Two wavelengths A and A + AA (with AA << A) are incidenton a diffraction grating. Show that the angular separationbetween the spectral lines in the mth-order spectrum isAAV(d/ m): – x²where dis the slit spacing and m is the order number.

Answered: Image /qna-images/answer/b5e7d8ed-8ddf-462c-abc7-daf2fdd88d9d.jpg

Answered: Two wavelengths A and A + AA (with AA…

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter4: Diffraction

Section: Chapter Questions

Problem 23P: Consider a single-slit diffraction pattern for =589 nm, projected on a screen that is 1.00 m from a...

See similar textbooks

Similar questions

For a three-slit interference pattern, find the ratio of the peak intensities of a secondary maximum to a principal maximum.
Suppose that the highest order fringe that can be observed is the eighth in a double-slit experiment where 550-nm wavelength light is used. What is the minimum separation of the slits?
In our study of diffraction by a single slit, we assume that the length of the slit is much larger than the width. What happens to the diffraction pattern if these two dimensions were comparable?
The structure of the NaCl crystal forms reflecting planes 0.541 nm apart. What is the smallest angle, measured from these planes, at which X-ray diffraction can be observed, if X-rays of wavelength 0.085 nm are used?
(a) Sodium vapor light averaging 589 nm in wavelength falls on a single slit of width 7.50 m. At what angle does it produces its second minimum? (b) What is the highest-order minimum produced?
A diffraction grating has 2000 lines per centimeter. At what angle will the first-order maximum be for 520-nmwavelength green light?
What is the highest-order maximum for 400-nm light falling on double slits separated by 25.0 m?
Using the result of the preceding problem, (a) calculate the distance between fringes for 633-nm light falling on double slits separated by 0.0800 mm, located 3.00 m from a screen. (b) What would be the distance between fringes if the entire apparatus were submersed in water, whose index of refraction is 1.33?
When a monochromatic light of wavelength 430 nm incident on a double slit of slit separation 5 m, there are 11 interference fringes in its central maximum. How many interference fringes will be in the central maximum of a light of wavelength 632.8 nm for the same double slit?
An inventor notices that a soap bubble is dark at its thinnest and realizes that destructive interference is taking place for all wavelengths. How could she use this knowledge to make a nonreflective coating for lenses that is effective at all wavelengths? That is, what limits would there be on the index of refraction and thickness of the coating? How might this be impractical?
A first-order Bragg reflection maximum is observed when a monochromatic X-ray falls on a crystal at a 32.3° angle to a reflecting plane. What is the wavelength of this X-ray?
Structures on a bird feather act like a reflection grating having 8000 lines per centimeter. What is the angle of the first-order maximum for 600-nm light?

SEE MORE QUESTIONS

Recommended textbooks for you

University Physics Volume 3

Physics

ISBN:

9781938168185

Author:

William Moebs, Jeff Sanny

Publisher:

OpenStax

Physics for Scientists and Engineers: Foundations…

Physics

ISBN:

9781133939146

Author:

Katz, Debora M.

Publisher:

Cengage Learning

University Physics Volume 3

Physics

ISBN:

9781938168185

Author:

William Moebs, Jeff Sanny

Publisher:

OpenStax

Physics for Scientists and Engineers: Foundations…

Physics

ISBN:

9781133939146

Author:

Katz, Debora M.

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS

Two wavelengths A and A + AA (with AA << A) are incident on a diffraction grating. Show that the angular separation between the spectral lines in the mth-order spectrum is AA V(d/ m): – x² where dis the slit spacing and m is the order number.