Exam 17: Wave Optics

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?

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?

Light of wavelength 550 nm in air is found to travel at 1.96 × 10⁸ m/s in a certain liquid. What are the frequency and wavelength of the light in this liquid? (c = 3.0 × 10⁸ m/s)

Consider an experiment using a diffraction grating with 7000 lines/cm, a screen 2.50 m away, and a $440 - n m$ wavelength beam of light. (a) How many side maxima will be observed on one side of the central maximum? (b) How far apart on the screen are the first-order and second-order maxima on the same side of the central maximum?

A thin uniform film of oil that can be varied in thickness covers a sheet of glass of refractive index 1.52. The refractive index of the oil is 1.64. Light of wavelength 555 nm is shone from air at normal incidence on the film. Starting with no oil on the glass, you gradually increase the thickness of the oil film until the first interference maximum in the reflected light occurs. What is the thickness of the oil film at that instant?

If the index of refraction of a material is 2, this means that light travels

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 first dark fringe occur?

A single-slit diffraction pattern is formed on a distant screen. Assuming the angles involved are small, by what factor will the width of the central bright spot on the screen change if the slit width is doubled?

A two-slit arrangement with 60.3 μm separation between the slits is illuminated with $491.0 \mathrm {~nm}$ coherent light. If a viewing screen is located 2.14 m from the slits, find the distance from the first dark fringe on one side of the central maximum to the second dark fringe on the other side.

Light in a frozen block of ice reflects off the ice-air interface at the surface of the block. What phase shift does it undergo?

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 metallic sheet has a large number of parallel slits, 5.0 mm wide and 20 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 cm, what is the largest angle from the normal, at which an intensity maximum occurs?

The speed of light in a certain material is measured to be 2.2 × 10⁸ m/s. What is the index of refraction of this material? (c = 3.0 × 10⁸ m/s)

Two radio antennas are 130 m apart on a north-south line. The two antennas radiate in phase at a frequency of 3.6 MHz. All radio measurements are made far from the antennas. What is the smallest angle, reckoned east of north from midway between the antennas, at which constructive interference of two radio waves occurs? (c = 3.00 × 10⁸ m/s)

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

A diffraction grating has 450 lines per millimeter. What is the highest order m that contains the entire visible spectrum from 400 nm to 700 nm?

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?

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?

In a double-slit experiment, the slit separation is 1.75 mm, and two coherent wavelengths of light, 425 nm and 510 nm, illuminate the slits. At what angle from the centerline on either side of the central maximum will a bright fringe from one pattern first coincide with a bright fringe from the other pattern?

Monochromatic light of wavelength 500 nm is incident normally on a diffraction grating. If the third-order maximum of the diffraction pattern is observed at 32° from the centerline, what is the distance between the slits of the grating?