Exam 23: Light: Geometric Optics

In a diffraction grating experiment, light of 600 nm wavelength produces a first-order maximum 0.35 mm from the central maximum on a distant screen. On the same screen, a second monochromatic source produces a third-order maximum 0.87 mm from the central maximum when it passes through the same diffraction grating. What is the wavelength of the light from the second source?

The distance between the ruled lines on a diffraction grating is $1770 \mathrm {~nm}$ . The grating is illuminated at normal incidence with a parallel beam of white light in the $400 \mathrm {~nm}$ to $700 \mathrm {~nm}$ wavelength band. What is the longest wavelength that appears in the third order spectrum?

Monochromatic coherent light shines through a pair of slits. If the wavelength of the light is decreased, which of the following statements are true of the resulting interference pattern? (There Could be more than one correct choice.)

A pair of narrow slits that are $1.8 \mathrm {~mm}$ apart is illuminated by a monochromatic coherent light source. A fringe pattern is observed on a screen $4.8 \mathrm {~m}$ from the slits. If there are $5.0$ bright fringes/cm on the screen, what is the wavelength of the monochromatic light?

In a two-slit experiment, monochromatic coherent light of wavelength $600 \mathrm {~nm}$ passes through a pair of slits separated by $2.20 \times 10 ^ { - 5 } \mathrm {~m}$ . At what angle away from the centerline does the first bright fringe occur?

When light of wavelength $450 \mathrm {~nm}$ falls on a single slit of width $0.30 \mathrm {~mm}$ , what is the angular width of the central bright region?

Two very flat glass plates, 16 cm long, are in contact at one end and separated by 0.020 mm at the other end. The space between the plates is occupied by oil with index of refraction 1.45. The Refractive index of the glass plates is 1.55. The plates are illuminated at normal incidence with Monochromatic light, and fringes are observed. If the spacing of the dark fringes is 2.0 mm, what is The wavelength of the monochromatic light?

Red light with a wavelength of 650 nm travels from air into a liquid with an index of 1.33. What are the frequency and wavelength of the light in the liquid? $\left( c = 3.0 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } \right)$

For a beam of light, the direction of polarization is defined as

A beam of light of wavelength $630 \mathrm {~nm}$ is incident on a slit that is $0.400 \mathrm {~mm}$ wide. If the distance between the slit and the screen is $1.80 \mathrm {~m}$ , what is the width on the screen of the central bright fringe?

A soap bubble has an index of refraction of 1.33. What minimum thickness of this bubble will ensure maximum reflectance of normally-incident light having a wavelength of 530 nm?

A diffraction grating with 396 lines/mm is illuminated with light of wavelength $343 \mathrm {~nm}$ . What is the angular separation between the two second-order bright fringes?

An oil film with refractive index 1.48 and thickness 290 nm is floating on water and illuminated with white light at normal incidence. What is the wavelength of the dominant color in the reflected Light?

When light in air strikes the flat surface of a certain glass at 31.2° with the normal, the reflected ray is 100 percent polarized. What is the critical angle for the air-glass interface of this glass?

A 500-nm-wavelength beam of light illuminates a soap film with air on both sides and an index of refraction 1.33. If the beam of light is incident normally on the film, what is the minimum thickness Of the film to make the reflected light enhanced in brightness?

An optical engineer needs to ensure that the bright fringes from a double-slit are $15.7 \mathrm {~mm}$ apart on a detector that is $1.70 \mathrm {~m}$ from the slits. If the slits are illuminated with coherent light of wavelength $633 \mathrm {~nm}$ , how far apart should the slits be?

A 360-nm thick oil film floats on the surface of a pool of water water. The indices of refraction of the oil and the water are 1.5 and 1.33, respectively. When the surface of the oil is illuminated from Above at normal incidence with white light, what are the two wavelengths of light between 400 nm To 800 nm wavelength that are most strongly reflected?

When a single slit that is $0.050 \mathrm {~mm}$ wide is illuminated by light of $550 - \mathrm { nm }$ wavelength, what is the angular separation between the first two minima on one side of the central maximum?

The critical angle for an air-glass interface is 42.6°. A light ray in air hits the interface, and the reflected ray is 100% polarized. What is the angle of refraction for that ray?

A metallic sheet has a large number of parallel slits, $5.0 \mathrm {~mm}$ wide and $20 \mathrm {~cm}$ apart. This sheet is used as a diffraction grating for microwaves. A wide parallel beam of microwaves is incident normally on the sheet. If the microwave wavelength is $6.0 \mathrm {~cm}$ , what is the largest angle from the normal, at which an intensity maximum occurs?