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# Light Refraction

### 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?

### At what angle of incidence would the reflected light be 100 percent polarized?

Light is incident from air onto the surface of a liquid. the angle of incidence is 53 degrees, and the angle of refraction is 34 degrees. At what angle of incidence would the reflected light be 100 percent polarized?

### Figuring thickness of gasoline floating on a puddle of water with sunlight reflecting off of it.

Question 2 (10 points) A thin film of gasoline floats on a puddle of water. Sunlight falls almost perpendicularly on the thin film and reflects to your eyes. Although the sunlight is white, and it contains all colors, the film has a yellow hue because of destructive interference eliminating the color blue. Blue wavelength =

### Calculate the exact reflection and transmission coefficients

Calculate the exact reflection and transmission coefficients, without assuming mu1=mu2=mu0. Confirm that R +T = 1. I have assembled the equations I think I need and I have been supplied the answer at the bottom. I am having trouble bringing it all together.

### shif distance of the refraction beam

A beam of light (from a laser) hits a transparent piece of glass of refractive index N and thickness t, at an angle theta with respect to the normal as shown in the figure. The light ray emerges from the glass parallel to the initial direction but shifted a distance sideways X. If theta = 45 degrees, N = 1.5, and the thickness

### Optical Waves

See attached file for full problem description. Question 5.2 A ray of light is coming from an object O at the bottom of a swimming pool i) calculate the angle of incidence in water ii) and the angle of refraction in ar iii) Draw a sketch showing the path of this ray iv) calculate the critical angle v) and draw the path o

### 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 refraction

### Index of Refraction of Glass

Light in air strikes a glass plate at an angle of 60 degrees. Part of the beam is reflected and part refracted. A measurement shows that the angle between the reflected and refracted beams is 90 degrees with each other. What is the index of refraction of the glass?

### Working with Total Internal Reflection - Critical Angle

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.

### Reflection plane mirror: Mirror is rotated.

A ray of light strikes a mirror and is reflected so that the angle between the incident and the reflected beam is 30^o. (a) If the mirror is rotated to increase the angle of incidence by 1^o, what will be the new angle between the incident and the reflected beam? (b) If, instead, the mirror is moved to decrease the angle of inci

### 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

### The Refraction of Light in a glass paperweight

See diagram in attached file. A glass paperweight with an index of refraction n rests on a desk, as shown in Figure 26-49. An incident ray of light enters the horizontal top surface of the paperweight at an angle = 63° to the vertical. Figure 26-49 (a) Find the minimum value of n for which the internal reflection on

### 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 of critical angle versus refractive index

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)

### Polarization of light on reflection

At what angle of incidence will the light reflected from water be completely polarized? Does this angle depend on the wavelength of the light? Why?

### 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

### Resolving Power

1) Late one night on a highway, a car speeds by you and fades into the distance. Under these conditions the pupils of your eyes (average refractive index = 1.36) have diameters of about 7.0 mm. The taillights of this car are separated by a distance of 1.5 m and emit red light (wavelength = 660 nm in vacuum). How far away from yo

### Diamonds

The index of refraction of a diamond is 2.42. this means that a given wavelenght of light travels: 2.42 times faster in a vacuum than it does in a diamond? 2.42 times faster in a diamond than it does in a vacuum? 2.42 times faster in ad imand than it does in air? 2.42 times faster in air than it does in a diamond?

### Index of refraction problem

A beam of white light in air is incident on a diamond, with an angle of incidence of 45 deg. Calculate the angle at which red light is transmitted in the diamond when n=2.410 for a diamond. Calculate the same for deep blue light when n= 2.45 for a diamond. What is the angle from red to deep blue, into which white light is spread