Fundamentals of Physics Extended
10th Edition
ISBN: 9781118230725
Author: David Halliday, Robert Resnick, Jearl Walker
Publisher: Wiley, John & Sons, Incorporated
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Chapter 34, Problem 101P
SSM The formula 1/p + 1/i = 1/f is called the Gaussian form of the thin-lens formula. Another form of this formula, the Newtonian form, is obtained by considering the distance x from the object to the first focal point and the distance x′ from the second focal point to the image. Show that xx′ = f2 is the Newtonian form of the thin-lens formula.
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The formula 1/p + 1/i = 1/f is called the Gaussian form of the thin-lens formula. Another form of this formula, the Newtonian form, is obtained by considering the distance x from the object to the first focal point and the distance x from the second focal point to the image. Show that xx'= f 2 is the Newtonian form of the thin-lens formula.
Physics v
Q17
Choose the correct statement with
respect to the combination of lenses.
The combination of a convex lens and a
concave lens is a concave lens if the focal
0
length of the convex lens is less than that
of the concave lens.
The power of combining a concave lens
0
and convex lens is more than the power
of individual lenses.
The combination of a convex lens and
0
concave lens of equal focal length behave
as a glass slab.
All the above
A lens located in the y-z plane at x = 0 forms an image of an
arrow at x = x₂ = 101.3 cm. The tip of the object arrow is
located at (x,y) = (x₁, Y₁1) = (-49.9 cm, 5.32 cm). The index of
refraction of the lens is n = 1.49.
1) What is flens, the focal length of the lens? If the lens is converging flens is positive. It the lens is diverging, flens is
negative.
cm
Submit
2) What is y₂, the y-coordinate of the image of the tip of the arrow?
cm Submit
Virtual and upright
Virtual and inverted
(X₁,Y₁)
3) The lens is a plano-convex lens. What is Rens, the radius of curvature of the convex side of the lens?
cm Submit
X2
4) The object arrow is now moved to x = x1,new = -17.4 cm. What is X2,new, the new x-coordinate of the image of the
arrow?
cm Submit
5) Is the new image of the arrow real or virtual? Is it upright or inverted?
O Real and upright
Real and inverted
X
+
+
+
+
Chapter 34 Solutions
Fundamentals of Physics Extended
Ch. 34 - Figure 34-25 shows a fish and a fish stalker in...Ch. 34 - In Fig. 34-26, stick figure O stands in front of a...Ch. 34 - Figure 34-27 is an overhead view of a mirror maze...Ch. 34 - A penguin waddles along the central axis of a...Ch. 34 - When a T. rex pursues a jeep in the movie Jurassic...Ch. 34 - An object is placed against the center of a...Ch. 34 - The table details six variations of the basic...Ch. 34 - An object is placed against the center of a...Ch. 34 - Figure 34-30 shows four thin lenses, all of the...Ch. 34 - In Fig. 34-26, stick figure O stands in front of a...
Ch. 34 - Figure 34-31 shows a coordinate system in front of...Ch. 34 - You look through a camera towards an image of a...Ch. 34 - ILW A moth at about eye level is 10 cm in front of...Ch. 34 - In Fig. 34-32, an isotropic point source of light...Ch. 34 - Figure 34-33 shows an overhead view of a corridor...Ch. 34 - SSM WWW Figure 34-34 shows a small lightbulb...Ch. 34 - An object is moved along the central axis of a...Ch. 34 - A concave shaving mirror has a radius of curvature...Ch. 34 - An object is placed against the center of a...Ch. 34 - 9 through 16 GO 12 SSM 9, 11, 13 Spherical...Ch. 34 - 9 through 16 GO 12 SSM 9, 11, 13 Spherical...Ch. 34 - 9 through 16 GO 12 SSM 9, 11, 13 Spherical...Ch. 34 - 9 through 16 GO 12 SSM 9, 11, 13 Spherical...Ch. 34 - 9 through 16 GO 12 SSM 9, 11, 13 Spherical...Ch. 34 - 9 through 16 GO 12 SSM 9, 11, 13 