Exam 23: Light: Geometric Optics

A sodium light, having wavelength 589.3 nm, is used to view a soap film to make it look black when directed perpendicular to the film. What is the minimum thickness of the soap film if the Index of refraction of soap solution is 1.38?

When a beam of light, originally traveling in air, enters a piece of glass having an index of refraction of $3 / 2$ , its wavelength

At most, how many bright fringes can be formed on one side of the central bright fringe (not counting the central bright fringe) when light of $625 \mathrm {~nm}$ falls on a pair of slits that are $6.77 \times 10 ^ { - 6 } \mathrm {~m}$ apart?

Light having a wavelength in vacuum of $600 \mathrm {~nm}$ enters a liquid of refractive index $2.0$ . In this liquid, what is the wavelength of the light? $\left( c = 3.0 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } \right)$

When a beam of light that is traveling in air is reflected by a glass surface, there is

Coherent light of wavelength $540 \mathrm {~nm}$ passes through a pair of thin slits that are $3.4 \times 10 ^ { - 5 } \mathrm {~m}$ apart. At what angle away from the centerline does the second bright fringe occur?

Coherent light of wavelength $575 \mathrm {~nm}$ falls on a double-slit and the third-order bright fringe is seen at an angle of $6.5 ^ { \circ }$ away from the centerline. How far apart are the double slits?

Light of intensity S0 that is polarized horizontally passes through three ideal polarizers. The first and third are horizontal, but the second one is oriented at 0.39270 rad to the horizontal. In terms of S0, the intensity of the light that passes through the set of polarizers is closest to which one of the Following choices?

In a two-slit experiment using coherent light, the distance between the slits and the screen is $1.10$ $\mathrm { m }$ , and the distance between the slits is $0.100 \mathrm {~mm}$ . If the first-order bright fringe is measured to be $3.40 \mathrm {~cm}$ from the centerline, what is the wavelength of the light?

Two thin slits are $6.00 \mu \mathrm { m }$ apart. Monochromatic coherent light falls on these slits, and produces a fifth-order bright interference fringe at an angle of $32.3 ^ { \circ }$ away from the centerline. What is the wavelength of the light?

Light in air of wavelength 500 nm illuminates a soap film that has an index of refraction of 1.3 and air on both sides. What is the minimum thickness of this film that will produce cancellation in the reflected light when the light is incident normally on the film?

In a double-slit experiment, it is observed that the distance between adjacent maxima on a remote screen is 1.0 cm. What happens to the distance between adjacent maxima when the slit separation Is cut in half?

A soap bubble film that is 106 nm thick and has an index of refraction of 1.42 results in constructive interference in the reflected light if this film is illuminated by a beam of light with a Wavelength of 601 nm. What are the next three thicknesses of this film that will also result in Constructive interference?

The following items are positioned in sequence: A source of a beam of natural light of intensity $I _ { 0 }$ , three ideal polarizers A, B, and C; and an observer. Polarizer axis angles are measured clockwise from the vertical, as viewed by the observer. The axis angle of polarizer $A$ is set at $0 ^ { \circ }$ (vertical), and the axis angle of polarizer $C$ is set at $50 ^ { \circ }$ . The axis angle of polarizer $B$ is set at $120 ^ { \circ }$ . What is ratio of the intensity of the beam at the observer to the intensity $I _ { 0 }$ of the source?

When a beam of light that is traveling in glass strikes an air boundary at the surface of the glass, there is

Unpolarized light passes through three ideal polarizing filters. The first filter is oriented with a horizontal transmission axis, the second one has its transmission axis at 30° from the horizontal, And the third filter has a vertical transmission axis. What percent of the light gets through this Combination?

Light of wavelength $550 \mathrm {~nm}$ in air is found to travel at $1.96 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s }$ in a certain liquid. What are the frequency and wavelength of the light in this liquid? $\left( c = 3.0 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } \right)$

When red light illuminates a grating with 7000 lines per centimeter, its second maximum is at $62.4 ^ { \circ }$ . What is the wavelength of this light?

What is Brewster's angle for light traveling in vacuum and reflecting off a piece of glass having a refractive index of 1.52?

Two light sources are said to be coherent if they are