How far must the mirror M₁ in a Michelson interferometer be moved if 730 fringes of 589-nm light are to pass by a reference line?

When driving at night, your eyes’ pupils have dilated to a 7.5-mm diameter. If your vision is diffraction limited, what would be the greatest distance at which you could resolve the two headlights of an oncoming car, which are spaced 1.5 m apart? Assume a wavelength of 550 nm for the light.

Calculate the minimum thickness needed for an antireflective coating (n = 1.42) applied to a glass lens in order to eliminate (a) blue (450 nm), or (b) red (720 nm) reflections for light at normal incidence.

How far apart are the dark fringes in Example 34–6 if the glass plates are each 26.3 cm long?

A micrometer is connected to the movable mirror of an interferometer. When the micrometer is tightened down on a thin metal foil, the net number of bright fringes that move, compared to the empty micrometer, is 272. What is the thickness of the foil? The wavelength of light used is 611 nm.

What is the minimum (non-zero) thickness for the air layer between two flat glass surfaces if the glass is to appear dark when 650-nm light is incident normally? What if the glass is to appear bright?

Light of wavelength 690 nm passes through two narrow slits 0.66 mm apart. The screen is 1.75 m away. A second source of unknown wavelength produces its second-order fringe 1.23 mm closer to the central maximum than the 690-nm light. What is the wavelength of the unknown light?

(II) How many slits per centimeter does a grating have if the third order occurs at an 18.0° angle for 650-nm light?

A thin film of soap (n = 1.34) coats a piece of flat glass (n = 1.52). What is the minimum film thickness if it reflects 643-nm red light most strongly when illuminated normally by white light?