A -tall diver is standing completely submerged on the bottom of a swimming pool full of water. You are sitting on the end of the diving board, almost directly over her. How tall does the diver appear to be?
The diver appear to be
Refraction from either a datum plane can create a picture. For dispersion with such a surface, the object and image distances are linked by
The negative line shows that we would be dealing with a virtual image. is the reflectance of the object's medium, is the absorption coefficient of the writer's medium, and proximity The object distance, and the image distance are measured as from threshold.
We've been tasked with determining the diver's apparent height in relation to you.
Equation combines the considerable distance of the dolphin's neck but also its picture here to viewer's eyes.
Equation compares the sort of barrier between it diver's legs to their picture in the eyes of the observer.
The difference between the visual distance of his face and his toes dictates the diver's apparent height. So
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 Snell’s 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. There’s one value of x for which the light travels from A to B in the shortest possible time. We’ll call it . Write an expression (but don’t try to solve it!) from which could be found.
C. Now, by using the geometry of the figure, derive Snell’s law from your answer to part b.
You’ve proven that Snell’s law is equivalent to the statement that “light traveling between two points follows the path that requires the shortest time.” This interesting way of thinking about refraction is called Fermat’s principle.
There’s 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 prism’s apex angle and index of refraction .
b. A laboratory measurement finds that = 52.2° for a prism shaped like an equilateral triangle. What is the prism’s index of refraction?
You are looking at the image of a pencil in a mirror, as shown in FIGURE Q34.2.
a. What happens to the image if the top half of the mirror, down to the midpoint, is covered with a piece of cardboard? Explain.
b. What happens to the image if the bottom half of the mirror is covered with a piece of cardboard? Explain.
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