![Physics](https://www.bartleby.com/isbn_cover_images/9781260486919/9781260486919_largeCoverImage.gif)
Concept explainers
(a)
The number of orders of lines that can be seen with the grating.
(a)
![Check Mark](/static/check-mark.png)
Answer to Problem 45P
The number of orders of lines that can be seen with the grating is
Explanation of Solution
Given that the width of the grating is
Write the expression for the slit width of the grating.
Here,
Write the expression for the diffraction maxima using grating.
Here,
Deduce the number of orders that can be seen, from equation (II).
The maximum number of orders is obtained for
Conclusion:
Substitute
Substitute
Since
Therefore, the number of orders of lines that can be seen with the grating is
(b)
The angular separation
(b)
![Check Mark](/static/check-mark.png)
Answer to Problem 45P
The angular separation
Explanation of Solution
Given that the width of the grating is
Solve equation (II) for
The angles corresponding to each wavelengths for each orders can be computed and their difference gives the angular separation.
Conclusion:
The value of
Substitute
Substitute
Substitute
Substitute
Substitute
Substitute
Compute the angular separation for each orders.
Therefore, the angular separation
(c)
The order of the spectrum which best resolves the two lines.
(c)
![Check Mark](/static/check-mark.png)
Answer to Problem 45P
The third order spectrum best resolves the two lines.
Explanation of Solution
The angular separation for different orders of the spectrum are obtained as
The higher resolution corresponds to larger angular separation in the diffraction process. Among the obtained values of the angular separations, the third order spectrum has the largest angular separation. Thus, the two lines are best resolved in the third-order spectrum.
Conclusion:
Therefore, the third order spectrum best resolves the two lines.
Want to see more full solutions like this?
Chapter 25 Solutions
Physics
- What is the period of a rock of mass 2.0kg tied to the end of a spring 0.625m long string that hangs in a doorway and has an elastic constant of 40N/m?arrow_forwardGive an example of friction speeding up an object.arrow_forwardWhich is the higher temperature? (Assume temperatures to be exact numbers.) (a) 272°C or 272°F? 272°C 272°F They are the same temperature. (b) 200°C or 368°F? 200°C 368°F They are the same temperature.arrow_forward
- What is the direction of a force vector given by ~v = −6Nˆi − 8Nˆj?arrow_forwardWhat can be said of the position vector of an object far from any influences on its motion?arrow_forward་ Consider a ball sliding down a ramp as shown above. The ball is already in motion at the position 1. Which direction best approximates the direction of acceleration vector a when the object is at position 2?arrow_forward
- College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningUniversity Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSONIntroduction To Quantum MechanicsPhysicsISBN:9781107189638Author:Griffiths, David J., Schroeter, Darrell F.Publisher:Cambridge University Press
- Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningLecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-WesleyCollege Physics: A Strategic Approach (4th Editio...PhysicsISBN:9780134609034Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart FieldPublisher:PEARSON
![Text book image](https://www.bartleby.com/isbn_cover_images/9781305952300/9781305952300_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9780133969290/9780133969290_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9781107189638/9781107189638_smallCoverImage.jpg)
![Text book image](https://www.bartleby.com/isbn_cover_images/9781337553278/9781337553278_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9780321820464/9780321820464_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9780134609034/9780134609034_smallCoverImage.gif)