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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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Light of wavelength passes though two slits separated by and is observed on a screen behind the slits. The location of the central maximum is marked on the screen and labeled
a. At what distance, on either side of , are the bright fringes?
b. A very thin piece of glass is then placed in one slit. Because light travels slower in glass than in air, the wave passing through the glass is delayed by in comparison to the wave going through the other slit. What fraction of the period of the light wave is this delay?
c. With the glass in place, what is the phase difference between the two waves as they leave the slits?
d. The glass causes the interference fringe pattern on the screen to shift sideways. Which way does the central maximum move (toward or away from the slit with the glass) and by how far?
White lightincident on a diffraction grating produces rainbows of diffracted light. What is the width of the first-order rainbow on a screen 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?
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
FIGURE shows light of wavelength incident at angle on a reflection grating of spacing . We want to find the angles um at which constructive interference occurs.
a. The figure shows paths and along which two waves travel and interfere. Find an expression for the path-length difference .3
b. Using your result from part a, find an equation (analogous to Equation localid="1650299740348" for the angles localid="1650299747450" at which diffraction occurs when the light is incident at angle localid="1650299754268" . Notice that m can be a negative integer in your expression, indicating that path localid="1650299766020" is shorter than path localid="1650299773517" .
c. Show that the zeroth-order diffraction is simply a 鈥渞eflection.鈥� That is, localid="1650299781268"
d. Light of wavelength 500 nm is incident at localid="1650299787850" on a reflection grating having localid="1650299794954" reflection lines/mm. Find all angles localid="1650299802944" at which light is diffracted. Negative values of localid="1650299812949"
are interpreted as an angle left of the vertical.
e. Draw a picture showing a single localid="1650299823499" light ray incident at localid="1650299833529" and showing all the diffracted waves at the correct angles.
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