University Physics Volume 3
17th Edition
ISBN: 9781938168185
Author: William Moebs, Jeff Sanny
Publisher: OpenStax
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Textbook Question
Chapter 2, Problem 74P
For normal distant vision, the eye has a power of 50.0 D. What was the previous far point of a patient who had laser vision correction that reduced the power of her eye by 7.00 D, producing normal distant vision?
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For "normal" vision, a healthy near-point is 25 cm and a healthy far-point is o.
Your mom has a far-point of 99 cm.
(a) Is your mom considered near-sighted or far-sighted? near-sighted e
(b) Your mom wears glasses to correct her vision that sit 2.01 cm from her eye. How far from the lenses do her glasses form an image?
cm
(c) What is your mom's prescription number in Diopters? Depending on whether your mom is far-sighted or near-sighted, the placement of the object her glasses help her focus on is different. Glasses
always to work to make the eye "normal", allowing people to see objects at the healthy near- or far-points. Report your answer with the correct sign (±)
P =
(d) Does your mom require a converging lens or a diverging lens?
For "normal" vision, a healthy near-point is 25 cm and a healthy far-point is o,
Your mom has a near-point of 100 cm.
(a) Is your mom considered near-sighted or far-sighted? far-sighted
(b) Your mom wears glasses to correct her vision that sit 1.82 cm from her eye. How far from the lenses do her glasses form an image?
cm
(c) What is your mom's prescription number in Diopters? Depending on whether your mom is far-sighted or near-sighted, the placement of the object her glasses help her
focus on is different. Glasses always to work to make the eye "normal", allowing people to see objects at the healthy near- or far-points. Report your answer with the correct
sign (±)
P =
(d) Does your mom require a converging lens or a diverging lens? converging v
A person’s prescription for bifocals is –0.139 diopter for distant vision and +3.78 diopters for near vision, the near vision being accomplished by inserts into the distant vision lens. What is the net power of the near vision correction?
Chapter 2 Solutions
University Physics Volume 3
Ch. 2 - What are the differences between real and virtual...Ch. 2 - Can you see a virtual image? Explain your...Ch. 2 - Can you photograph a virtual image?Ch. 2 - Can you project a virtual image onto a screen?Ch. 2 - Is it necessary to project a real image onto a...Ch. 2 - Devise an arrangement of mirrors allowing you to...Ch. 2 - If you wish to see your entire body in a flat...Ch. 2 - At what distance is an image always located: at...Ch. 2 - Under what circumstances will an image be located...Ch. 2 - What is meant by a negative magnification? What is...
Ch. 2 - Can an image be larger than the object even though...Ch. 2 - Derive the formula for the apparent depth of a...Ch. 2 - Use a ruler and a protractor to find the image by...Ch. 2 - You can argue that a that piece of glass, such as...Ch. 2 - When you focus a camera, you adjust the distance...Ch. 2 - A thin lens has two focal points, one on either...Ch. 2 - Will the focal length of a lens change when it is...Ch. 2 - If the lens of a person’s eye is removed because...Ch. 2 - When laser light is shone into a relaxed...Ch. 2 - Why is your vision so blurry when you open your...Ch. 2 - It has become common to replace the...Ch. 2 - If the cornea is to be reshaped (this can be done...Ch. 2 - Geometric optics describes the interaction of...Ch. 2 - The image produced by the microscope in Figure...Ch. 2 - If you want your microscope or telescope to...Ch. 2 - Consider a pair of flat mirrors that are...Ch. 2 - Consider a pair of flat mirrors that are...Ch. 2 - By using more than one flat mirror, construct a...Ch. 2 - The following figure shows a light bulb between...Ch. 2 - Why are diverging mirrors often used for rearview...Ch. 2 - Some telephoto cameras use a mirror rather than a...Ch. 2 - Calculate the focal length of a mirror formed by...Ch. 2 - Electric room heaters use a concave mirror to...Ch. 2 - Find the magnification of the heater element in...Ch. 2 - What is the focal length of a makeup mirror that...Ch. 2 - A shopper standing 3.00 m from a convex security...Ch. 2 - An object 1.50 cm high is held 3.00 cm from a...Ch. 2 - Ray tracing for a flat mirror shows that the image...Ch. 2 - Show that, for a flat mirror, hi=ho, given that...Ch. 2 - Use the law of reflection to prove that the focal...Ch. 2 - Referring to the electric room heater considered...Ch. 2 - Two mirrors are inclined at an angle of 60 ° and...Ch. 2 - Two parallel mirrors are facing each other and are...Ch. 2 - An object is located in air 30 cm from the vertex...Ch. 2 - An object is located in air 30 cm from the vertex...Ch. 2 - An object