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Chapter 27: Q33CQ (page 995)
Explain what happens to the energy carried by light that it is dimmed by passing it through two crossed polarizing filters.
The intensity of the resulting beam diminishes as well.
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What type of experimental evidence indicates that light is a wave?
Suppose pure-wavelength light falls on a diffraction grating. What happens to the interference pattern if the same light falls on a grating that has more lines per centimeter? What happens to the interference pattern if a longer-wavelength light falls on the same grating? Explain how these two effects are consistent in terms of the relationship of wavelength to the distance between slits.
(a) As a soap bubble thins it becomes dark, because the path length difference becomes small compared with the wavelength of light and there is a phase shift at the top surface. If it becomes dark when the path length difference is less than one-fourth the wavelength, what is the thickest the bubble can be and appear dark at all visible wavelengths? Assume the same index of redfraction as water.
(b) Discuss the fragility of the film considering the thickness found.
Figure shows a double slit located a distance from a screen, with the distance from the center of the screen given by . When the distance between the slits is relatively large, there will be numerous bright spots, called fringes. Show that, for small angles (where , with in radians), the distance between fringes is given by .
A telescope can be used to enlarge the diameter of a laser beam and limit difddfraction spreading. The laser beam is sent through the telescope in opposite the normal direction and can then be projected onto a satellite or the Moon.
(a) If this is done with the Mount Wilson telescope, producing a \(2.54 - m\) diameter beam of \(633 - nm\) light, what is the minimum angular spread of the beam?
(b) Neglecting atmospheric effects, what is the size of the spot this beam would make on the Moon, assuming a lunar distance of \(3.84 \times {10^8}{\rm{ }}m\)?
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