Exam 23: Light: Geometric Optics

A beam of light of wavelength $610 \mathrm {~nm}$ passes through a slit that is $1.90 \mu \mathrm { m }$ wide. At what the angle away from the centerline does the second dark fringe occur?

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

A beam of light of wavelength $600 \mathrm {~nm}$ passes through a slit that is $3.1 \times 10 ^ { - 5 } \mathrm {~m}$ wide, and then goes on to a screen that is $2.2 \mathrm {~m}$ from the slit. On the screen, how far is the second dark fringe from the center of the diffraction pattern?

The colors on an oil slick are caused by reflection and

Light of the same wavelength passes through two diffraction gratings. One grating has 4000 lines/cm, and the other one has 6000 lines/cm. Which grating will spread the light through a larger Angle in the first-order pattern?

A beam of monochromatic light passes through a slit that is $11.0 \mu \mathrm { m }$ wide. If the first order dark fringe of the resulting diffraction pattern is at an angle of $4.31 ^ { \circ }$ away from the centerline, what is the wavelength of light?

A beam of light is polarized in a vertical plane and has an intensity I0. The beam passes through an ideal polarizer and then through an ideal analyzer whose axis is set horizontally. If the axis of The polarizer is set at 60° with the vertical, what is the ratio of the intensity of the final beam to I0?

A single thin slit forms a diffraction pattern, with the first minimum at an angle of $40.0 ^ { \circ }$ from central maximum. If monochromatic light of $530.0 - \mathrm { nm }$ wavelength is used for the illumination, what is the width of the slit?

If a sheet containing two very thin slits is heated (without damaging it), what happens to the angular location of the first-order interference minimum?

A piece of glass has a thin film of gasoline floating on it. A beam of light is shining perpendicular on the film. If the wavelength of light incident on the film is 560 nm and the indices of refraction of Gasoline and glass are 1.40 and 1.50, respectively, what is the minimum nonzero thickness of the Film to see a bright reflection?

Light passes through three ideal polarizing sheets. Unpolarized light enters the first sheet and the resultant vertically polarized beam continues through the second sheet and third sheet. The second sheet has its transmission axis at $50 ^ { \circ }$ with respect to the first sheet, and the third sheet is at $70 ^ { \circ }$ with respect to the first sheet. (a) What percent of the original intensity emerges from filter #1? (b) What percent of the original intensity emerges from filter #2? (c) What percent of the original intensity emerges from filter #3?

Light has a wavelength of 600 nm in a vacuum. It passes into glass, which has an index of refraction of 1.50. What is the wavelength of the light in the glass?

In a single-slit diffraction experiment, the width of the slit through which light passes is reduced. What happens to the width of the central bright fringe in the resulting diffraction pattern?

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 the wavelength of the monochromatic light is $450 \mathrm {~nm}$ , what is the angular separation between adjacent dark fringes on the screen, measured in milliradians?

Two beams of coherent light start out at the same point in phase and travel different paths to arrive at point P. If the maximum constructive interference is to occur at point P, the two beams Must travel paths that differ by

A vertically polarized beam of light of intensity 100 W/m2 passes through two ideal polarizers. The transmission axis of the first polarizer makes an angle of 20.0° with the vertical, and the Transmission axis of the second one makes an angle of 40.0° with the vertical. What is the intensity Of the light after it has passes through both polarizers?

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. What is the smallest microwave frequency for which only the central maximum will occur? $\left( c = 3.00 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } \right)$

If a sheet containing a single thin slit is heated (without damaging it) and therefore expands, what happens to the width of the central bright diffraction region on a distant screen?

The distance between the ruled lines on a diffraction grating is $1900 \mathrm {~nm}$ . 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 angular width of the gap between the first order spectrum and the second order spectrum?

A double-slit experiment uses coherent light of wavelength 633 nm with a slit separation of 0.100 mm and a screen placed 2.0 m away. (a) How wide on the screen is the central bright fringe? (b) What is the distance on the screen between first-order and second-order bright fringes? (c) What is the angular separation (in radians) between the central maximum and the first-order maximum?