is located in water 15 cm from the...Ch. 2 - An object is located in water 30 cm from the...Ch. 2 - An object is located in air 5 cm from the vertex...Ch. 2 - Derive the spherical interface equation for...Ch. 2 - How far from the lens must the film in a camera...Ch. 2 - A certain slide projector has a 100 mm-focal...Ch. 2 - A doctor examines a mole with a 15.0-cm focal...Ch. 2 - A camera with a 50.0-mm focal length lens is being...Ch. 2 - A camera lens used for taking close-up photographs...Ch. 2 - Suppose your 50.0 mm-focal length camera lens is...Ch. 2 - What is the focal length of a magnifying glass...Ch. 2 - The magnification of a book held 7.50 cm from a...Ch. 2 - Suppose a 200 mm-focal length telephoto lens is...Ch. 2 - A camera with a 100 mm-focal length lens is used...Ch. 2 - Use the thin—lens equation to show that the...Ch. 2 - An object of height 3.0 cm is placed 5.0 cm in...Ch. 2 - An object of height 3.0 cm is placed at 5.0 cm in...Ch. 2 - Au object of height 3.0 cm is placed at 25 cm in...Ch. 2 - Two convex lenses of focal lengths 20 cm and 10 cm...Ch. 2 - What is the power of the eye when viewing an...Ch. 2 - Calculate the power of the eye when viewing an...Ch. 2 - The print in many books averages 3.50 mm in...Ch. 2 - Suppose a certain person’s visual acuity is such...Ch. 2 - People who do very detailed work close up, such as...Ch. 2 - What is the far point of a person whose eyes have...Ch. 2 - What is the near point of a person whose eyes have...Ch. 2 - (a) A laser reshaping the cornea of a myopic...Ch. 2 - The power for normal close vision is 54.0 D. In a...Ch. 2 - For normal distant vision, the eye has a power of...Ch. 2 - The power for normal distant vision is 50.0 D. A...Ch. 2 - A student’s eyes, while reading the blackboard,...Ch. 2 - The power of a physician’s eyes is 53.0 D while...Ch. 2 - The normal power for distant vision is 50.0 D. A...Ch. 2 - The far point of a myopic administrator is 50.0...Ch. 2 - A very myopic man has a far point of 20.0 cm. What...Ch. 2 - Repeat the previous problem for eyeglasses held...Ch. 2 - A myopic person sees that her contact lens...Ch. 2 - Repeat the previous problem for glasses that are...Ch. 2 - The contact lens prescription for a mildly...Ch. 2 - If the image formed on the retina subtends an...Ch. 2 - What is the magnification of a magnifying lens...Ch. 2 - How far should you hold a 2.1 cm-focal length...Ch. 2 - You hold a 5.0 cm-focal length magnifying glass as...Ch. 2 - You view a mountain with a magnifying glass of...Ch. 2 - You view an object by holding a 2.5 cm-focal...Ch. 2 - A magnifying glass forms an image 10 cm on the...Ch. 2 - An object viewed with the naked eye subtends a 2°...Ch. 2 - For a normal, relaxed eye, a magnifying glass...Ch. 2 - What range of magnification is possible with a 7.0...Ch. 2 - A magnifying glass produces an angular...Ch. 2 - A microscope with an overall magnification of 800...Ch. 2 - (a) What magnification is produced by a 0.150...Ch. 2 - Where does an object need to be placed relative to...Ch. 2 - An amoeba is 0.305 cm away from the 0.300 cm-...Ch. 2 - Unreasonable Results Your friends show you an...Ch. 2 - What is the angular magnification of a telescope...Ch. 2 - Find the distance between the objective and...Ch. 2 - A large reflecting telescope has an objective...Ch. 2 - A small telescope has a concave mirror with a...Ch. 2 - A 7.5 binocular produces an angular magnification...Ch. 2 - Construct Your Own Problem Consider a telescope of...Ch. 2 - Trace rays to find which way the given ray will...Ch. 2 - Copy and draw rays to find the final image in the...Ch. 2 - A concave mirror of radius of curvature 10 cm is...Ch. 2 - An object of height 3 cm is placed at 25 cm in...Ch. 2 - An object of height 3 cm is placed at a distance...Ch. 2 - An object of height 2 cm is placed at 50 cm in...Ch. 2 - Two concave mirrors are placed facing each other....Ch. 2 - A lamp of height S cm is placed 40 cm in front of...Ch. 2 - Parallel rays from a faraway source strike a...Ch. 2 - Parallel rays from a faraway source strike a...Ch. 2 - A light bulb is placed 10 cm from a plane mirror,...Ch. 2 - A point source of light is 50 cm in front of a...Ch. 2 - Copy and trace to find how a horizontal ray from S...Ch. 2 - Copy and trace how a horizontal ray from S comes...Ch. 2 - Copy and draw rays to figure out the final image.Ch. 2 - By ray tracing or by calculation, find the place...Ch. 2 - A diverging lens has a focal length of 20 cm. What...Ch. 2 - Two lenses of focal lengths of f1and f2are glued...Ch. 2 - What will be the angular magnification of a convex...Ch. 2 - What will be the formula for the angular...Ch. 2 - Use a ruler and a protractor to draw rays to find...Ch. 2 - Where should a 3 cm tall object be placed in front...Ch. 2 - A 3 cm tall object is placed 5 cm in front of a...Ch. 2 - You are