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?
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?
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, 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.
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
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
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
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
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?
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.
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
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
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
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
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
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 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
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
The drawing shows an optical fiber that consists of a core made of flint glass(n flint= 1.667) surrounded by a cladding made of crown glass(n crown = 1.523). A beam of light enters the fiber from the air at an angle theta1 with respect to the normal. What is theta1 if the light strikes the core-cladding interface at the critic
A point source of light is submerged 2.2 m below the surface of a lake and emits rays in all directions. On the surface of the lake, directly above the source, the area illuminated is a circle. What is the maximum radius that this circle could have?
A laser beam enters one of the sloping faces of the equilateral glass prism (n=1.42) and refracts through the prism. Within the prism the light travel horizontally. What is the angle between the direction of the incident ray and the direction of the outgoing ray?
A horizontal beam of light enters a 45 degree-90 degree-45 degree prism at the center of its long side. The emerging ray moves in a direction that is 34 degrees below the horizontal. What is the index of refraction of this prism?
The angle of refraction for a ray of light traveling through an ice cube is 35 degrees, (a) now suppose the ice melts, but the angle of refraction remains the same, is the corresponding angle of incidence greater than, less than, or the same as it was for the ice? Explain. (b) Calculate the angle of incidence for part (a).
A beam of light falls from air onto a slab of transparent plastic at an angle of incidence of 45 degrees. The angle of refraction of the refracted ray in the plastic is 30 degrees. The refractive index of the plastic is: a. 1 b. 2 c. square root 2 d. 1/2
1) Does the law of reflection apply to microwaves when they strike a metallic plate? Explain. 2) Does the law of refraction apply to microwaves when they strike a prism? Does this produce constant values? Explain.
1. Calculate the minimum theoretical angle of resolution of a telescope 5.08m (200in.) in diameter for light of 550nm. 2. Two small street lights 2.00 m apart are photographed by a camera 30m away. The camera's 50-mm focal-length lens has an aperture of f/1.8. Can the two lamps be distinguished on the photograph? 3. Light
A transparent oil of index of refraction 1.29 spills on the surface of water (index of refraction 1.33), producing a maximum of reflection with normally incident violet light (wavelength 400 nm in air). Assuming the maximum occurs in the first order, determine the thickness of the oil slick.
1. A woman 168cm tall stands in front of a plane mirror attached to a vertical wall. What is the minimum length that the mirror must have for the woman to see her entire height? 2. Water in a fish tank is 38cm deep, and a coin rests on the bottom. How far below the surface does the coin appear to be when viewed from above? (A
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 1.4 m and emit red light (wavelength = 660 nm in vacuum). How far away from you i