Learning Materials
Features
Discover
Chapter 33: Q. 31 (page 956)
Moving mirror of a Michelson interferometer a distance of causesbright-dark-bright fringe shifts. What is the wavelength of the light?
Wavelength of the light is
Over 30 million students worldwide already upgrade their learning with Vaia!
All the tools & learning materials you need for study success - in one app.
Get started for free
A 600 line/mm diffraction grating is in an empty aquarium tank. The index of refraction of the glass walls is . A helium-neon laser is outside the aquarium. The laser beam passes through the glass wall and illuminates the diffraction grating.
a. What is the first-order diffraction angle of the laser beam?
b. What is the first-order diffraction angle of the laser beam after the aquarium is filled with water ?
A 4.0-cm-wide diffraction grating has 2000 slits. It is illuminated by light of wavelength . What are the angles (in degrees) of the first two diffraction orders?
FIGURE Q33.5 shows the light intensity on a viewing screen behind a single slit of width a The light's wavelength is. Is, or is it not possible to tell? Explain
To illustrate one of the ideas of holography in a simple way, consider a diffraction grating with slit spacing . The small-angle approximation is usually not valid for diffraction gratings, because is only slightly larger than , but assume that the ratio of this grating is small enough to make the small-angle approximation valid.
a. Use the small-angle approximation to find an expression for the fringe spacing on a screen at distance behind the grating.
b. Rather than a screen, suppose you place a piece of film at distance behind the grating. The bright fringes will expose the film, but the dark spaces in between will leave the film unexposed. After being developed, the film will be a series of alternating light and dark stripes. What if you were to now “play” the film by using it as a diffraction grating? In other words, what happens if you shine the same laser through the film and look at the film’s diffraction pattern on a screen at the same distance ? Demonstrate that the film’s diffraction pattern is a reproduction of the original diffraction grating
Find an expression for the positions of the first-order fringes of a diffraction grating if the line spacing is large enough for the small-angle approximation to be valid. Your expression should be in terms of and.
. Use your expression from part a to find an expression for the separationon the screen of two fringes that differ in wavelength by.
Rather than a viewing screen, modern spectrometers use detectors-similar to the one in your digital camera-that are divided into pixels. Consider a spectrometer with a grating and a detector with located behind the grating. The resolution of a spectrometer is the smallest wavelength separation that can be measured reliably. What is the resolution of this spectrometer for wavelengths near localid="1649156925210" , in the center of the visible spectrum? You can assume that the fringe due to one specific wavelength is narrow enough to illuminate only one column of pixels.
What do you think about this solution?
We value your feedback to improve our textbook solutions.
Explanations 
Textbooks 
Exams 
GCSE 
IGCSE 
AS 
A Level 
International A Level 
University Admissions Tests 
Flashcards 
Vaia AI 
Notes 
Study Plans 
Study Sets 
Find a job 
Find a degree 
Student Deals 
Magazine 
Mobile App