* A thin, converging lens whose foca 5.0 m from a convex spherical mirror whose focal length is - 50 cm (Fig. P24.99). For an object placed 1.0 m to the left of the lens, determine (a) the location of the image formed by the mirror, (b) the magnification of the image, and (c) the nature of the image (real/virtual, upright/inverted, enlarged/reduced). umod by the lens as the object for the

* A thin, converging lens whose foca 5.0 m from a convex spherical mirror whose focal length is - 50 cm (Fig. P24.99). For an object placed 1.0 m to the left of the lens, determine (a) the location of the image formed by the mirror, (b) the magnification of the image, and (c) the nature of the image (real/virtual, upright/inverted, enlarged/reduced). umod by the lens as the object for the

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter23: Mirrors And Lenses

Section: Chapter Questions

Problem 51AP: The lens and the mirror in figure P23.51 are separated by 1.00 m and have focal lengths of +80.0 cm...

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Suppose you want to use a converging lens to project the image of two trees onto a screen. One tree is a distance x from the lens; the other is at 2%, as in Figure CQ23.7. You adjust the screen so that the near tree is in focus. If you now want the far tree to be in focus, do you move the screen toward or away from the lens? Figure CQ23.7
A jewelers lens of focal length 5.0 cm is used as a magnifier. With the lens held near the eye, determine (a) the angular magnification when the object is at the focal point of the lens and (b) the angular magnification when the image formed by the lens is at the near point of the eye (25 cm). (c) What is the object distance giving the maximum magnification?
An object is placed 15.0 cm from a first converging lens of focal length 10.0 cm. A second converging lens with focal length .5.00 cm is placed 10.0 cm to the right of the first converging lens. (a) Find the position q1 of the image formed by the First converging lens. (b) How fat from the second lens is the image of the first lens? (c) What is the value of p2, the object position for the second lens? (d) Find the position q2 of the image formed by the second lens. (e) Calculate the magnification of the first lens (f) Calculate the magnification of the second lens. (g) What is the total magnification for the system? (h) Is the final image real or virtual? Is it upright or inverted (compared to the original object for the lens system)?
An object is placed 15.0 cm from a first converging lens of focal length 10.0 cm. A second converging lens with focal length .5.00 cm is placed 10.0 cm to the right of the first converging lens. (a) Find the position q1 of the image formed by the First converging lens. (b) How fat from the second lens is the image of the first lens? (c) What is the value of p2, the object position for the second lens? (d) Find the position q2 of the image formed by the second lens. (e) Calculate the magnification of the first lens (f) Calculate the magnification of the second lens. (g) What is the total magnification for the system? (h) Is the final image real or virtual? Is it upright or inverted (compared to the original object for the lens system)?
In many applications, it is necessary to expand or decrease the diameter of a beam of parallel rays of light, which can be accomplished by using a converging lens and a diverging lens in combination. Suppose you have a converging lens of focal length 21.0 cm and a diverging lens of focal length 12.0 cm. (a) How can you arrange these lenses to increase the diameter of a beam of parallel rays? (b) By what factor will the diameter increase?
A person sees clearly wearing eyeglasses that have a power of -4.00 diopters when the lenses are 2.00 cm in front of the eyes. (a) What is the focal length of the lens? (b) Is the person nearsighted or farsighted? (c) If the person wants to switch to contact lenses placed directly on the eyes, what lens power should be prescribed?
A person with a nearsighted eye has near and far points of 16 cm and 25 cm, respectively. (a) Assuming a lens is placed 2.0 cm from the eye, what power must the lens have to correct this condition? (b) Suppose contact lenses placed directly on the cornea are used to correct the person's eyesight. What is the power of the lens required in this case, and what is the new near point? Hint: The contact lens and the eyeglass lens require slightly different powers because they are at different distances from the eye.
Two lenses made of kinds of glass having different indices of refraction n1 and n2 are cemented together to form an optical doublet. Optical doublets are often used to correct chromatic aberrations in optical devices. The first lens of a certain doublet has index of refraction n1, one flat side, and one concave side with a radius of curvature of magnitude R. The second lens has index of refraction n2 and two convex sides with radii of curvature also of magnitude R. Show that the doublet can be modeled as a single thin lens with a focal length described by 1f=2n2n11R
A particular nearsighted patient cant see objects clearly beyond 15.0 cm from their eye. Determine (a) the lens power required to correct the patients vision and (b) the type of lens required (converging or diverging). Neglect the distance between the eye and the corrective lens.
A dedicated sports car enthusiast polishes the inside outside surfaces of a hubcap that is a thin section of a sphere. When she looks into one side of the hubcap. she sees an image of her face 30.0 cm in back of the hubcap. She then flips the hubcap over and sees another image of her face 10.0 cm in back of the hubcap. (a) How far is her face from the hubcap? (b) What is the radius of curvature of the hubcap?