Tutorials in Introductory Physics
1st Edition
ISBN: 9780130970695
Author: Peter S. Shaffer, Lillian C. McDermott
Publisher: Addison Wesley
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Question
Chapter 24.5, Problem 1dTH
To determine
Toexplain:
The location of the image formed by an object placed at focus of a converging lens.
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You are imaging a pencil through a thin, converging lens as shown in the image below. If p (the distance from the object to the center of the thin lens) is 8.15m and the focal length of the thin lens is 0.42m, how far away (in meters) from the center of the thin
lens is the real image located (the real image will be on the right-side of the lens in this particular example illustrated below)?
Ray 1
Ray 1 focal point
Ray 2
Sis
Secondary Ray 3
Ray 3
Object
Converging
lens
focal point
Principal
Real
image
Note: Do not explicitly include units in your answer (it is understood the unit is meter). Enter only a number. If you do enter a unit, your answer will be counted wrong.
In the figure below (not to scale), the focal lengths of the thin converging lenses, L1
and L2, are 20.0 cm and 10.0 cm, respectively.
L1
L2
When object O is placed 30.0 cm to the left of L1, its image forms 7.0 cm to the right
of L2.
What is the distance between the two lenses?
Express your answer to the nearest cm.
Four ray diagrams are shown below. f1, f2 are the focal points for the lenses respectively as shown from left to right. when both focal points occur at the same point their position is designated as "f1/f2". Identify the TWO ray diagrams that show the correct position for the FINAL image for the two-lens systems shown below.
Chapter 24 Solutions
Tutorials in Introductory Physics
Ch. 24.1 - On the diagram, sketch what you would see on the...Ch. 24.1 - The small bulb is replaced by three longfilament...Ch. 24.1 - The three longfilament bulbs are replaced by a...Ch. 24.1 - Predict the size and shape of the shadow that will...Ch. 24.1 - Is it possible to place the bulb in another...Ch. 24.1 - Prob. 2cTHCh. 24.1 - Prob. 2dTHCh. 24.1 - Prob. 3aTHCh. 24.1 - A student is looking at the building shown at...Ch. 24.1 - Prob. 4aTH
Ch. 24.1 - Suppose that this student were walking through the...Ch. 24.2 - The top view diagrams at right were drawn by a...Ch. 24.2 - Draw a ray diagram to determine the location of...Ch. 24.2 - Describe how you could use a ray diagram to...Ch. 24.2 - A pencil is placed in front of a plane mirror as...Ch. 24.2 - Prob. 3bTHCh. 24.3 - Prob. 1aTHCh. 24.3 - A pin is placed in front of a semicylindrical...Ch. 24.3 - Prob. 1cTHCh. 24.3 - Prob. 2aTHCh. 24.3 - A very small, very bright bulb is placed for from...Ch. 24.4 - The following are top view diagrams of solid...Ch. 24.4 - The following are top view diagrams of solid...Ch. 24.4 - The following are top view diagrams of solid...Ch. 24.4 - The following are top view diagrams of solid...Ch. 24.4 - Prob. 2THCh. 24.4 - Prob. 3aTHCh. 24.4 - Prob. 3bTHCh. 24.4 - Is the image(s) of the nail real or virtual?...Ch. 24.5 - Suppose that the bulb is placed as shown. Using...Ch. 24.5 - Prob. 1bTHCh. 24.5 - Prob. 1cTHCh. 24.5 - Prob. 1dTHCh. 24.5 - Prob. 2aTHCh. 24.5 - Treat the image produced by lens 1 as an object...Ch. 24.5 - Repeat parts a andb for the case in which lens 2...Ch. 24.6 - Reproduced below is a side view diagram of the...Ch. 24.6 - In section III of the tutorial Magnification, you...Ch. 24.6 - Two thin convex lenses and an object are arranged...Ch. 24.6 - Prob. 3bTHCh. 24.6 - Two thin convex lenses and an object are arranged...Ch. 24.6 - Prob. 3dTHCh. 24.6 - Two thin convex lenses and an object are arranged...
