Chapter 34: 11. (page 989)
When you look at your reflection in the bowl of a spoon, it is upside down. Why?
A spoon bowl acts as a concave mirror
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An object is in front of a concave mirror with a focal length of . Use ray tracing to locate the image. Is the image upright or inverted?
A biologist keeps a specimen of his favorite beetle embedded in a cube of polystyrene plastic. The hapless bug appears to be within the plastic. What is the beetle's actual distance beneath the surface?
A -tall object is in front of a convex mirror that has a focal length. Calculate the position and height of the image. State whether the image is in front of or behind the mirror, and whether the image is upright or inverted.
Shows a light ray that travels from point A to point B. The ray crosses the boundary at position x, making angles and in the two media. Suppose that you did not know Snellโs law.
A. Write an expression for the time t it takes the light ray to travel from A to B. Your expression should be in terms of the distances a, b, and w; the variable x; and the indices of refraction n1 and n2
B. The time depends on x. Thereโs one value of x for which the light travels from A to B in the shortest possible time. Weโll call it . Write an expression (but donโt try to solve it!) from which could be found.
C. Now, by using the geometry of the figure, derive Snellโs law from your answer to part b.
Youโve proven that Snellโs law is equivalent to the statement that โlight traveling between two points follows the path that requires the shortest time.โ This interesting way of thinking about refraction is called Fermatโs principle.
Thereโs one angle of incidence onto a prism for which the light inside an isosceles prism travels parallel to the base and emerges at angle .
a. Find an expression for in terms of the prismโs apex angle and index of refraction .
b. A laboratory measurement finds that = 52.2ยฐ for a prism shaped like an equilateral triangle. What is the prismโs index of refraction?
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