PHY 114 Lecture Notes - Lecture 15: Curved Mirror, Real Image, Virtual Image

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limeyak740

11 Apr 2018

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An image is real if light rays from a point on the object converge to a corresponding point on the image. The light rays appear to come from behind the mirror. Our eye focusses the diverging rays reflected by the mirror. An image is virtual if the light rays from a point on the object are directed as if they diverged from a point on the image, even though the rays do not actually pass through the image point. A point source and its image are at the same distance from the mirror, but on opposite sides of the mirror. Treat an extended object as a set of point sources. The observer/object is on the left of the mirror. A ray parallel to the principal axis is reflected, as shown below, and it appears to have come from point f, the focal point of the mirror. A convex (or diverging) mirror curves away from the observer.

Related Questions

In many cars, the passenger's side mirror has the following warning "Objects in mirror are closer than they appear" embossed on the mirror surface. Your group decides to conduct the following experiment to verify this statement. One member of your group holds a plane mirror just below the passenger's side mirror (radius of curvature =1.60 m) so that you can view an 8.4-cm tall object 2.4 m away from both mirrors. By placing a small ruler on the surface of each mirror, you find that the object appears to be 2.10cm tall in the plane mirror and 1.20cm tall in the passenger's side mirror when you view the images at a distance of .80m in front of the mirrors. Are the images real or virtual? Is the passenger's side mirror concave or convex? Show why the image in the passenger's side mirror appears to be farther away than the object actually is or as viewed on the plane mirror. (Hint:Draw a ray diagram of the object, image, mirror, and your eye for each mirror so that you have a better idea of what your eyes see i.e. the apparent angular size of the image and the corresponding apparent distance away as seen by your eye for both mirrors)

a candle is placed in front of a convex mirror.

A candle is placed in front of a convex mirror.

Figure6 of 6The figure labeled C shows two rays coming out of the top of the object in front of the concave mirror, forming an acute angle with the axis. Upper ray reflects parallel to the axis. And the lower ray reflects in the direction exactly opposite to its initial direction. There is a focus point F on the axis in front of the mirror and a center of the mirror’s curvature C between point F and the object. The image is smaller, than the object, located between points F and C, and inverted, its tip is formed by intersection of the reflected rays. The initial upper ray passes through point F and the initial upper ray passes through point C. The figure labeled C shows two rays coming out of the top of the object in front of the concave mirror, forming an acute angle with the axis. Upper ray reflects parallel to the axis. And the lower ray reflects in the direction exactly opposite to its initial direction. There is a focus point F on the axis in front of the mirror and a center of the mirror’s curvature C between point F and the object. The image is smaller, than the object, located between points F and C, and inverted, its tip is formed by intersection of the reflected rays. The initial upper ray passes through point F and the initial upper ray passes through point C.

Part A Consider the following diagrams noting that the scale is different between diagrams. In these diagrams, C and F represent the center of curvature and the focal point of the convex mirror, respectively. The image formed by the mirror is obtained using the ray tracing technique. Which diagram(s) are correct?(Figure 1) (Figure 2) (Figure 3) 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 radius of curvature of the convex mirror is 50.0 cm , at what distance do from the mirror must the candle be placed so that its image is formed 20 cm from the mirror? Express your answer in centimeters. View Available Hint(s) dod o d_o = cm The convex mirror is now replaced by a concave mirror with the same radius of curvature.

Part C Consider the following diagrams, where now C and F represent, respectively, the center of curvature and the focal point of the concave mirror. Again, the image formed by the mirror is found by ray tracing. Choose the correct diagram(s).(Figure 4) (Figure 5) (Figure 6) 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. View Available Hint(s)

Part D Assuming that the candle remains at a distance do from the mirror (the same distance found in Part B), at what distance di from the mirror will its image form now? Express your answer in centimeters. View Available Hint(s) did i d_i = nothing cm

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Your telescope has an objective lens with a focal length of 1.0 m.You point the telescope at the moon, only to realize that theeyepiece is missing. Even so, you can still see the real image ofthe moon formed by the objective lens if you place your eye alittle past the image so as to view the rays diverging from theimage plane, just as rays would diverge from an object at thatlocation.
What is the angular magnification of the moon if you view its realimage from 25 cm away, your near-point distance?

PHY 114 Lecture Notes - Lecture 15: Curved Mirror, Real Image, Virtual Image

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