5) A diamond (n=2.4) is embedded in a large glass (n=1.57) cube. Light is incident on the diamond at an angle of 25 degrees with respect to the normal to the diamond surface. What is the angle taken by the light in the diamond? Be explicit about your coordinate system and/or orientation.
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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…A paperweight is made of a solid glass hemisphere of index of refraction 1.54. The radius of the circular cross section is 4.45 cm. The hemisphere is placed on its flat surface, with the center directly over a 1.90 mm long line drawn on a sheet of раper. a. What is the image distance (with the correct sign)? cm b. What is the magnification of the image? c. What length of line is seen by someone looking vertically down on the hemisphere? mmA1. As shown in Figure A1, a light ray is incident normal to one face of a 30°-60°-90° prism (n = 1.50) that is immersed in water (n = 1.33). Determine the exit angle 03. (a) Determine the exit angle 03. (b) Determine the critical angle for the prism-water system. n2 60.0° n1 Figure Al 021 30.0% D 103
- In order to identify an unknown material you are asked to solve for the critical angle of the material. In order to test this you set up a beam of light that strikes the unknown substance from air (n = 1.0) at an angle of 30° with respect to the normal. It continues on in the substance at an angle of 23° with respect to the normal. What is the critical angle for the unknown substance? 51° 55° 60° 63°A goldfish is swimming inside a spherical bowl of water having an index of refraction n = 1.333. Suppose the goldfish is p = 10.7 cm from the wall of a bowl of radius |R| = 19.2 cm, as in the figure below. Neglecting the refraction of light caused by the wall of the bowl, determine the apparent distance of the goldfish from the wall according to an observer outside the bowl.cm behind the glassA beam of light is incident from a liquid on the surface of transparent solid. The angle of incidence is 30°and the angle of refraction is 18°. Draw clear physics diagram of the problem – one for each part of the problem (3 total). label relevant angles. Find the critical angle for this solid when it is surrounded by the liquid. What is the angle between the reflected and refracted rays when the angle of incidence is 3°less than the critical angle?
- You are using a transparent tube as an optical fiber in open air (n air=1.00) you have calculated that the critical angle for the fiber is 34.5. a) what is the index of refraction of your optical fiber? b)to make your fiber more durable, you encase it in a cladding with an index of refraction equal to 1.35. Will the beam be reflected into the fiber or will it leak into the cladding when the incident angle inside the fiber is 50.please answer$ 03 Problem 2: Light is incident on the face of a silica prism at an angle of 01 = 75° (with respect to the normal to the surface). The apex angle of the prism is = 60°. Given: The value of the index of refraction for silica is n = 1.455. a) Find the angle of refraction at this first surface. b) Find the angle of incidence at the second surface. C) Find the angle of refraction at the second surface.