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Ch 34: Geometric Optics

Chapter 34, Problem 34

A thin lens with a focal length of 6.00 cm is used as a simple magnifier. (a) What angular magnification is obtainable with the lens if the object is at the focal point?

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Hi everyone in this practice problem, we're being asked to calculate the angular magnification of a magnifier. For this practice problem, we are inspecting a jule with a magnifier and the magnifier is built using a thin lens with a focal length of four centimeter. If the jule is placed at the focal length of the lens, we're being asked to determine the angular magnification of that magnifier assuming that our nearest point is 28 centimeter. The options given are a seven B, 14 C 32 and D 100 and 12. So the angular magnification for a simple magnifier is given by the equation of M equals to D near divided by F. In this case, F is the focal length and D near is the nearest point M is the angular magnification. And given in the problem statement, our near point or dear is 28 centimeter and our focal length or F is four centimeter. So therefore, we can substitute these two values into our M formula or our angular magnification formula to get that value. So dear is 28 centimeter and then F or focal length is four centimeter. And calculating this, we will get our angular magnification to be equals to seven. So seven will be the answer to this practice problem which will correspond to option A in our answer choices. So the angular magnification is going to equal to seven and that will be it for this video with option A being the answer that will be it for this video. If you guys still have any sort of confusion, please make sure to check out our other lesson videos on similar topics on our website. But other than that, thank you.
Related Practice
Textbook Question
BIO Ordinary Glasses. Ordinary glasses are worn in front of the eye and usually 2.0 cm in front of the eyeball. Suppose that the person in Exercise 34.52 prefers ordinary glasses to contact lenses. What focal length lenses are needed to correct his vision, and what is their power in diopters?
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Textbook Question
BIO A person can see clearly up close but cannot focus on objects beyond 75.0 cm. She opts for contact lenses to correct her vision. (a) Is she nearsighted or farsighted?
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Textbook Question
BIO A person can see clearly up close but cannot focus on objects beyond 75.0 cm. She opts for contact lenses to correct her vision. (c) What focal length contact lens is needed, and what is its power in diopters?
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Textbook Question
An object is 16.0 cm to the left of a lens. The lens forms an 36.0 cm to the right of the lens. (c) Draw a principal-ray diagram.
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Textbook Question
A Spherical Fish Bowl. A small tropical fish is at the center of a water-filled, spherical fish bowl 28.0 cm in diameter. (a) Find the apparent position and magnification of the fish to an observer outside the bowl. The effect of the thin walls of the bowl may be ignored.
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Textbook Question
The left end of a long glass rod 8.00 cm in diameter, with an index of refraction of 1.60, is ground and polished to a convex hemispherical surface with a radius of 4.00 cm. An object in the form of an arrow 1.50 mm tall, at right angles to the axis of the rod, is located on the axis 24.0 cm to the left of the vertex of the convex surface. Find the position and height of the of the arrow formed by paraxial rays incident on the convex surface. Is the erect or inverted?
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