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Similar questions
- The diagram below shows the situation described in the problem. The focal length of the lens is labeled f; the scale on the optical axis is in centimeters. Draw the three special rays, Ray1, Ray2, and Ray3 as described in the Tactics Box above, and label each ray accordingly. Draw the rays from the tip of the object to the center vertical axis of the lens. Do not draw the refracted rays. Draw the vectors for the incident rays starting at the tip of the object to the center vertical axis of the lens. The location and orientation of the vectors will be graded. Vectors: Ray3 Ray though center of lens Ray2 Ray through near focal point Rayl Ray parallel to axis Unlabeled vector Objectarrow_forwardIn the figure below (not to scale), the focal lengths of the thin converging lenses, L1 and L2, are 20.0 cm and 10.0 cm, respectively. LI L2 When object O is placed 30.0 cm to the left of L1, its image forms 7.0 cm to the right of L2. What is the distance between the two lenses? Express your answer to the nearest cm. 60arrow_forwardEstimate the magnification and focal length of the pitcher of water shown in the figure below. (Assume that the tree is about 57 ft tall and its inverted image is about 1 foot tall. Also assume that the tree is about 210 ft from the pitcher. Include the sign of the value in your answers.) magnification focal length X The response you submitted has the wrong sign. ft 3.57 Elizabeth Owens/American Association of Physics Teachersarrow_forward
- 1.Place your object at a distance equal to the focal length (f) of your diverging lens. Where is your image located? Describe the type of image formed based on size, orientation, and condition and provide a screenshot of your set-up. 2.Place your object at a distance less than the focal length (f) of your diverging lens. Where is your image located? Describe the type of image formed based on size, orientation, and condition and provide a screenshot of your set-up.arrow_forwardSuppose you know the six cardinal points of an optical system (two focal points F1 and F2, two principal points H1 and H₂ and two nodal points N₁ and N₂), complete the three special rays to locate the image position formed by this system. Label the focal lengths, object distance and image distance. [Hint: A ray parallel to optical axis, turns to the focal point F2 after passing through the principle plane H₂. A ray through Fi will turn to parallel after H₁. A ray moving towards to N₁ will emerge at N₂ with the same angle. In a thick lens, N overlaps with H point if the refractive index is the same on both sides of the lens.] F₁ H1 N₁ H₂ N₂ F₂arrow_forwardTwo plane mirrors are at an angle of ?1 = 57.6° with each other as in the side view shown in the figure below. If a horizontal ray is incident on mirror 1, at what angle ?2 does the outgoing reflected ray make with the surface of mirror 2?arrow_forward
- A lens has 2 focal points or foci as shown in the drawings below... A. A convex-convex lens is a converging lens. P rays that enter the lens from the left side will converge at and pass through the focal point on the right or far side. The focal point on the left or near side is not used. Sketch three P rays passing through the converging lens provided. Note: Instead of refracting the ray at each interface, assume the ray refracts only once, at the dashed central bisector of the lens B. A concave-concave lens is a diverging lens. P rays entering from the left will diverge away from the focal point on the left. The right side focal point is not used. Sketch 3 P rays passing through the diverging lens provided.arrow_forwardSuppose you have a concave mirror as shown in the image below. If h = 1.6m is the height of an object (really the displacement of the top of the object from the axis) and h' = 4.05m is the height of the image, what is the magnitude of the transverse magnification (in units of meters)? Image Object Note: Do not explicitly include units in your answer (it is understood the unit is meter). Enter only a number. If you do enter a unit, your answer will be counted wrong.arrow_forwardIf the radius of curvature of the mirror in diagram A is 15 cm and the object which is 10 cm long is placed 20 cm away from the mirror, then, find: a. the location of image b. size of image. Reminder: Always show your solution.arrow_forward
- An object (represented by an upright arrow) is placed 15 cm from a converging, thin lens with a focal length f = 10 cm. The scaled diagram below represents this arrangement. 15 cm object - principal axis f f 10 cm 10 cm convex lens (a) Draw a ray diagram to find the location of the image. Be sure to include the image in your diagram (b) Solve, using the thin-lens equation, for the location of the image. (c) Determine the magnification m of the image using equations (and not your diagram).arrow_forwardIn order to measure focal length of a diverging lens (L2), we set up the following experiment (as shown in the right figure). It uses another converging lens (L1). An object (o) is placed in front of lens (L1). The image of the object can be seen on a screen (S,), which is located 20cm behind lens (L2). Next, after removing lens (L2) only, the image can be restored (seen) by moving screen 5cm toward lens (L1) to a new location of S2. Please compute the focal length of lens (L2). L, L2 S2 5cm 20cmarrow_forwardAperture stop: Consider an optical system made up of two convex thin lenses (L1 and L2) and a diaphragm D located in between, as shown in the figure below. OP is the object. Focal length of Li and L2 are 2a and a, respectively. Distances between the optical elements have the following relationship: s = 1Oa, 1 = 4a, and d = 6a, respectively Dimensions of L1, L2, and D are ri = r2= 3r and r3 = r. Locate the position and size of aperture stop (AS), entrance pupil (E„P), and exit pupil (E,P) for the system. D. objectarrow_forward
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