Suppose that you have a reflection diffraction grating with n= 105 lines per millimeter. Light from a sodium lamp passes through the grating and is diffracted onto a distant screen. Two visible lines in the sodium spectrum have wavelengths 498 nm and 569 nm. What is the angular separation Δθ of the first maxima of these spectral lines generated by this diffraction grating? How wide does this grating need to be to allow you to resolve the two lines 589.00 and 589.59 nanometers, which are a well known pair of lines for sodium, in the second order (m=2)?

University Physics Volume 3
17th Edition
ISBN:9781938168185
Author:William Moebs, Jeff Sanny
Publisher:William Moebs, Jeff Sanny
Chapter3: Interference
Section: Chapter Questions
Problem 63AP: A hydrogen gas discharge lamp emits visible light at four wavelengths, =410 , 434, 486, and 656 nm....
icon
Related questions
Question

Suppose that you have a reflection diffraction grating with n= 105 lines per millimeter. Light from a sodium lamp passes through the grating and is diffracted onto a distant screen.

Two visible lines in the sodium spectrum have wavelengths 498 nm and 569 nm. What is the angular separation Δθ of the first maxima of these spectral lines generated by this diffraction grating?

How wide does this grating need to be to allow you to resolve the two lines 589.00 and 589.59 nanometers, which are a well known pair of lines for sodium, in the second order (m=2)?

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 6 steps with 5 images

Blurred answer
Knowledge Booster
Diffraction of light
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
University Physics Volume 3
University Physics Volume 3
Physics
ISBN:
9781938168185
Author:
William Moebs, Jeff Sanny
Publisher:
OpenStax
Physics for Scientists and Engineers: Foundations…
Physics for Scientists and Engineers: Foundations…
Physics
ISBN:
9781133939146
Author:
Katz, Debora M.
Publisher:
Cengage Learning
Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
Physics
ISBN:
9781133104261
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Glencoe Physics: Principles and Problems, Student…
Glencoe Physics: Principles and Problems, Student…
Physics
ISBN:
9780078807213
Author:
Paul W. Zitzewitz
Publisher:
Glencoe/McGraw-Hill