Spherical...Ch. 34 - 9 through 16 GO 12 SSM 9, 11, 13 Spherical...Ch. 34 - 9 through 16 GO 12 SSM 9, 11, 13 Spherical...Ch. 34 - 17 through 29 GO 22 SSM 23, 29 More mirrors....Ch. 34 - 17 through 29 GO 22 SSM 23, 29 More mirrors....Ch. 34 - 17 through 29 GO 22 SSM 23, 29 More mirrors....Ch. 34 - 17 through 29 GO 22 SSM 23, 29 More mirrors....Ch. 34 - 17 through 29 GO 22 SSM 23, 29 More mirrors....Ch. 34 - 17 through 29 GO 22 SSM 23, 29 More mirrors....Ch. 34 - 17 through 29 GO 22 SSM 23, 29 More mirrors....Ch. 34 - 17 through 29 GO 22 SSM 23, 29 More mirrors....Ch. 34 - 17 through 29 GO 22 SSM 23, 29 More mirrors....Ch. 34 - 17 through 29 GO 22 SSM 23, 29 More mirrors....Ch. 34 - 17 through 29 GO 22 SSM 23, 29 More mirrors....Ch. 34 - 17 through 29 GO 22SSM 23, 29 More mirrors. Object...Ch. 34 - 17 through 29 GO 22 SSM 23, 29 More mirrors....Ch. 34 - GO Figure 34-37 gives the lateral magnification m...Ch. 34 - a A luminous point is moving at speed vo towards a...Ch. 34 - 32 through 38 GO 37, 38 SSM 33, 35 Spherical...Ch. 34 - 32 through 38 GO 37, 38 SSM 33, 35 Spherical...Ch. 34 - 32 through 38 GO 37, 38 SSM 33, 35 Spherical...Ch. 34 - 32 through 38 GO 37, 38 SSM 33, 35 Spherical...Ch. 34 - 32 through 38 GO 37, 38 SSM 33, 35 Spherical...Ch. 34 - 32 through 38 GO 37, 38 SSM 33, 35 Spherical...Ch. 34 - 32 through 38 GO 37, 38 SSM 33, 35 Spherical...Ch. 34 - In Fig. 34-38, a beam of parallel light rays from...Ch. 34 - A glass sphere has radius R = 5.0 cm and index of...Ch. 34 - A lens is made of glass having an index of...Ch. 34 - Figure 34-40 gives the lateral magnification m of...Ch. 34 - A movie camera with a single lens of focal length...Ch. 34 - An object is placed against the center of a thin...Ch. 34 - You produce an image of the Sun on a screen, using...Ch. 34 - An object is placed against the center of a thin...Ch. 34 - SSM WWW A double-convex lens is to be made of...Ch. 34 - An object is moved along the central axis of a...Ch. 34 - SSM An illuminated slide is held 44 cm from a...Ch. 34 - 50 through 57 GO 55, 57 SSM 53 Thin lenses. Object...Ch. 34 - 50 through 57 GO 55, 57 SSM 53 Thin lenses. Object...Ch. 34 - 50 through 57 GO 55, 57 SSM 53 Thin lenses. Object...Ch. 34 - 50 through 57 GO 55, 57 SSM 53 Thin lenses. Object...Ch. 34 - 50 through 57 GO 55, 57 SSM 53 Thin lenses. Object...Ch. 34 - 50 through 57 GO 55, 57 SSM 53 Thin lenses. Object...Ch. 34 - 50 through 57 GO 55, 57 SSM 53 Thin lenses. Object...Ch. 34 - 50 through 57 GO 55, 57 SSM 53 Thin lenses. Object...Ch. 34 - 58 through 67 GO 61 SSM 59 Lenses with given...Ch. 34 - 58 through 67 GO 61 SSM 59 Lenses with given...Ch. 34 - 58 through 67 GO 61 SSM 59 Lenses with given...Ch. 34 - 58 through 67 GO 61 SSM 59 Lenses with given...Ch. 34 - 58 through 67 GO 61 SSM 59 Lenses with given...Ch. 34 - 58 through 67 GO 61 SSM 59 Lenses with given...Ch. 34 - 58 through 67 GO 61 SSM 59 Lenses with given...Ch. 34 - 58 through 67 GO 61 SSM 59 Lenses with given...Ch. 34 - 58 through 67 GO 61 SSM 59 Lenses with given...Ch. 34 - 58 through 67 GO 61 SSM 59 Lenses with given...Ch. 34 - In Fig. 34-44, a real inverted image I of an...Ch. 34 - 69 through 79 GO 76, 78 SSM 75, 77 More lenses....Ch. 34 - 69 through 79 GO 76, 78 SSM 75, 77 More lenses....Ch. 34 - 69 through 79 GO 76, 78 SSM 75, 77 More lenses....Ch. 34 - 69 through 79 GO 76, 78 SSM 75, 77 More lenses....Ch. 34 - 69 through 79 GO 76, 78 SSM 75, 77 More lenses....Ch. 34 - 69 through 79 GO 76, 78 SSM 75, 77 More lenses....Ch. 34 - 69 through 79 GO 76, 78 SSM 75, 77 More lenses....Ch. 34 - 69 through 79 GO 76, 78 SSM 75, 77 More lenses....Ch. 34 - 69 through 79 GO 76, 78 SSM 75, 77 More lenses....Ch. 34 - 69 through 79 GO 76, 78 SSM 75, 77 More lenses....Ch. 34 - 69 through 79 GO 76, 78 SSM 75, 77 More lenses....Ch. 34 - 80 through 87 