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Chapter 35: Q7P (page 1074)
The speed of yellow Light (from a sodium lamp) in a certain liquid is measured to be . What is the index of refraction of this liquid for the Light?
The index of refraction of the liquid is
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Find the slit separation of a double-slit arrangement that will produce interference fringesapart on a distant screen when the light has wavelength.
In a double-slit experiment, the distance between slits is and the slits are from the screen. Two interference patterns can be seen on the screen: one due to light of wavelength , and the other due to light of wavelength . What is the separation on the screen between the third-order bright fringes of the two interference patterns?
A thin film, with a thickness ofand with air on both sides, is illuminated with a beam of white light. The beam is perpendicular to the film and consists of the full range of wavelengths for the visible spectrum. In the light reflected by the film, light with a wavelength ofundergoes fully constructive interference. At what wavelength does the reflected light undergo fully destructive interference? (Hint: You must make a reasonable assumption about the index of refraction.
Figure 35-22 shows two light rays that are initially exactly in phase and that reflect from several glass surfaces. Neglect the slight slant in the path of the light inthe second arrangement.
(a) What is the path length difference of the rays?
In wavelengths,
(b) what should that path length difference equal if the rays are to be exactly out of phase when they emerge, and
(c) what is the smallest value of that will allow that final phase difference?
In Fig. 35-39, two isotropic point sources S1 and S2 emit light in phase at wavelength and at the same amplitude. The sources are separated by distance . They lie on an axis that is parallel to an x axis, which runs along a viewing screen at distance . The origin lies on the perpendicular bisector between the sources. The figure shows two rays reaching point P on the screen, at position. (a) At what value of do the rays have the minimum possible phase difference? (b) What multiple of gives that minimum phase difference? (c) At what value ofdo the rays have the maximum possible phase difference? What multiple of gives (d) that maximum phase difference and (e) the phase difference when ? (f) When , is the resulting intensity at point P maximum, minimum, intermediate but closer to maximum, or intermediate but closer to minimum?
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