Concept explainers
The possible value of its focal length and sketch the cross-sectional sketch of the lens.
Answer to Problem 87QAP
Explanation of Solution
Given:
Radius of curvature
Formula used:
Calculation:
Index of refraction:
Possible focal lengths assuming both radius of curvature are positive:
Possible focal length assuming both radius of curvature are negative:
Possible focal length assuming both radius of curvature is negative and other are positive:
If
If
If
Sketch:
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Chapter 24 Solutions
COLLEGE PHYSICS
- Can an image be larger than the object even though its magnification is negative? Explain.arrow_forwardA cataract-impaired lens in an eye may be surgically removed and replaced by a manufactured lens. The focal length required for the new lens is determined by the lens-lo-retina distance, which is measured by a sonar-like device, and by the requirement that the implant provide for correct distance vision. (a) If the distance from lens to retina is 22.4 mm, calculate the power of the implanted lens in diopters. (b) Since there is no accommodation and the implant allows for correct distance vision, a corrective lens for close work or reading must be used. Assume a reading distance of 33.0 cm, and calculate the power of the lens in the reading glasses.arrow_forwardThe 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_forward
- Two rays traveling parallel to the principal axis strike a large plano-convex lens having a refractive index of 1.60 (as shown). If the convex face is spherical, a ray near the edge does not pass through the focal point (spherical aberration occurs). Assume this face has a radius of curvatureof R = 20.0 cm and the two rays are at distances h1 = 0.500 cm and h2 = 12.0 cm from the principal axis. Find the difference Δx in the positions where each crosses the principal axis.arrow_forwardA clerk at the local grocery store wears glasses that make her eyes look smaller than they actually are. Is the clerk nearsighted or farsighted? Explain.arrow_forwardExample 23-9 : Image formed by a converging lens. What are (a) the position, and (b) the size, of the image of a 7.6-cm-high leaf placed 1.00 m from a +50.0-mm-focal-length camera lens?arrow_forward
- A cataract-impaired lens in an eye may be surgically removed and replaced by a manufactured lens. The focal length required for the new lens is determined by the lens-lo-retina distance, which is measured by a sonar-like device, and by the requirement that the implant provide for correct distance vision. (a) If the distance from lens to retina is 22.4 mm, calculate the power of the implanted lens in diopters. (b) Since there is no accommodation and the implant allows for correct distance vision, a corrective lens for close work or reading must be used. Assume a reading distance of 33.0 cm, and calculate the power of the lens in the reading glasses.arrow_forwardIn Example 25.7, the magnification of a book held 7.50 cm from a 10.0 cm focal length lens was found to be 3.00. (a) Find the magnification for the book when it is held 8.50 cm from the magnifier. (b) Do the same for when it is held 9.50 cm from the magnifier. (c) Comment on the trend in m as the object distance increases as in these two calculations.arrow_forwardConstruct Your Own Problem Consider a telescope of the type used by Galileo, having a convex objective and a concave eyepiece as illustrated in part (a) of Figure 2.40. Construct a problem in which you calculate the location and size of the image produced. Among the things to be considered are the focal lengths of the lenses and their relative placements as well as the size and location of the object. Verify that the angular magnification is greater than one. That is, the angle subtended at the eye by the image is greater than the angle subtended by the object.arrow_forward
- A laboratory (astronomical) telescope is used to view a scale that is 300 cm from the objective, which has a focal length of 20.0 cm; the eyepiece has a focal length of 2.00 cm. Calculate the angular magnification when the telescope is adjusted for minimum eyestrain. Note: The object is not at infinity, so the simple expression m = fo/fe is not sufficiently accurate for this problem. Also, assume small angles, so that tan = .arrow_forwardA laboratory (astronomical) telescope is used to view a scale that is 300 cm from the objective, which has a focal length of 20.0 cm; the eyepiece has a focal length of 2.00 cm. Calculate the angular magnification when the telescope is adjusted for minimum eyestrain. Note: The object is not at infinity, so the simple expression m = fo/fe is not sufficiently accurate for this problem. Also, assume small angles, so that tan = .arrow_forward(a) What is the focal length of a magnifying glass that produces a magnification of 3.00 when held 5.00 cm from an object such as a rare coin? (b) Calculate the power of the magnifier in diopters. (c) Discuss how this power compares to those for store-bought reading glasses (typically 1.0 to 4.0 D). Is the magnifier's power greater, and should it be?arrow_forward
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