Concept explainers
A group of students is given two converging lenses. Lens A has a focal length of 12.5 cm, and lens B has a focal length of 50.0 cm. The diameter of each lens is 6.50 cm. The students are asked to construct a microscope from these lenses that has the same magnification as the telescope in Problem 80 if possible, and they have this discussion:
Avi: These are the same lenses we used to make a telescope. So they won’t work as a microscope. Microscopes are for looking at close objects; telescopes are for looking at far objects.
Cameron: All you need for a microscope are two converging lenses. I think the difference from a telescope is just that the order of the lenses is switched. A microscope is just a backward telescope.
Shannon: I think the order of the lenses doesn’t matter because the magnification is inversely proportional to both focal lengths. I think we have to adjust the distance between the lenses.
- a. What do you think?
- b. If a microscope can be constructed with these two lenses, describe its design. What is the minimum separation of the lenses? Where must you place the object?
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Physics for Scientists and Engineers: Foundations and Connections
- look at answer show all work step by steparrow_forwardLook at the answer and please show all work step by steparrow_forward3. As a woman, who's eyes are h = 1.5 m above the ground, looks down the road sees a tree with height H = 9.0 m. Below the tree is what appears to be a reflection of the tree. The observation of this apparent reflection gives the illusion of water on the roadway. This effect is commonly called a mirage. Use the results of questions 1 and 2 and the principle of ray reversibility to analyze the diagram below. Assume that light leaving the top of the tree bends toward the horizontal until it just grazes ground level. After that, the ray bends upward eventually reaching the woman's eyes. The woman interprets this incoming light as if it came from an image of the tree. Determine the size, H', of the image. (Answer 8.8 m) please show all work step by steparrow_forward
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