Purchase Solution

Light & Interference

Not what you're looking for?

Ask Custom Question

1. "7x50" binoculars magnify angles by a factor of 7.0, and their objective lenses have an aperture of 50 mm diameter.

(a) According to Rayleigh's criterion, what is the intrinsic angular resolution of these binoculars? Assume that the light have a wavelength of 500 nm.

(b) At best, the pupil of your eye has an aperture of 7.0 mm diameter. Compare the angular resolution of your eye divided by a factor of 7.0 with the intrinsic angular resolution of the binoculars. Which of the two numbers determines the actual angular resolution you can achieve while looking through the binoculars.

2. A Newton's ring apparatus consists of a lens with one flat surface and one convex surface rests on a flat plate of glass (Fig. 35-45a). A light ray normally incident on the lens will be partially reflected by the curved surface of the lens and partially reflected by the flat plate of glass. The interference between these reflected rays will be constructive or destructive, depending on the height of the air gap between the lens and the plate. The interference gives rise to the pattern of Newton's rings, shown in Fig. 35-45b.

(a) Why is the center of the pattern dark?
(b) Show that the radius of the mth dark ring is r= √(mλR-m^2 λ^2/4) where λ is the wavelength of the light and R is the radius of curvature of the convex surface of the lens.
(c) What is the radius of the first dark ring if λ= 500 nm and R = 3.0 m?

Please see the attachment for the diagrams.

Attachments
Purchase this Solution
Solution Summary

The solution discusses the answers the given questions regarding light and interference.

Purchase this Solution
Free BrainMass Quizzes
Classical Mechanics

This quiz is designed to test and improve your knowledge on Classical Mechanics.

Basic Physics

This quiz will test your knowledge about basic Physics.

Variables in Science Experiments

How well do you understand variables? Test your knowledge of independent (manipulated), dependent (responding), and controlled variables with this 10 question quiz.

Introduction to Nanotechnology/Nanomaterials

This quiz is for any area of science. Test yourself to see what knowledge of nanotechnology you have. This content will also make you familiar with basic concepts of nanotechnology.

The Moon

Test your knowledge of moon phases and movement.

View More Free Quizzes
Related BrainMass Solutions

  • Interference of Light: Difference situations

    56689 Interference of Light: Difference situations If you punched a metal plate with two pinholes and illuminated them with light, would you see interference fringes if you used: (a) laser light, or (b) light from an LED (light emitting diode) ?

  • Interference and diffraction

    40376 Interference and diffraction What is the difference between interference and diffraction of light waves? (1)Diffraction is the process by which light waves traveling throught a small hole, slit or around a boundary will spread out.

  • Thin-Film Interference

    Sometime they ask about reflected light, sometimes transmitted light. Sometimes they want constructive interference, sometimes they want destructive interference. Sometime the light goes from air to glass to water, or from water to air to glass.

  • Oil Film and Light Interference

    56173 Oil Film and Light Interference Consider an oil film (n = 1.5) on water (n = 1.33) and light of wavelength 600 nm in air, incident of the film. What would the minimum film thickness for constructive interference of the light in air be?

  • Interference of light: Double slit experiment.

    313101 Interference of light: Double slit experiment. When green light passes through a double slit arrangement in air, the interference pattern in Figure (a) above is observed on a distant screen.

  • Wave Optics : Interference

    In case two flash light are used as sources of light no interference pattern will be observed as two separate flash lights will not be coherent. There will be random and independent phase variation between the lights coming from the flashlights.

  • Wave Optics: Interference through thin films.

    171514 Wave Optics: Interference through thin films. 1.) A mixture of yellow light (wavelength = 582 nm in vacuum) and violet light (wavelength = 414 nm in vacuum) falls perpendicularly on a film of gasoline that is floating on a puddle of water.

  • interference

    To get constructive interference of the green light, The minimum thickness is then when the order m =1 So The minimum thickness of the film is 184 nm. Interference are investigated and explained.

  • Thin film interference and air gap of variable thickness

    As in all cases of interference, whether the interference is constructive or destructive depends on the following: 1. The difference in the optical path length of two interfering light rays 2.

  • Interference of light

    17868 Interference of light: thickness of the layer A layer of transparent plastic (n = 1.59) on glass (n = 1.52) looks dark when viewed in reflected light whose wavelength is 570 nm in vacuum.

View More Related Solutions