looking for a mirror so that you can see a...Ch. 2 - Derive the following equation for a convex mirror:...Ch. 2 - (a) Draw rays to form the image of a vertical...Ch. 2 - Use another ray-tracing diagram for the same...Ch. 2 - You photograph a 2.0-m-tall person with a camera...Ch. 2 - Find the focal length of a thin plano-convex lens....Ch. 2 - Find the focal length of a meniscus lens with...Ch. 2 - A nearsighted man cannot see objects clearly...Ch. 2 - A mother sees that her child’s contact lens...Ch. 2 - Repeat the previous problem for glasses that are...Ch. 2 - The contact-lens prescription for a nearsighted...Ch. 2 - Unreasonable Results A boy has a near point of 50...Ch. 2 - Find the angular magnification of an image by a...Ch. 2 - Let objective and eyepiece of a compound...Ch. 2 - Draw rays to scale to locate the image at the...Ch. 2 - The objective and the eyepiece of a microscope...Ch. 2 - A far-sighted person has a near point of 100 cm....Ch. 2 - A near-sighted person has afar point of 80 cm. (a)...Ch. 2 - In a reflecting telescope the objective is a...Ch. 2 - Two stars that are 109km apart are viewed by a...Ch. 2 - What is the angular size of the Moon if viewed...Ch. 2 - An unknown planet at a distance of 1012 m from...
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- The accommodation limits for a nearsighted persons eyes are 18.0 cm and 80.0 cm. When he wears his glasses, he can see faraway objects clearly. At what minimum distance is he able to see objects clearly?arrow_forwardThe power for normal close vision is 54.0 D. In a vision-correction procedure, the power of a patient’s eye is increased by 3.00 D. Assuming that this produces normal close vision, what was the patient’s near point before the procedure?arrow_forwardA nearsighted man cannot see objects clearly beyond 20 cm from his eyes. How close must he stand to a mirror in order to see what he is doing when he shaves?arrow_forward
- Figure P26.72 shows a thin converging lens for which the radii of curvature of its surfaces have magnitudes of 9.00 cm and 11.0 cm. The lens is in front of a concave spherical mirror with the radius of curvature R = 8.00 cm. Assume the focal points F1 and F2 of the lens are 5.00 cm from the center of the lens. (a) Determine the index of refraction of the lens material. The lens and mirror are 20.0 cm apart, and an object is placed 8.00 cm to the left of the lens. Determine (b) the position of the final image and (c) its magnification as seen by the eye in the figure. (d) Is the final image inverted or upright? Explain.arrow_forwardThe contact-lens prescription for a nearsighted person is —4.00 D and the person has a far point of 22.5 cm. What is the power of the tear layer between the cornea and the lens if the correction is ideal, taking the tear layer into account?arrow_forwardThe power for normal distant vision is 50.0 D. A severely myopic patient has a far point of 5.00 cm. By how many diopters should the power of his eye be reduced in laser vision correction to obtain normal distant vision for him?arrow_forward
- A 7.5x binocular produces an angular magnification of 7.50, acting like a telescope. (Mirrors are used to make the image upright.) If the binoculars have objective lenses with a 75.0 cm focal length, what is the focal length of the eyepiece lenses?arrow_forwardTwo stars that are 109km apart are viewed by a telescope and found to be separated by an angle of 105 radians. If the eyepiece of the telescope has a focal length of 1.5 cm and the objective has a focal length of 3 meters, how far away are the stars from the observer?arrow_forwardIt has become common to replace the cataract-clouded lens of the eye with an internal lens. This intraocular lens can be chosen so that the person has perfect distant vision. Will the person be able to read without glasses? If the person was nearsighted, is the power of the intraocular lens greater or less than the removed lens?arrow_forward
- The normal power for distant vision is 50.0 D. A young woman with normal distant vision has a 10.0% ability to accommodate (that is, increase) the power of her eyes. What is the closest object she can see clearly?arrow_forwardFigure P38.43 shows a concave meniscus lens. If |r1| = 8.50 cm and |r2| = 6.50 cm, find the focal length and determine whether the lens is converging or diverging. The lens is made of glass with index of refraction n = 1.55. CHECK and THINK: How do your answers change if the object is placed on the right side of the lens? FIGURE P38.43arrow_forwardA 7.5 binocular produces an angular magnification of —7.50, acting like a telescope. (Mirrors are used to make the image upright.) If the binoculars have objective lenses with a 75.0-cm focal length, what is the focal length of the eyepiece lenses?arrow_forward
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