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Light Refraction

Refraction is the change in direction of a wave due to a change in its transmission medium. Refraction is a surface phenomenon. It is in agreement with the law of conservation of energy and momentum. Due to the change of medium, the phase velocity of the wave is changed but its frequency remains constant. This principle is commonly observed when a wave passes from one medium to another any angle besides 90o and 0o.

Refraction of light is the most commonly observed phenomenon but any type of wave can refract when it interacts with a medium. For example, when sound waves pass from one medium into another or when water waves move into water of a different depth.

Refraction is described by Snell’s law. This law states that for a given pair of media and a ave with a single frequency, the ration of the sines of the angle of incidence ϴ1 and angle of refraction ϴ2 is equivalent to the ratio of phase velocities in the two media or equivalent to the opposite ratio of the indices of refraction. The equation is as followed

sinϴ1/sinϴ2 = v1/v2 = n2/n1

The incident wave is partially refracted and partially reflected. This behavior can be described by the Fresnel equations.

Categories within Light Refraction

Prisms

Postings: 8

A prism is a transparent optical element with a smooth surface that refracts light.

Lenses

Postings: 59

A lens is a transparent optical device that transmits and refracts the light.

Refraction, Refractive Index, Resolution and Numerical Aperture

Define the following four terms associated with light microscopy: refraction, refractive index, resolution and numerical aperture. Does the resolution of a microscope depend on the wavelength of light used to observe the sample preparation? What wavelength of visible light would you want to use for the best resolution?

Law of Refraction, Rainbows, Raindrops

Greek letters alpha and beta are denoted by a and b respectively in the description below. Rainbows are formed when light strikes raindrops and is reflected and refracted as shown in the figure in the attached document. The figure shows a cross section of a spherical raindrop. The Law of Refraction states that (sin a) / (si

Rays of Light: Incident on Glass Plate Example Problems

Two very narrow rays of light of different colors are incident on a glass plate at different angles. The difference in angle is exaggerated for the sake of clarity. It so happens that the two rays coalesce into one ray on entry into the glass as shown in the diagram. a) Which of the two rays has the higher index of refractio

Reflection and refraction are examined.

Please help with the following problem. A multiple ray projector, with the rays parallel, strikes the prism from various angles and sides. How would you obtain total internal reflection? If you set it up so the incoming rays are turned through an 180 degree angle, what would the ray diagram look like (draw diagram)? Is it

Special Senses

Regarding the eye and vision describe how it is that you can see your computer screen to read this post.

Behavioral Science: Neural Systems

Explain the communication process of neurons in the brain. List some common neurotransmitters and describe their effect on behavior. Identify the major regions of the brain and what functions of behavior the systems of each region control. Consider the following chain of events. Describe the sensory process that takes pl

A problem on prism.

The Triangular prism shown in Figure 1 (see attachment) has index of refraction 1.5 and angles 37, 53, and 90 degrees. The shortest side of the prism is set on a horizontal table. A beam of light, initially horizontal, is incident on the prism from the left. a.) On Figure 1, sketch the path of the beam as it passes throu

At what angle does the light enter the liquid?

A ray of light traveling through a gas (n = 1.00) enters a solid (n = 1.55) at an an angle of 35 degrees and then enters a liquid (n = 1.55). At what angle does the light enter the liquid?

Find the height of a dust speck

See attached for exact description and figure. In the illustration above, two glass plates have a very slight angle between them because a speck of dust props up one edge of the top plate. When illuminated from above with light of wavelength 546 nm, eleven dark interference fringes are observed (counting from zero at the le

Lens Coating Thickness

A camera manufacturer wishes to deposit a non-reflective coating onto a glass lens for a wavelength of 550 nm. The index of refraction of the coating material is 1.38 and that of the glass is 1.53. Find the smallest three possible thicknesses for the coating.

Index of refraction and critical angle

Sodium atoms in a Bose-Einstein condensate can slow the speed of light's energy propagation to 70 km/hr. Find the index of refraction for this material, and critical angle for total internal refraction if the atoms are otherwise in vacuum.

Reflection and refraction of light: half silvered sphere.

