One of the pieces of experimental apparatus involves a beam of light entering a transparent rod (see the figure below) of diameter d = 5.50 um and index of refraction n = 1.24, surrounded by air. d Your supervisor has given you the task of determining the cone of acceptance for the rod, which is the maximum angle 0max (in degrees) for which the light rays incident on the end of the rod are subject to total internal reflection along the walls of the rod.
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- Answer the following questions A. The critical angle for total internal reflection at a diamond-air interface is 25 degrees. Suppose the light falls at an angle to the normal. Then, total internal reflection will occur if the incident medium is: a) air and angle < 25 degrees b) air and angle > 25 degrees c) air and angle = 25 degrees d) diameter and angle > 25 degrees e) diamond and angle < 25 degrees B. A ray of light in water (index n1) hits its surface (with air) at a critical angle for total internal reflection. Now some oil (index n2) floats in the water. The angle between the ray in the oil and the normal is: note: sin -1 (1.00), it is read as the inverse sine of one. a) sin -1 (1/n1) b) sin -1 (1/n2) c) sin -1 (1.00) d) sin -1 (n1/n2) e) sin -1 (n2/n1) C. A ray of light passes obliquely (non-zero angle) through a glass plate that has parallel faces. The emerging ray: a) it leans more towards the normal than the incident ray b) is reflected internally toatl c) tilts…The indices of refraction for violet light (λ = 400 nm) and red light (λ = 700 nm) in diamond are 2.46 and 2.41, respectively. A ray of light traveling through air strikes the diamond surface at an angle of 51.0 to the normal. Part A Calculate the angular separation between these two colors of light in the refracted ray. Express your answer in degrees. Π ΑΣΦ Δθ = Submit Request Answer ?A laser beam shines along the surface of a block of transparent material. (See the figure .) Half of the beam goes straight to a detector, while the other half travels through the block and then hits the detector. The time delay between the arrival of the two light beams at the detector is 6.10 ns. Part A What is the index of refraction of this material? n = -- ΑΣΦ Submit Request Answer ? n = ? -2.50 m- Detector
- a. A ray of light enters a fiber optic cable with index of refraction n from air at an angle e as shown below. Let the angle 0 be 69°. For total internal reflection to occur at the cable-air interface, what must be the value of n? n = nair = 1 0 θα θα na. A ray of light enters a fiber optic cable with index of refraction n from air at an angle e as shown below. Let the angle 0 be 69°. For total internal reflection to occur at the cable-air interface, what must be the value of n? Dair - 1 n = Ꮎ θα ec nA beam of light is incident on a square piece of glass with side s = 10.0 cm and index of refraction 1.50. The angles are shown in the figure to scale (you can count the blocks to measure them if you don't have a protractor). Where does the beam exit the glass? Assume the glass is in air (n = 1.00).
- aAn engineer is carrying out an experiment to determine the index of refraction for a partially reflective material. To do this, she aims a narrow beam of light at a sample of this material, which has a smooth surface. She then varies the angle of incidence. (The incident beam is traveling through air.) The light that gets reflected by the sample is completely polarized when the angle of incidence is 59.5°. (a)What index of refraction describes the material? n = (b)If some of the incident light (at ?i = 59.5°) enters the material and travels below the surface, what is the angle of refraction (in degrees)?