1. A ray of light is shone through the interface between two media. At a depth of 5 meters below the interface, the light ray has travelled 2 meters horizonally. If it had not been refracted, it would have travelled 3 meters horizonally at this depth. Find the ratio . Where n is the index of refraction of the material above the interface and ng is the index of refraction of the material below the interface. 2. Draw a raytrace diagram of an object and its reflected image in a convex mirror. 3. Using the same setup as in problem 1, find the critical angke for total internal reflection between medium 2 and medium 1.
1. A ray of light is shone through the interface between two media. At a depth of 5 meters below the interface, the light ray has travelled 2 meters horizonally. If it had not been refracted, it would have travelled 3 meters horizonally at this depth. Find the ratio . Where n is the index of refraction of the material above the interface and ng is the index of refraction of the material below the interface. 2. Draw a raytrace diagram of an object and its reflected image in a convex mirror. 3. Using the same setup as in problem 1, find the critical angke for total internal reflection between medium 2 and medium 1.
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Transcribed Image Text:**PHYS 2263 (Physics II) - Homework 4**
1. A ray of light is shone through the interface between two media. At a depth of 5 meters below the interface, the light ray has traveled 2 meters horizontally. If it had not been refracted, it would have traveled 3 meters horizontally at this depth. Find the ratio \( \frac{n_1}{n_2} \), where \( n_1 \) is the index of refraction of the material above the interface and \( n_2 \) is the index of refraction of the material below the interface.
2. Draw a raytrace diagram of an object and its reflected image in a convex mirror.
3. Using the same setup as in problem 1, find the critical angle for total internal reflection between medium 2 and medium 1.
4. An object is placed twice the focal distance from a concave mirror.
- (a) Find the magnification of the object.
- (b) Is the image upright or inverted?
- (c) Same as in part (a), except now the object is placed at half the focal distance from the mirror.
5. If a lens has radii of curvature \( R_1 = 1.1 \) meters and \( R_2 = 1.2 \) meters and a focal length of 10 centimeters, what is the index of refraction of the lens?
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