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Chapter 33: Q. 5 (page 955)
Light of wavelength illuminates two slits that areapart. FIGURE shows the intensity pattern seen on a screen behind the slits. What is the distance to the screen
The distance to the screen is.
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A helium-neon laser is built with a glass tube of inside diameter , as shown in FIGURE P33.62. One mirror is partially transmitting to allow the laser beam out. An electrical discharge in the tube causes it to glow like a neon light. From an optical perspective, the laser beam is a light wave that diffracts out through a -mm-diameter circular opening.
a. Can a laser beam be perfectly parallel, with no spreading? Why or why not?
b. The angle to the first minimum is called the divergence angle of a laser beam. What is the divergence angle of this laser beam?
c. What is the diameter (in mm) of the laser beam after it travels
d. What is the diameter of the laser beam after it travels ?
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
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.
A diffraction grating is illuminated by light of wavelength .How many bright fringes are seen on a -wide screen located behind the grating?
The two most prominent wavelengths in the light emitted by a hydrogen discharge lamp are (red) and (blue). Light from a hydrogen lamp illuminates a diffraction grating with , and the light is observed on a screen behind the grating. What is the distance between the first-order red and blue fringes?
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