A solid glass sphere of radius R and index 1.50 is silvered over one hemisphere. A small object is located on the axis of the sphere at a distance 2R from the pole of the un-silvered hemisphere. Find the position of the final image formed by the refracting and reflecting surfaces. My approach to this question had the rays in

Refraction and Distance

A spotlight on a boat is 2.5 m above the water and the light strikes the water at a point that is 8.0 m horizontally displaced from the spotlight. The depth of the water is 4.0 m. Determine the distance d, which locates the point where the light strikes the bottom. 2.5 m 8 m

Internal Reflection of a Pool

You have a source of white light at the bottom of a pool of water. Describe how you would use total internal reflection to filter blue and violet light from being refracted into the air above the pool. Be quantitative. Assume that this is a strange kind of water and use the indices as given below. Assume the index of refract

Light 22.17

What is the critical angle for total internal reflection in plastic (polymethylmethacrylate) at an interface with air? I believe the answer is 42.2^o. I need to see each step and formula to solve this question. Please assume I know nothing because this would be the correct assumption. :)

The Thin-Lens Equation

A thin lens forms an image of an overhead electric lamp on a piece of paper. The distance to the lamp from the lens is 148 cm; the distance to the paper from the lens is 16.0 cm. What is the focal length of the lens? I need to see each step and formula to solve this question.

Interference of light: Michelson's Interferometer.

2). A Michelson interferometer has a vacuum chamber 5.0 cm long placed in one of its arms. The interferometer is illuminated with green laser light of wavelength lambda = 543.5nm. As an unknown gas is let into the vacuum chamber, 200 fringes are counted. (Assume an ideal vacuum initially). What is the index of refraction of

Light is incident on a transparent glass slab in vacuum and again when the slab is then immersed in a pool of liquid. Given the angles of incidence and refraction, to determine the index of refraction of the liquid.

Light in a vacuum is incident on a transparent glass slab. The angle of incidence is 40.6°. The slab is then immersed in a pool of liquid. When the angle of incidence for the light striking the slab is 11.7°, the angle of refraction for the light entering the slab is the same as when the slab was in a vacuum. What is the index

Light Refraction and Reflection of a Laser

The drawing shows a crown glass slab with a rectangular cross-section. As illustrated, a laser beam strikes the upper surface at an angle of 60.0 degree. After reflecting from upper surface, the beam reflects from the side and bottom surfaces. (a) If the glass is surrounded by air, determine where part of the beam first exits th

Problem Set of Interference and Parallel Plates

2.7 Suppose a virtual image is located 8 cm to the right of a lens which has a focal length of -12 cm. Find the location of the object. (Answer: 24 cm to the right.) 3.8 Suppose two parallel plates of glass are separated uniformly by a very small distance. Show that constructive interference occurs when the thickness and wav

Critical Angle for Total Reflection in Water & Ray-Tracing Balloon Diagram

1. A piece of lucite (transparent plastic) has an index of refraction of 1.45. Find the critical angle (for total internal reflection) if the plastic is in air. Now find the critical angle if the plastic is immersed in water. In both cases, we are considering a ray of light inside the lucite, hitting the interface between lucite

Paraxial Ray tracing problem

Paraxial Ray Tracing Problem Consider a convex lens with the first surface having a radius of curvature of 31.123mm, a lens thickness of 5.8mm, and the second surface of the lens is flat. The lens is made from a glass whose diameter is 30mm. Assume that an object is held 300mm to the left of the lens that glows at two wav

Plot the critical angle (measured relative to the interface surface normal) for a) a glass-air interface for glass refractive index values from n=1.33 to 2.1 b) a glass-water interface for glass refractive index values from n=1.5-2.1 (assume nwater=1.33)

Plot the critical angle (measured relative to the interface surface normal) for a) a glass-air interface for glass refractive index values from n=1.33 to 2.1 b) a glass-water interface for glass refractive index values from n=1.5-2.1 (assume nwater=1.33)

Optic: Index of Refraction

A beam of parallel rays from a laser is incident on a solid transparent sphere of index refraction n (see fig). If point image is produced at the back of the sphere, what is the index of refraction? What index of refraction, if any, will produce a point image at the center of sphere? Please state what equations you use (if an

The Eye - Part 3

Please answer the following ten multiple choice questions. 1)The ability of the eye to distinguish two nearby points is called A) Accomodation B) Pupillary light reflex C) Refraction D) Visual acuity 2) How many different photopigments are contained in the rods and cones of the retina? A)

Critical Angle of a Light Ray Travelling from Glass to Air

A light ray is traveling from glass (refractive index 1.54) into air (refractive index 1.00) at an angle of incidence of 45 degrees as shown. See attachment for diagram. Calculate the critical angle for the light going from glass to air. Show on a ray diagram what happens to the ray after it hits the interface. Show a