College Physics
College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
Bartleby Related Questions Icon

Related questions

bartleby

Concept explainers

Question
**Diffraction Grating and Spectral Components**

White light is spread out into its spectral components by a diffraction grating. If the grating has **1980** lines per centimeter, at what angle does red light of wavelength 640 nm appear in the first-order spectrum? (Assume that the light is incident normally on the grating.)

[Input box for answer] _____ °

---

**Explanation:**

Diffraction gratings separate light into its component wavelengths by exploiting the wave nature of light. In this scenario, you are asked to calculate the angle at which red light appears within the first-order spectrum. You can find this angle using the grating equation:

\[ d \sin(\theta) = m \lambda \]

where:
- \( d \) is the distance between the grating lines (1/1980 cm),
- \( \theta \) is the angle of diffraction,
- \( m \) is the order of the spectrum (first-order, \( m = 1 \) in this case),
- \( \lambda \) is the wavelength of the light (640 nm).

This exercise allows students to apply the principles of wave optics to determine how different wavelengths of light are diffracted through a grating.
expand button
Transcribed Image Text:**Diffraction Grating and Spectral Components** White light is spread out into its spectral components by a diffraction grating. If the grating has **1980** lines per centimeter, at what angle does red light of wavelength 640 nm appear in the first-order spectrum? (Assume that the light is incident normally on the grating.) [Input box for answer] _____ ° --- **Explanation:** Diffraction gratings separate light into its component wavelengths by exploiting the wave nature of light. In this scenario, you are asked to calculate the angle at which red light appears within the first-order spectrum. You can find this angle using the grating equation: \[ d \sin(\theta) = m \lambda \] where: - \( d \) is the distance between the grating lines (1/1980 cm), - \( \theta \) is the angle of diffraction, - \( m \) is the order of the spectrum (first-order, \( m = 1 \) in this case), - \( \lambda \) is the wavelength of the light (640 nm). This exercise allows students to apply the principles of wave optics to determine how different wavelengths of light are diffracted through a grating.
Expert Solution
Check Mark
Knowledge Booster
Background pattern image
Physics
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
Recommended textbooks for you
Text book image
College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
Text book image
University Physics (14th Edition)
Physics
ISBN:9780133969290
Author:Hugh D. Young, Roger A. Freedman
Publisher:PEARSON
Text book image
Introduction To Quantum Mechanics
Physics
ISBN:9781107189638
Author:Griffiths, David J., Schroeter, Darrell F.
Publisher:Cambridge University Press
Text book image
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Text book image
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:9780321820464
Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:Addison-Wesley
Text book image
College Physics: A Strategic Approach (4th Editio...
Physics
ISBN:9780134609034
Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:PEARSON