College Physics
1st Edition
ISBN: 9781938168000
Author: Paul Peter Urone, Roger Hinrichs
Publisher: OpenStax College
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Chapter 25, Problem 57PE
What is the focal length of a makeup mirror that produces a magnification of 1.50 when a person’s face is 12.0 cm away? Explicitly show how you follow the steps in the Problem−Solving Strategy for Mirrors.
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Chapter 25 Solutions
College Physics
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In crown glass?Ch. 25 - Calculate the index of refraction for a medium in...Ch. 25 - In what substance in Table 25.1 is the speed of...Ch. 25 - There was a major collision of an asteroid with...Ch. 25 - A scuba diver training in a pool looks at his...Ch. 25 - Components of some computers communicate with each...Ch. 25 - (a) Using information in Figure 25.53, find the...Ch. 25 - Suppose you have an unknown clear substance...Ch. 25 - On the Moon’s surface, lunar astronauts placed a...Ch. 25 - Suppose Figure 25.54 represents a ray of light...Ch. 25 - Figure 25.54 shows a ray of light passing from one...Ch. 25 - Unreasonable Results Suppose light travels from...Ch. 25 - Construct Your Own Problem Consider sunlight...Ch. 25 - Unreasonable Results Light traveling from water to...Ch. 25 - Verify that the critical angle for light going...Ch. 25 - (a) At the end of Example 25.4, it was stated that...Ch. 25 - An optical fiber uses flint glass clad with crown...Ch. 25 - At what minimum angle will you get total internal...Ch. 25 - Suppose you are using total internal reflection to...Ch. 25 - You can determine me index of refraction of a...Ch. 25 - A ray of light, emitted beneath the surface of an...Ch. 25 - A light ray entering an optical fiber surrounded...Ch. 25 - (a) What is me ratio of the speed of red light to...Ch. 25 - A beam of white light goes from air into water at...Ch. 25 - By how much do the critical angles for red (660...Ch. 25 - (a) A narrow beam of light containing yellow (580...Ch. 25 - A parallel beam of light containing orange (610...Ch. 25 - A ray of 610 nm light goes from air into fused...Ch. 25 - A narrow beam of light containing red (660 nm) and...Ch. 25 - A narrow beam of white light enters a prism made...Ch. 25 - What is the power in diopters at a camera lens...Ch. 25 - Your camera's zoom lens has an adjustable focal...Ch. 25 - What is the focal length of 1.75 D reading glasses...Ch. 25 - You note that your prescription for new eyeglasses...Ch. 25 - How far from the lens must the film in a camera...Ch. 25 - A certain slide projector has a 100 mm focal...Ch. 25 - A doctor examines a mole with a 15.0 cm focal...Ch. 25 - How far from a piece of paper must you hold your...Ch. 25 - A camera with a 50.0 mm focal length lens is being...Ch. 25 - A camera lens used for taking close-up photographs...Ch. 25 - Suppose your 50.00 mm local length camera lens is...Ch. 25 - (a) What is the focal length of a magnifying glass...Ch. 25 - What magnification will be produced by a lens of...Ch. 25 - In Example 25.7, the magnification of a book held...Ch. 25 - Suppose a 200 mm focal length telephoto lens is...Ch. 25 - A camera with a 100 mm focal length lens is used...Ch. 25 - Combine thin lens equations to show that the...Ch. 25 - What is the focal length of a makeup mirror that...Ch. 25 - Some telephoto cameras use a mirror rather than a...Ch. 25 - (a) Calculate the focal length of the mirror...Ch. 25 - Find the magnification of the heater element in...Ch. 25 - What is the focal length of a makeup mirror that...Ch. 25 - A shopper standing 3.00 m from a convex security...Ch. 25 - An object 1.50 cm high is held 3.00 cm from a...Ch. 25 - Ray tracing for a flat mirror shows that the image...Ch. 25 - Show that for a flat mirror hi= ho, knowing that...Ch. 25 - Use the law of reflection to prove that the focal...Ch. 25 - Referring to the electric room heater considered...Ch. 25 - Consider a 250-W heat lamp fixed to the ceiling in...
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- Use the law of reflection to prove that the focal length of a mirror is half its radius of curvature. That is, prove that f = R/2. Note this is true for a spherical mirror only if its diameter is small compared with its radius of curvature.arrow_forwardA lamp of height S cm is placed 40 cm in front of a converging lens of focal length 20 cm. There is a plane mirror 15 cm behind the lens. Where would you find the image when you look in the mirror?arrow_forwardWhat is the focal length of a makeup mirror that produces a magnification of 1.50 when a person’s face is 12.0 cm away? Explicitly show how you follow the steps in the Problem-Solving Strategy: Spherical Mirrors.arrow_forward
- Suppose a man stands in front of a mirror as shown in Figure 25.50. His eyes are 1.65 m above the floor, and the top of his head is 0.13 m higher. Find the height above the floor of the top and bottom of the smallest mirror in which he can see both the top of his head and his feet. How is this distance related to the man’s height? Figure 25.50 A full-length mirror is one in which you can see all of yourself. It need not be as big as you, and its size is independent of your distance from it.arrow_forwardA converging lens made of crown glass has a focal length of 15.0 cm when used in air. If the lens is immersed in water, what is its focal length? (a) negative (b) less than 15.0 cm (c) equal to 15.0 cm (d) greater than 15.0 cm (e) none of those answersarrow_forwardThe left face of a biconvex lens has a radius of curvature of magnitude 12.0 cm, and the right face has a radius of curvature of magnitude 18.0 cm. The index of refraction of the glass is 1.44. (a) Calculate the focal length of the lens for light incident from the left. (b) What If? After the lens is turned around to interchange the radii of curvature of the two faces, calculate the focal length of the lens for light incident from the left.arrow_forward
- Show that the magnification of a thin lens is given by M = di/do (Eq. 38.6). Hint: Follow the derivation of the lens makers equation (page 1233) and start with a thick lens.arrow_forwardA converging lens has a focal length of 10.0 cm. Locate the object if a real image is located at a distance from the lens of (a) 20.0 cm and (b) 50.0 cm. What If? Redo the calculations if the images are virtual and located at a distance from the lens of (c) 20.0 cm and (d) 50.0 cm.arrow_forward(a) A concave spherical mirror forms ail inverted image different in size from the object by a factor a 1. I'he distance between object and image is d. Find the local length of the mirror, (b) What If? Suppose the mirror is convex, an upright image is formed, and a 1. Determine the focal length of the minor.arrow_forward
- If Joshs face is 30.0 cm in front of a concave shaving mirror creating an upright image 1.50 times as large as the object, what is the mirrors focal length? (a) 12.0 cm (b) 20.0 cm (c) 70.0 cm (d) 90.0 cm (e) none of those answersarrow_forwardAn object 1.50 cm high is held 3.00 cm from a person’s cornea, and its reflected image is measured to be 0.16? cm high. (a) What is the magnification? (b) Where is the image? (c) Find the radius of curvature of the convex mirror formed by the cornea. (Note that this technique is used by optometrists to measure the curvature of the cornea for contact lens ?tting. The instrument used is called a keratometer, or curve measurer.)arrow_forwardA microscope has an objective lens with a focal length of 16.22 mm and an eyepiece with a focal length of 9.50 mm. With the length of the barrel set at 29.0 cm, the diameter of a red blood cells image subtends an angle of 1.43 mrad with the eye. It the final image distance is 29.0 cm from the eyepiece, what is the actual diameter of the red blood cell? Hint: To solve this question, go back to basics and use the thin-lens equation.arrow_forward
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