Principles of Physics: A Calculus-Based Text
5th Edition
ISBN: 9781133104261
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 26, Problem 6P
To determine
Graphical representation of image positions.
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Physics Question is the attached image
Consider a convex lens having a thickness d whose sides have radii of curvature R1 and R2.
a. Find the 2x2 matrix describing this lensb. What is the change in focal length for the case where the two radii equal R and d =0.1R, compared to the case where the lens thickness is neglected?
As shown in the figure, a ray of light strikes a plane mirror with some incident angle. The mirror is now rotated by an angle of ? = 19.0° about an axis through the point where N1 contacts the mirror, without altering the incident ray. The new position is shown by the line M2.
(a) Determine the angle through which the reflected ray rotates if the incident angle is 40.0°.°
(b) Determine the angle through which the reflected ray rotates if the incident angle is 50.0°.°
Chapter 26 Solutions
Principles of Physics: A Calculus-Based Text
Ch. 26.1 - In the overhead view of Figure 26.4, the image of...Ch. 26.1 - Prob. 26.2QQCh. 26.2 - Prob. 26.3QQCh. 26.2 - Prob. 26.4QQCh. 26.4 - What is the focal length of a pane of window...Ch. 26.4 - Prob. 26.6QQCh. 26.5 - Prob. 26.7QQCh. 26 - Prob. 1OQCh. 26 - (i) When an image of an object is formed by a...Ch. 26 - Prob. 3OQ
Ch. 26 - (i) When an image of an object is formed by a...Ch. 26 - Prob. 5OQCh. 26 - If Joshs face is 30.0 cm in front of a concave...Ch. 26 - A converging lens made of crown glass has a focal...Ch. 26 - Two thin lenses of focal lengths f1 = 15.0 and f2...Ch. 26 - Lulu looks at her image in a makeup mirror. It is...Ch. 26 - Prob. 10OQCh. 26 - Prob. 11OQCh. 26 - Prob. 12OQCh. 26 - Prob. 1CQCh. 26 - Prob. 2CQCh. 26 - Prob. 3CQCh. 26 - Prob. 4CQCh. 26 - Prob. 5CQCh. 26 - Prob. 6CQCh. 26 - Suppose you want to use a converging lens to...Ch. 26 - Explain why a fish in a spherical goldfish bowl...Ch. 26 - Prob. 9CQCh. 26 - Prob. 10CQCh. 26 - Prob. 11CQCh. 26 - Prob. 12CQCh. 26 - Prob. 13CQCh. 26 - Prob. 14CQCh. 26 - Prob. 15CQCh. 26 - Prob. 1PCh. 26 - Prob. 2PCh. 26 - Prob. 3PCh. 26 - Prob. 4PCh. 26 - A person walks into a room that has two flat...Ch. 26 - Prob. 6PCh. 26 - Prob. 7PCh. 26 - Prob. 8PCh. 26 - A large hall in a museum has a niche in one wall....Ch. 26 - Prob. 10PCh. 26 - A concave spherical mirror has a radius of...Ch. 26 - Prob. 12PCh. 26 - Prob. 13PCh. 26 - (a) A concave spherical mirror forms an inverted...Ch. 26 - Prob. 15PCh. 26 - A concave mirror has a radius of curvature of 60.0...Ch. 26 - Prob. 17PCh. 26 - Prob. 18PCh. 26 - Prob. 19PCh. 26 - Prob. 20PCh. 26 - A dedicated sports car enthusiast polishes the...Ch. 26 - Prob. 22PCh. 26 - Prob. 23PCh. 26 - Prob. 24PCh. 26 - Prob. 25PCh. 26 - Prob. 26PCh. 26 - Prob. 27PCh. 26 - A goldfish is swimming at 2.00 cm/s toward the...Ch. 26 - Prob. 29PCh. 26 - Prob. 30PCh. 26 - Prob. 31PCh. 26 - A converging lens has a focal length of 20.0 cm....Ch. 26 - The left face of a biconvex lens has a radius of...Ch. 26 - Prob. 34PCh. 26 - Prob. 35PCh. 26 - The use of a lens in a certain situation is...Ch. 26 - Prob. 37PCh. 26 - In Figure P26.38, a thin converging lens of focal...Ch. 26 - Figure P26.39 diagrams a cross-section of a...Ch. 26 - Prob. 40PCh. 26 - Prob. 41PCh. 26 - An object is at a distance d to the left of a flat...Ch. 26 - Prob. 43PCh. 26 - A nearsighted person cannot see objects clearly...Ch. 26 - Prob. 45PCh. 26 - Prob. 46PCh. 26 - The accommodation limits for a nearsighted persons...Ch. 26 - Prob. 48PCh. 26 - Prob. 49PCh. 26 - Prob. 50PCh. 26 - Prob. 51PCh. 26 - Prob. 52PCh. 26 - Prob. 53PCh. 26 - Prob. 54PCh. 26 - Prob. 55PCh. 26 - Prob. 56PCh. 26 - Prob. 57PCh. 26 - Prob. 58PCh. 26 - Prob. 59PCh. 26 - Prob. 60PCh. 26 - Prob. 61PCh. 26 - Prob. 62PCh. 26 - Prob. 63PCh. 26 - Prob. 64PCh. 26 - Prob. 65PCh. 26 - Prob. 66PCh. 26 - The disk of the Sun subtends an angle of 0.533 at...Ch. 26 - Prob. 68PCh. 26 - Prob. 69PCh. 26 - Prob. 70PCh. 26 - Prob. 71PCh. 26 - Figure P26.72 shows a thin converging lens for...Ch. 26 - Prob. 73P
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- A convex mirror (f1 = −5.90 cm) and a concave mirror (f2 = 9.20 cm) are facing each other and are separated by a distance of 21.5 cm. An object is placed between the mirrors and is 10.8 cm from each mirror. Consider the light from the object that reflects first from the convex mirror and then from the concave mirror. What is the distance of the image (di2) produced by the concave mirror?arrow_forwardA concave mirror has the focal length equal to 0.491 m. To form a real image that is triple the size of the object on a screen, at what distance in front of the mirror should the screen be placed (in m; answer a positive number)?arrow_forwardChapter 34, Problem 007 A concave shaving mirror has a radius of curvature of +35.2 cm. It is positioned so that the (upright) image of a man's face is 2.29 times the size of the face. How far is the mirror from the face? Number Units Use correct number of significant digits; the tolerance is +/-2%arrow_forward
