1 ( 7 × 10 7 3.33 × 10 6 )
= 12.1
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