COLLEGE PHYSICS
2nd Edition
ISBN: 9781464196393
Author: Freedman
Publisher: MAC HIGHER
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Chapter 24, Problem 103QAP
To determine
The magnitude of the separation distance of the lens's focal length for blue and red light
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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.
Two rays traveling parallel to the principal axis strike a large plano-convex lens having a refractive index of 1.54. The convex face is spherical, with a radius of curvature of 21.6 cm, and the two rays are h1 = 0.300 cm and h2 = 6.90 cm from the principal axis. If we do not make the paraxial approximation, then these parallel rays will not actually cross the principal axis in exactly the same location (i.e., spherical aberration occurs).Calculate where ray 2 crosses the principal axis, measured relative to the lens's center of curvature.
Calculate the difference in the positions where the two rays cross the principal axis.
( show all your work.)Assuming the paraxial approximation (equivalent to saying h is small compared to R), find an algebraic formula for the focal length of this lens. Your answer should depend only on n and/or R.f = (Hand in your derivation of this formula, showing all your work
AC254-050-A from Thorlabs is a 50 mm focal length achromatic lens. You can use drawSurfaces twice to draw the lens. First call the function with surface 1 and surface 2 and then call it with surface 1 and surface 3. The overall drawing might look odd, but it doesn't matter. This lens is made up of N-BAF10 and SF10 glasses. Simulate the same three focal shift curves
Chapter 24 Solutions
COLLEGE PHYSICS
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- 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_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_forwardCan an image be larger than the object even though its magnification is negative? Explain.arrow_forward
- In 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_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_forwardWill the focal length of a lens change when it is submerged in water? Explain.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_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_forwardIn 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?arrow_forward
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