Learning Materials
Features
Discover
Chapter 33: Q. 17 (page 955)
Light ofwavelength illuminates a single slit of width . FIGURE shows the intensity pattern seen on a screen behind the slit. What is the distance to the screen
Distance to the screen 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
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
A -diameter hole is illuminated by light of wavelength . What is the width (in mm) of the central maximum on a screen behind the slit?
Scientists use laser range-finding to measure the distance to the moon with great accuracy. A brief laser pulse is fired at the moon, then the time interval is measured until the "echo" is seen by a telescope. A laser beam spreads out as it travels because it diffracts through a circular exit as it leaves the laser. In order for the reflected light to be bright enough to detect, the laser spot on the moon must be no more than in diameter. Staying within this diameter is accomplished by using a special large diameter laser. If , what is the minimum diameter of the circular opening from which the laser beam emerges? The earth-moon distance is
shows the light intensity on a screen behind a double slit. The slit spacing is and the screen is behind the slits. What is the wavelength (in ) of the light?
A radar for tracking aircraft broadcasts a microwave beam from a -diameter circular radar antenna. From a wave perspective, the antenna is a circular aperture through which the microwaves diffract.
a. What is the diameter of the radar beam at a distance of ?
b. If the antenna emits of power, what is the average microwave intensity at ?
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