Exam 35: Interference

An air wedge is formed using two glass plates that are in contact along their left edge.When viewed by highly monochromatic light, there are exactly 4001 dark bands in the reflected light.The air is now evacuated (with the glass plates remaining rigidly fixed)and the number of dark bands decreases to exactly 4000.The index of refraction of the air is:

In a Young's double-slit experiment the center of a bright fringe occurs wherever waves from the slits differ in the distance they travel by a multiple of:

Huygens' construction can be used only:

In a Young's double-slit experiment, the slit separation is doubled.This results in:

A soap film is illuminated by white light normal to its surface.The index of refraction of the film is 1.50.Wavelengths of 480 nm and 800 nm and no wavelengths between are intensified in the reflected beam.The thickness of the film is:

A light wave with an electric field amplitude of E₀ and a phase constant of zero is to be combined with one of the following waves.Which of these combinations produces the greatest intensity?

If the speed of light is c, and the index of refraction of a material is n, what is the speed of light in the material?

Waves from two slits are in phase at the slits and travel to a distant screen to produce the third bright fringe of the interference pattern.The difference in the distance traveled by the waves is:

Yellow light is viewed by reflection from a thin vertical soap film.Let $\lambda$ be the wavelength of the light within the film.Why is there a large dark space at the top of the film?

Red light is viewed through a thin vertical soap film.At the third dark area shown, the thickness of the film, in terms of the wavelength $\lambda$ within the film, is:

Consider (I)the law of reflection and (II)the law of refraction.Huygens' principle can be used to derive:

Light from a point source X contains only blue and red components.After passing through a mysterious box, the light falls on a screen.Red and blue hands are observed as shown.The box must contain:

An air wedge is formed from two glass plates which are in contact at their left edges.There are ten dark bands when viewed by reflection using monochromatic light.The left edge of the top plate is now slowly lifted until the plates are parallel.During this process:

If two light waves are coherent:

Units of "optical path length" are:

The light waves represented by the three rays shown in the diagram all have the same frequency.4.7 wavelengths fit into layer 1, 3.2 wavelengths fit into layer 2, and 5.3 wavelengths fit into layer 3.Rank the layers according to the speeds of the waves, least to greatest.

Monochromatic light, at normal incidence, strikes a thin film in air.If $\lambda$ denotes the wavelength in the film, what is the thinnest film in which the reflected light will be a maximum?

A liquid of refractive index n = 4/3 replaces the air between a fixed wedge formed from two glass plates as shown.As a result, the spacing between adjacent dark bands in the interference pattern:

Waves from two slits are in phase at the slits and travel to a distant screen to produce the second minimum of the interference pattern.The difference in the distance traveled by the wave is:

In a Young's double-slit experiment, light of wavelength 500 nm illuminates two slits which are separated by 1 mm.The separation between adjacent bright fringes on a screen 5 m from the slits is: