Physics for Scientists and Engineers with Modern Physics
4th Edition
ISBN: 9780131495081
Author: Douglas C. Giancoli
Publisher: Addison-Wesley
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Textbook Question
Chapter 33, Problem 8Q
Compare the mirror equation with the thin lens equation. Discuss similarities and differences, especially the sign conventions for the quantities involved.
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Chapter 33 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 33.2 - If the leaf (object) of Example 332 is moved...Ch. 33.2 - Figure 3313 shows a converging lens held above...Ch. 33.4 - A Lucite planoconcave lens (sec Fig. 332b) has one...Ch. 33.6 - What power contact lens is needed for an eye to...Ch. 33.8 - A 40 telescope has a 1.2-cm focal length eyepiece....Ch. 33 - Where must the film be placed if a camera lens is...Ch. 33 - A photographer moves closer to his subject and...Ch. 33 - Can a diverging lens form a real image under any...Ch. 33 - Use ray diagrams to show that a real image formed...Ch. 33 - Light rays are said to be reversible. Is this...
Ch. 33 - Can real images be projected on a screen? Can...Ch. 33 - A thin converging lens is moved closer to a nearby...Ch. 33 - Compare the mirror equation with the thin lens...Ch. 33 - A lens is made of a material with an index of...Ch. 33 - Explain how you could have a virtual object.Ch. 33 - A dog with its tail in the air stands facing a...Ch. 33 - A cat with its tail in the air stands facing a...Ch. 33 - The thicker a double convex lens is in the center...Ch. 33 - Does the focal length of a lens depend on the...Ch. 33 - An underwater lens consists of a carefully shaped...Ch. 33 - Consider two converging lenses separated by some...Ch. 33 - Will a nearsighted person who wears corrective...Ch. 33 - You can tell whether people are nearsighted or...Ch. 33 - The human eye is much like a camerayet, when a...Ch. 33 - In attempting to discern distant details, people...Ch. 33 - Is the image formed on the retina of the human eye...Ch. 33 - Reading glasses use converging lenses. A simple...Ch. 33 - Why must a camera lens be moved farther from the...Ch. 33 - Spherical aberration in a thin lens is minimized...Ch. 33 - Prob. 26QCh. 33 - (I) A sharp image is located 373 mm behind a...Ch. 33 - (I) Sunlight is observed to focus at a point 18.5...Ch. 33 - (a) What is the power of a 23.5-cin-focal-length...Ch. 33 - (II) A certain lens focuses an object 1.85m away...Ch. 33 - (II) A 105-mm-focal-length lens is used to focus...Ch. 33 - (II) A stamp collector uses a converging lens with...Ch. 33 - (II) It is desired to magnify reading material by...Ch. 33 - (II) A 8.00-D lens is held 12.5 cm from an ant...Ch. 33 - (II) An object is located 1.50 m from an 8.0-D...Ch. 33 - (II) (a) How far from a 50.0-mm-focal-length lens...Ch. 33 - (II) How far from a converging lens with a focal...Ch. 33 - (II) (a) A 2.80-cm-high insect is 1.30 m from a...Ch. 33 - (II) A bright object and a viewing screen are...Ch. 33 - (II) How far apart are an object and an image...Ch. 33 - (II) Show analytically that the image formed by a...Ch. 33 - (II) In a slide or movie projector, the film acts...Ch. 33 - (III) A bright object is placed on one side of a...Ch. 33 - (III) (a) Show that the lens equation can be...Ch. 33 - (II) A diverging lens with f = 33.5cm is placed...Ch. 33 - (II) Two 25.0-cm-focal-length converging lenses...Ch. 33 - (II) A 34.0-cm-focal-lenglh converging lens is...Ch. 33 - (II) The two converging lenses of Example 335 are...Ch. 33 - (II) A diverging lens with a focal length of 14 cm...Ch. 33 - (II) Two lenses, one converging with focal length...Ch. 33 - (II) A diverging lens is placed next to a...Ch. 33 - (II) A lighted candle is placed 36 cm in from of a...Ch. 33 - (I) A double concave lens has surface radii of...Ch. 33 - (I) Both surfaces of a double convex lens have...Ch. 33 - (I) Show that if the lens of Example 33-7 is...Ch. 33 - (I) A planoconvex lens (Fig. 33-2a) is to have a...Ch. 33 - (II) An object is placed 90.0cm from a glass lens...Ch. 33 - (II) A prescription for a corrective lens calls...Ch. 33 - (I) A properly exposed photograph is taken at f...Ch. 33 - (I) A television camera lens has a 17-cm focal...Ch. 33 - (II) Suppose that a correct exposure is 1250S at f...Ch. 33 - (II) A nature photographer wishes to photograph a...Ch. 33 - (I) A human eyeball is about 2.0 cm long and the...Ch. 33 - (II) A person struggles to read by holding a book...Ch. 33 - (II) Reading glasses of what power are needed for...Ch. 33 - (II) If the nearsighted person in Example 33-13...Ch. 33 - (II) An eye is corrected by a 4.50-D lens, 2.0cm...Ch. 33 - (II) A persons right eye can see objects clearly...Ch. 33 - (II) A person has a far point of 14 cm. What power...Ch. 33 - (II) One lens of a nearsighted persons eyeglasses...Ch. 33 - (II) What is the focal length of the eye lens...Ch. 33 - (II) A nearsighted person has near and far points...Ch. 33 - (II) The closely packed cones in the fovea of the...Ch. 33 - (II) What is the focal length of a magnifying...Ch. 33 - (II) What is the magnification of a lens used with...Ch. 33 - (II) A magnifier is rated at 3.0 for a normal eye...Ch. 33 - (II) Sherlock Holmes is using an...Ch. 33 - (II) A small insect is placed 5.85 cm from a...Ch. 33 - (II) A 3.40-mm-wide holt is viewed with a...Ch. 33 - (II) A magnifying glass with a focal length of...Ch. 33 - (II) A magnifying glass is rated at 3.0 for a...Ch. 33 - (II) A converging lens of focal length = 12 cm is...Ch. 33 - (I) What is the magnification of an astronomical...Ch. 33 - (I) The overall magnification of an astronomical...Ch. 33 - (II) A 7.0 binocular has 3.0-cm-focal-length...Ch. 33 - (II) An astronomical telescope has an objective...Ch. 33 - (II) An astronomical telescope has its two lenses...Ch. 33 - (II) A Galilean telescope adjusted for a relaxed...Ch. 33 - (II) What is the magnifying power of an...Ch. 33 - (II) The Moons image appears to be magnified 120...Ch. 33 - (II) A 120 astronomical telescope is adjusted for...Ch. 33 - (II) An astronomical telescope longer than about...Ch. 33 - (III)A reflecting telescope (Fig. 3338b) has a...Ch. 33 - (III) A 7.5 pair of binoculars has an objective...Ch. 33 - (I) A microscope uses an eyepiece with a focal...Ch. 33 - (I) A 680 microscope uses a 0.40-cm-focal-length...Ch. 33 - (I) A 17-cm-long microscope has an eyepiece with a...Ch. 33 - (II) A microscope has a 13.0 eyepiece and a 58.0...Ch. 33 - (II) Repeat Problem 75 assuming that the final...Ch. 33 - (II) A microscope has a 1.8-cm-focal-length...Ch. 33 - (II) The eyepiece or a compound microscope has a...Ch. 33 - (II) An inexpensive instructional lab microscope...Ch. 33 - (III) Given two 12-cm-focal-length lenses, you...Ch. 33 - (II) A planoconvex lens (Fig. 332a) has one nut...Ch. 33 - (II) An achromatic lens is made of two very thin...Ch. 33 - A 200-mm-focal-lcngth lens can be adjusted so that...Ch. 33 - If a 135-mm telephoto lens is designed to cover...Ch. 33 - For a camera equipped with a 58-mm-focal-length...Ch. 33 - Show that for objects very far away (assume...Ch. 33 - A small object is 25.0 cm from a diverging lens as...Ch. 33 - A converging lens with focal length of 13.0cm is...Ch. 33 - An astronomical telescope has a magnification of...Ch. 33 - (a) Show that if two thin lenses of focal lengths...Ch. 33 - How large is the image of the Sun on film used in...Ch. 33 - Two converging lenses are placed 30.0 cm apart....Ch. 33 - When an object is placed 60.0 cm from a certain...Ch. 33 - Figure 33-49 was taken from the NIST Laboratory...Ch. 33 - A movie star catches a reporter shooting pictures...Ch. 33 - As curly morning passed toward midday, and the...Ch. 33 - A child has a near point of 15 cm. What is the...Ch. 33 - A woman can see clearly with her right eye only...Ch. 33 - What is the magnifying power of a +4.0-D lens used...Ch. 33 - A physicist lost in the mountains tries to make a...Ch. 33 - A 50-year-old man uses +2.5-D lenses to read a...Ch. 33 - An object is moving toward a converging lens of...Ch. 33 - The objective lens and the eyepiece of a telescope...Ch. 33 - Two converging lenses, one with f = 4.0 cm and the...Ch. 33 - Sam purchases +3.50-D eyeglasses which correct his...Ch. 33 - The proper functioning of certain optical devices...Ch. 33 - In a science-fiction novel, an intelligent...Ch. 33 - A telephoto lens system obtains a large...
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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 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_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_forward
- Au object of height 3.0 cm is placed at 25 cm in front of a diverging lens of focal length 20 cm. Behind the diverging lens, there is a converging lens of focal length 20 cm. The distance between the lenses is 5.0 cm. Fluid the location and size of the final image.arrow_forwardShow 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_forwardWhy are diverging mirrors often used for rearview mirrors in vehicles? What is the main disadvantage of using such a mirror compared with a flat one?arrow_forward
- A convex mirror with a radius of curvature of 25.0 cm is used to form an image of an arrow that is 10.0 cm away from the mirror. If the arrow is 2.00 cm tall and inverted (pointing below the optical axis), what is the height of the arrows image?arrow_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_forwardThe disk of the Sun subtends an angle of 0.533 at the Earth. What are (a) the position and (b) the diameter of the solar image formed by a concave spherical mirror with a radius of curvature of magnitude 3.00 m?arrow_forward
- A diverging lens has a focal length of magnitude 20.0 cm. (a) Locate the image for object distances of (i) 40.0 cm, (ii) 20.0 cm, and (iii) 10.0 cm. For each case, state whether the image is (b) real or virtual and (c) upright or inverted.(d) For each case, find the magnification.arrow_forwardA 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.arrow_forwardTwo thin lenses of focal lengths f1 = 15.0 and f2 = 10.0 cm, respectively, are separated by 35.0 cm along a common axis. The f1 lens is located to the left of the f2 lens. An object is now placed 50.0 cm to the left of the f1 lens, and a final image due to light passing though both lenses forms. By what factor is the final image different in size from the object? (a) 0.600 (b) 1.20 (c) 2.40 (d) 3.60 (e) none of those answersarrow_forward
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