Exam 13: Interference and Diffraction

Use the figure for the next two questions. -The interference pattern is from a convex lens placed on a flat reflecting surface using a monochromatic light of wavelength $\lambda$ = 550 nm. The distance between the lens and the flat surface at position A is

When a parallel beam of light is diffracted at a single slit,

You illuminate a slit 0.20 mm wide with monochromatic light of wavelength 590 nm, and focus the Fraunhofer diffraction pattern on a screen with a lens of focal length 2)00 m. The distance between the two dark fringes on each side of the central bright fringe is

Hydrogen emits violet light with a wavelength of 410 nm and red light with a wavelength of 656 nm. A parallel beam of hydrogen light is normally incident on a diffraction grating that has 5500 lines per cm. What is the angle between the second order red line and the third order violet line that appear close together?

Light of wavelength 650 nm is incident on a slit of width 25.0 µm. At what angle is the second diffraction minimum observed?

You place a convex lens on top of a flat plate of glass and illuminate it with monochromatic light of wavelength 600 nm. You observe a dark circle at the center of the lens, surrounded by a series of concentric dark rings. What is the thickness of the air space between the lens and the flat glass plate where you see the sixth dark ring?

Rayleigh's criterion is most closely associated with

A phase shift of 180º occurs when a light wave

Two optically flat plates lie one on top of the other. A sheet of paper 0.1 mm thick is inserted between the plates at one edge. When the plates are illuminated by light of wavelength 589 nm, the number of interference fringes observed by reflected light is approximately

You coat a glass lens (n = 1.65) with MgF₂ (n = 1.38) to reduce reflection. The minimum thickness of coating required to produce destructive interference in reflected light whose wavelength in air is 560 nm is

The distance between the slits in a double-slit experiment is increased by a factor of 4. If the distance between the fringes is small compared with the distance from the slits to the screen, the distance between adjacent fringes near the center of the interference pattern

Use the figure for the next two questions. -The interference pattern is from a spherical lens placed on a flat reflecting surface using a monochromatic light of wavelength $\lambda$ = 550 nm. If the distance from the center to A is 0.6 mm, the radius of curvature of the lens is

Light of wavelength 500 nm illuminates parallel slits and produces an interference pattern on a screen that is 1 m from the slits. In terms of the initial intensity I₀, the light's intensity in the interference pattern at a point for which the path difference is 300 nm is

For us to see interference phenomena in a thin film,

If a thin soap film (n = 1.36) reflects predominately red light (about 680 nm), then what is the minimum thickness of the soap film?

You set two slits 30 mm apart and 50 cm from a screen. When you illuminate the slits with light of wavelength 600 nm, the distance between the second and third dark interference lines is

You apply a material with n = 1.25 to a lens (n_g = 1.5) to make a nonreflective coating due to destructive interference at a wavelength (in a vacuum) of 555 nm. What is the minimum thickness of the coating that you need?

For a given grating, it is observed that a third-order line (m = 3) with $\lambda$ = 465.3 nm overlaps a second-order line (has the same $\theta$ as a line with m = 2). The wavelength of the second-order line is

You deposit a thin film of magnesium difluoride on a glass lens (n > 1.60), reducing the reflection of yellow light, at normal incidence, to a minimum. You find that the thinnest coating that accomplishes this is 106 nm thick. The index of refraction for MgF₂ for yellow light ( $\lambda$ = 585 nm) is

Two narrow slits, their centers separated by 15 cm, are illuminated by monochromatic radiation and produce the pattern in the figure on a distant screen. The wavelength of the radiation is