A light beam passing from medium 2 to medium 1 is refracted as shown in FIGURE Q34.4. Is n1 larger than n2, is n1smaller than n2, or is there not enough information to tell? Explain
The light is refracted as n1 is smaller than n2
Snell's Law: It relates the refraction angle to the incident angle and the indexes of refraction of the incident medium n1and the refracted medium n2:
Angles of incidence and refraction are measured with respect to the normal line at the point where the ray intersects the interface between the two media. Medium 2 is more optically dense (has a higher refractive index) than medium 1 if the refracted ray is closer to the normal than the incident ray. In the same plane are the incident ray, refracted ray, and normal line.
The index of refraction of medium 1 is: n1
The index of refraction of medium 2 is:n2
We are asked to determine if n1 is larger than n2, n1 smaller than n2, or if there is not enough information to tell.
Let be the angle of the light ray with the normal to the surface of the medium and be the angle of the light ray with the normal the surface of the medium. Using this notation, we clearly see in the given figure that which also means that .
Hence, if must be smaller than n2
A tall object is in front of a diverging lens that has a focal length.
Use ray tracing to find the position and height of the image. To do this accurately, use a ruler or paper with a grid. Determine the image distance and image height by making measurements on your diagram. Calculate the image position and height. Compare with your ray-tracing answers in part .
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