Question

Diffraction gratings are usually described not by the separation between adjacent lines but by the number of lines per centimeter. What is the maximum number of lines per centimeter a diffraction grating can have and produce a complete first-order spectrum for visible light? Assume visible light has a range of 400 nm to 700 nm.

Name: diffraction gratings are usually described not by the separation between adjacent lines but by the number of lines per centimeter what is the maximum number of lines per centimeter a diffrac 81793
Uploaded: 2022-07-21T10:53:06-08:00
Duration: 4 min 37 s
Channel: Prabhu Ramji
Description: diffraction gratings are usually described not by the separation between adjacent lines but by the number of lines per centimeter what is the maximum number of lines per centimeter a diffrac 81793

          Diffraction gratings are usually described not by the separation between adjacent lines but by the number of lines per centimeter.
What is the maximum number of lines per centimeter a diffraction grating can have and produce a complete first-order spectrum for visible light? Assume visible light has a range of 400 nm to 700 nm.

Added by Cynthia W.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Prabhu Ramji

07/21/2022

Step 1

Given: Minimum wavelength, λ = 400 nm = 400 x 10^-9 m Using the formula n = 1/d, where d is the line spacing: n = 1 / λ n = 1 / (400 x 10^-9) n = 2.5 x 10^6 lines per meter Converting to lines per centimeter: n = 2.5 x 10^4 lines per centimeter Show more…

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Diffraction gratings are usually described not by the separation between adjacent lines but by the number of lines per centimeter. What is the maximum number of lines per centimeter a diffraction grating can have and produce a complete first-order spectrum for visible light? Assume visible light has a range of 400 nm to 700 nm.