Exam 17: Wave Optics

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

The index of refraction of a certain glass is measured to be 1.5. What is the speed of light in that glass? (c = 3.0 × 10⁸ m/s)

A pair of narrow slits that are 1.8 mm apart is illuminated by a monochromatic coherent light source. A fringe pattern is observed on a screen 4.8 m from the slits. If the wavelength of the monochromatic light is 450 nm, what is the angular separation between adjacent dark fringes on the screen, measured in milliradians?

Two radio antennas are 120 m apart on a north-south line. The two antennas radiate in phase at a frequency of 5.6 MHz. All radio measurements are made far from the antennas. What is the smallest angle, reckoned north of east from midway between the antennas, at which destructive interference of the two radio waves occurs? (c = 3.00 × 10⁸ m/s)

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 nm falls on a pair of slits that are $6.77 \times 10 ^ { - 6 } \mathrm {~m}$ apart?

In a two-slit experiment, the slit separation is 3.00 × 10^{- 5} m. The interference pattern is created on a screen that is 2.00 m away from the slits. If the 7th bright fringe on the screen is 10.0 cm away from the central fringe, what is the wavelength of the light?

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

Light of wavelength 610 nm is incident on a slit 0.20 mm wide and the diffraction pattern is viewed on a screen that is 1.5 m from the slit. What is the width on the screen of the central maximum?

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

What is the angular separation of two spectral lines of wavelengths 497 nm and 251 nm formed in the third order with a diffracting grating having 587 lines per millimeter?

A soap bubble, when illuminated at normal incidence with light of 463 nm, appears to be especially reflective. If the index of refraction of the film is 1.35, what is the minimum thickness the soap film can be if it is surrounded by air?

Light has wavelength 600 nm in a vacuum. It passes into glass, which has an index of refraction of 1.5. What is the frequency of the light inside the glass? (c = 3.0 × 10⁸ m/s)

Light having a speed in vacuum of 3.0 × 10⁸ m/s enters a liquid of refractive index 2.0. In this liquid, its speed will be

Radio waves are diffracted by large objects such as buildings, whereas light is not noticeably diffracted. Why is this?

A beam of light of wavelength 610 nm passes through a slit that is 1.90 µm 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 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.)

When a diffraction grating having 5000 lines/cmis illuminated by monochromatic light, the angle between the central maximum and the fourth order maximum is 47.2°. What is the wavelength of the light?

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?

If a metal sheet containing a tiny hole is heated (without damaging it) and therefore expands, what happens to the angular location of the first-order diffraction maximum?

If a diffraction grating is heated (without damaging it) and therefore expands, what happens to the angular location of the first-order maximum?