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Chapter 35: Q27P (page 1075)
A thin flake of mica (n = 1.58) is used to cover one slit of a double-slit interference arrangement. The central point on the viewing screen is now occupied by what had been the seventh bright side fringe (m = 7). If , what is the thickness of the mica?
The thickness of mica is .
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In Fig. 35-45, two microscope slides touch at one end and are separated at the other end. When light of wavelength 500 nm shines vertically down on the slides, an overhead observer sees an interference pattern on the slides with the dark fringes separated by 1.2 mm. What is the angle between the slides?
Does the spacing between fringes in a two-slit interference pattern increase, decrease, or stay the same if
(a) the slit separation is increased,
(b) the color of the light is switched from red to blue, and
(c) the whole apparatus is submerged in cooking sherry?
(d) If the slits are illuminated with white light, then at any side maximum, does the blue component or the red component peak closer to the central maximum?
In Fig. 35-35, two light rays go through different paths by reflecting from the various flat surfaces shown.The light waves have a wavelength of 420.0 nm and are initially in phase. What are the (a) smallest and (b) second smallest value of distance L that will put the waves exactly out of phase as they emerge from the region?
Figure 35-27a shows the cross-section of a vertical thin film whose width increases downward because gravitation causes slumping. Figure 35-27b is a face-on view of the film, showing four bright (red) interference fringes that result when the film is illuminated with a perpendicular beam of red light. Points in the cross section corresponding to the bright fringes are labeled. In terms of the wavelength of the light inside the film, what is the difference in film thickness between (a) points a and b and (b) points b and d?
Figure 35-40 shows two isotropic point sources of light (and ) that emit in phase at wavelength 400 nm and at the same amplitude. A detection point P is shown on an x-axis that extends through source . The phase difference between the light arriving at point P from the two sources is to be measured as P is moved along the x axis from out to .The results out to are given in Fig. 35-41. On the way out to , what is the greatest value of x at which the light arriving at from is exactly out of phase with the light arriving at P from ?
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