- A plane mirror and a concave mirror (f = 8.70 cm) are facing each other and are separated by a distance of 23.0 cm. An object is placed between the mirrors and is 11.5 cm from each mirror. Consider the light from the object that reflects first from the plane mirror and then from the concave mirror. Find the location of the image that this light produces in the concave mirror. Specify this distance relative to the concave mirror. Number i C Object F Unitsarrow_forwardThe equation connecting s, p, and f for a simple lens can be employed for spherical mirrors, too. A concave mirror with a focal length of 2 cm forms an image of a small object placed 10 cm in front of the mirror. If the mirror is used to form an image of the same object now located 18 cm in front of the mirror, what would the new image position be? (For spherical mirrors, positive p means the image is on the same side of the mirror as the object.) The image will be cm ---Select--- v the mirror. Assuming that the magnification equations developed for lenses also apply to mirrors, describe the image (magnitude of magnification and orientation) thus formed. |magnification|arrow_forwardA concave mirror has the focal length equal to 0.508 m. To form a real image that is triple the size of the object on a screen, at what distance in front of the mirror should the object be placed (in m; answer a positive number)?arrow_forward
- A plane mirror and a concave mirror (f = 7.70 cm) are facing each other and are separated by a distance of 21.0 cm. An object is placed between the mirrors and is 10.5 cm from each mirror. Consider the light from the object that reflects first from the plane mirror and then from the concave mirror. Find the location of the image that this light produces in the concave mirror. Specify this distance relative to the concave mirror. Number H с Units Object > Farrow_forwardYou have a concave spherical mirror (the same holds if you had a convex mirror) If the value of q (the distance from the image to the mirror along the principal axis of the mirror) is 0.92m and the distance of p (the distance from the object to the mirror along the principal axis of the mirror) is 3.79m, what is the focal length of the mirror? The magnification equation and the sign convention for q imply that real images of real objects are always inverted (if both p and q are positive, m is negative); virtual images of real objects are always upright (if p is positive and q is negative, m is positive). Keeping the signs of p and q straight in your mind is the most challenging aspect of mirrors (and lenses). Fortunately, table 23.2 summarizes when p and q are positive and when they are negative.arrow_forwardA plane mirror and a concave mirror (f = 7.50 cm) are facing each other and are separated by a distance of 17.0 cm. An object is placed between the mirrors and is 8.50 cm from each mirror. Consider the light from the object that reflects first from the plane mirror and then from the concave mirror. Find the location of the image that this light produces in the concave mirror. Specify this distance relative to the concave mirror. Number i Object (-²) Units ◄►arrow_forward
- Two plane mirrors make the angle a = 63.0° between them. A ray of light incident on one of the mirrors is reflected and it hits the second mirror. Find the angle between the ray incident on the first mirror and the ray reflected off of the second mirror. B =arrow_forwardYou have a concave spherical mirror (the same holds if you had a convex mirror) If the value of q(the distance from the image to the mirror along the principal axis of the mirror) is 1.45m and the distance of p (the distance from the object to the mirror along the principal axis of the mirror) is 4.11m, what is the focal length of the mirror? The magnification equation and the sign convention for q imply that real images of real objects are always inverted (if both p and q are positive, m is negative); virtual images of real objects are always upright (if p is positive and q is negative, m is positive). Keeping the signs of p and q straight in your mind is the most challenging aspect of mirrors (and lenses). Fortunately, table 23.2 summarizes when p and q are positive and when they are negative.arrow_forwardYou have a concave spherical mirror (the same holds if you had a convex mirror) If the value of q (the distance from the image to the mirror along the principal axis of the mirror) is 1.92m and the distance of p (the distance from the object to the mirror along the principal axis of the mirror) is 3.16m, what is the focal length of the mirror? The magnification equation and the sign convention for q imply that real images of real objects are always inverted (if both p and q are positive, m is negative); virtual images of real objects are always upright (if p is positive and q is negative, m is positive). Keeping the signs of p and q straight in your mind is the most challenging aspect of mirrors (and lenses). Fortunately, table 23.2 summarizes when p and q are positive and when they are negative.arrow_forward
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