GO 80, 87 SSM WWW 83 Two-lens...Ch. 34 - 80 through 87 GO 80, 87 SSM WWW 83 Two-lens...Ch. 34 - 80 through 87 GO 80, 87 SSM WWW 83 Two-lens...Ch. 34 - 80 through 87 GO 80, 87 SSM WWW 83 Two-lens...Ch. 34 - 80 through 87 GO 80, 87 SSM WWW 83 Two-lens...Ch. 34 - 80 through 87 GO 80, 87 SSM WWW 83 Two-lens...Ch. 34 - 80 through 87 GO 80, 87 SSM WWW 83 Two-lens...Ch. 34 - 80 through 87 GO 80, 87 SSM WWW 83 Two-lens...Ch. 34 - If the angular magnification of an astronomical...Ch. 34 - SSM In a microscope of the type shown in the Fig....Ch. 34 - Figure 34-46a shows the basic structure of an old...Ch. 34 - SSM Figure 34-47a shows the basic structure of a...Ch. 34 - An object is 10.0 mm from the objective of a...Ch. 34 - Someone with a near point Pn of 25 cm views a...Ch. 34 - An object is placed against the center of a...Ch. 34 - 95 through 100 GO 95, 96, 99 Three-lens systems....Ch. 34 - 95 through 100 GO 95, 96, 99 Three-lens systems....Ch. 34 - 95 through 100 GO 95, 96, 99 Three-lens systems....Ch. 34 - 95 through 100 GO 95, 96, 99 Three-lens systems....Ch. 34 - 95 through 100 GO 95, 96, 99 Three-lens systems....Ch. 34 - 95 through 100 GO 95, 96, 99 Three-lens systems....Ch. 34 - SSM The formula 1/p 1/i = 1/f is called the...Ch. 34 - Figure 34-50a is an overhead view of two vertical...Ch. 34 - SSM Two thin lenses of focal lengths f1 and f2 are...Ch. 34 - Two plane mirrors are placed parallel to each...Ch. 34 - In Fig. 34-51, a box is somewhere at the left, on...Ch. 34 - In Fig. 34-52, an object is placed in front of a...Ch. 34 - SSM A fruit fly of height H sits in front of lens...Ch. 34 - You grind the lenses shown in Fig. 34-53 from flat...Ch. 34 - In Fig. 34-54, a fish watcher at point P watches a...Ch. 34 - A goldfish in a spherical fish bowl of radius R is...Ch. 34 - Figure 34-56 shows a beam expander made with two...Ch. 34 - You look down at a coin that lies at the bottom of...Ch. 34 - A pinhole camera has the hole a distance 12 cm...Ch. 34 - Light travels from point A to point B via...Ch. 34 - A point object is 10 cm away from a plane mirror,...Ch. 34 - Show that the distance between an object and its...Ch. 34 - A luminous object and a screen are a fixed...Ch. 34 - An eraser of height 1.0 cm is placed 10.0 cm in...Ch. 34 - A peanut is placed 40 cm in front of a two-lens...Ch. 34 - A coin is placed 20 cm in front of a two-lens...Ch. 34 - An object is 20 cm to the left of a thin diverging...Ch. 34 - In Fig 34-58 a pinecone is at distance p1 = 1.0 m...Ch. 34 - One end of a long glass rod n = 1.5 is a convex...Ch. 34 - A short straight object of length L lies along the...Ch. 34 - Prove that if a plane mirror is rotated through an...Ch. 34 - An object is 30.0 cm from a spherical mirror,...Ch. 34 - A concave mirror has a radius of curvature of 24...Ch. 34 - A pepper seed is placed in front of a lens. The...Ch. 34 - The equation 1/p 1/i = 2/r for spherical mirrors...Ch. 34 - A small cup of green tea is positioned on the...Ch. 34 - A 20-mm-thick layer of water n = 1.33 floats on a...Ch. 34 - A millipede sits 1.0 m in front of the nearest...Ch. 34 - a Show that if the object O in Fig. 34-19c is...Ch. 34 - Isaac Newton, having convinced himself erroneously...Ch. 34 - A narrow beam of parallel light rays is incident...Ch. 34 - A corner reflector, much used in optical,...Ch. 34 - A cheese enchilada is 4.00 cm in front of a...Ch. 34 - A grasshopper hops to a point on the central axis...Ch. 34 - In Fig. 34-60, a sand grain is 3.00 cm from thin...Ch. 34 - Suppose the farthest distance a person can see...Ch. 34 - A simple magnifier of focal length f is placed...
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Convex and Concave Lenses; Author: Manocha Academy;https://www.youtube.com/watch?v=CJ6aB5ULqa0;License: Standard YouTube License, CC-BY