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Chapter 33: Q. 2 (page 954)
Two narrow slits apart are illuminated with light of wavelength localid="1649170764860" . What is the angle of thelocalid="1649170756737" bright fringe in radianslocalid="1649170769758" In degreeslocalid="1649170772775"
The Angle of bright fringe in radian is,in degrees .
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Two wide slits spaced apart are illuminated by blue laser light with a wavelength of . The interference pattern is observed on a screen behind the slits. How many bright fringes are seen in the central maximum that spans the distance between the first missing order on one side and the first missing order on the other side?
shows the interference pattern on a screen behind an diffraction grating. What is the wavelength (in ) of the light?
Light from a helium-neon laser illuminates a circular aperture. It is noted that the diameter of the central maximum on a screen behind the aperture matches the diameter of the geometric image. What is the aperture's diameter (in mm)?
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 ?
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 鈥減lay鈥� 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鈥檚 diffraction pattern on a screen at the same distance ? Demonstrate that the film鈥檚 diffraction pattern is a reproduction of the original diffraction grating
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