Tutorials in Introductory Physics
1st Edition
ISBN: 9780130970695
Author: Peter S. Shaffer, Lillian C. McDermott
Publisher: Addison Wesley
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Chapter 24.6, Problem 3dTH
To determine
The image that looks larger.
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The diagram shows a lens with a positive focal length 11 cm. (a) If we place an object at a distance of 25 cm from the lens, where will the resulting image position on the other side of the lens be found? Include units in answer, (b) With the object at 25 cm from the lens, what will the magnification be for the image at this position? (c) If we place an object at a distance of 4 cm from the lens, where will the resulting image position be found? (d) With the object at 4 cm from the lens, what will the magnification be for the image at this position?
A plane wave hits a piece of glass whose front surface is spherical and whose back surface is plane. The radius of the lens is 10 cm and the thickness of the glass is 1 cm at the center, as shown in the diagram at right. At time t1, the center of the plane wavefront has just reached the lens. A short time later, at time t2, the center of the wavefront will have passed completely through the glass, as shown.
a) Find the time that elapses between t1 and t2, the time it takes the center of the wavefront to pass thorugh the middle 1 cm of the glass.
b) Find the amount by which the edges of the wavefront at t2 will be ahead of the cetner of the wavefront, due to the fact that these edges passed through empty space, with no glass in their paths.
A concave lens refracts parallel rays in such a way that they are bent away from the axis of the lens. For this reason, a concave lens is referred to as a diverging lens.
Part A: Consider the following diagrams, where F represents the focal point of a concave lens. In these diagrams, the image formed by the lens is obtained using the ray tracing technique. Which diagrams are accurate?(Figure 1)
*Type A if you think that only diagram A is correct, type AB if you think that only diagrams A and B are correct, and so on.
Part B: If the focal length of the concave lens is -7.50 cm , at what distance d_o from the lens should an object be placed so that its image is formed 3.70 cm from the lens?
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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- Sketched below are several objects (the arrows labeled "O") in front of lenses. In each case, carefully redraw the sketch on your whiteboard, and then(a) Draw 3 principal rays leaving the top of the object;(b) Locate the image;(c) State whether the image is real or virtual, inverted or upright, and larger or smaller than the object. (iv) For diagram #iii, suppose the focal length is 5 cm and the object is placed 7 cm from the lens. Find the exact location and magnification of the image. Does this agree with your expectation from the ray diagram?arrow_forwardA narrow beam of light is incident on the left side of the prism shown in the figure below. The prism is a right triangle, with two of its angles measuring 45°. A) The transmitted beam that exits the hypotenuse of the prism makes an angle of ? = 17.5° with the direction of the incident beam. What is the index of refraction of the prism? B) In part (a), we assumed the beam was monochromatic. Consider instead the case where the beam was composed of white light. Because the index of refraction differs for different wavelengths, the white light would be dispersed into constituent colors. Assume the index of refraction for blue wavelengths is 1.01n and for red wavelengths it is 0.99n, where n is the index of refraction found in part (a). What is the angular spread (in degrees) between red and blue light exiting the prism?arrow_forwardA 1.5 cmcm high object is located 30 cmcm from a diverging lens, whose focal length is 11 cmcm . What is the height of the image produced by the lens? You have determined the height of the image using numerical methods and, in so doing, have also determined its position, s′s′s'. Now, use graphical methods to evaluate your results.The diagram below shows the object, a ray (ray 1) parallel to the optic axis of the lens, and a ray (ray 2) proceeding toward the first focal point of the lens. Draw the refracted rays and the image produced by the lens. Make sure you extend the refracted rays sufficiently backward in order to find the image. Keep in mind that principal-ray diagrams must be drawn accurately to give good results!arrow_forward
- If the incident ray at point A is at the critical angle between mediums 2 and 3, does the ray incident at point B refract out of medium 2 into 3? If so, what is the (i) angle of refraction at point B? If not, what is the reflected angle at point B? (ii) What is the initial angle θ at point C?arrow_forwardA ray of sunlight is incident from the left (shown in blue in the upper left) upon a spherical water droplet as shown in figure below. The ray, shown making an angle at incident i undergoes a refraction with angle r at the first interface, a reflection at the rear interface, and finally emerging from a second refraction at the lower front interface. find an expression for the total deviation angle for the returned light ray (lower left in blue) from the incident direction of the light ray, as shown in the figure above. Write your expression in terms of radiansarrow_forwardA small fish is swimming at a depth d below the surface of a pond (as shown).(A) What is the apparent depth of the fish as viewed from directly overhead?arrow_forward
- If the incident ray at point A is at the critical angle between mediums 2 and 3, does the ray incident at point B refract out of medium 2 into 3? If so, what is the (i) angle of refraction at point B? If not, what is the reflected angle at point B? (ii) Draw an accurate ray diagram at point B. (iii) What is the initial angle θ at point C?arrow_forwardLight rays fall normally on the vertical surface of the glass prism (n=1.50)shown below. (a) What is the largest value for such that the ray is totally reflected at the slanted face? (b) Repeat the calculation of part (a) if the prism is immersed in water.arrow_forwardA prism constitute of a transparent, homogeneous and isotropic medium with the index of refraction n1 is placed in air as shown on the figure on the image a) Express Snell's law of refraction in terms of i, i', r, r' and n at the point I and I' of the prism when rays pass through it's principal plane section b) Determine the geometric relation that link the angle A to r and r'arrow_forward
- If 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 the location of the image is 12 cm and the size of the image is 6 cm. 1. What is the location of the image? (between F and C, at C etc.) 2. What is the orientation of the image? (inverted or upright) 3. What is the size of the image? (reduced, same, bigger) 4. What is the type of the image? (real or virtual)arrow_forward1. Find the focal length of a biconcave lens (n = 1.65) if the magnitudes of the radii of curvature are 0.40 m and 0.60 m. In your solution, did it matter which was surface A and which was surface B? Briefly explain (or show your solution). 2. When a glass lens is submerged in water, is its focal length less than, equal to, or greater than when it is surrounded by air? Explain using Snell’s law. 3. A small insect viewed through a convex lens is 1.8 cm from the lens and appears 2.5 times larger than its actual size. What is the focal length of the lens?arrow_forwardA beam of light travels vertically downward and strikes a horizontal mirror, reflecting directly back vertically upward, as indicated by the black dashed line in the diagram at left. The mirror is now rotated, so that it is 10° away from horizontal, as is the red mirror in the diagram . The incident solid black ray is the same in both cases. a) At what angle from the vertical will the reflected beam (the red dashed arrow) now be seen? b) If the mirror is further rotated until it is 20° from the horizontal, what will be the new angle between the reflected beam and the vertical?arrow_forward
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