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You have seen that as an object approaches the focal point, F, of a concave mirror, the image moves farther away from the mirror If the object is at the focal point, all reflected rays are parallel They never meet, therefore, and the image is said to be at infinity, so the object could never be seen What happens if the object is moved even closer to the mirror What do you see when you move your face close to a concave mirror The image of your face is right-side up and behind the mirror A concave mirror produces a virtual image if the object is located between the mirror and the focal point, as shown in the ray diagram in Figure 17-13a Again, two rays are drawn to locate the image of a point on an object As before, ray 1 is drawn parallel to the principal axis and reflected through the focal point Ray 2 is drawn as a line from the point on the object to the mirror, along a line defined by the focal point and the point on the object At the mirror, ray 2 is reflected parallel to the principal axis Note that ray 1 and ray 2 diverge as they leave the mirror, so there cannot be a real image However, sight lines extended behind the mirror converge, showing that the virtual image forms behind the mirror When you use the mirror equation to solve problems involving concave mirrors for which an object is between the mirror and the focal point, you will find that the image position is negative The magnification equation gives a positive magnification greater than 1, which means that the image is upright and larger compared to the object, like the image in Figure 17-13b



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Which, inserted independently at line 8, will compile (Choose all that apply) A return new Carpet<X>(); B return new Carpet<V>(); C return new Carpet<A>(); D return new Carpet<B>(); E return new Carpet<C>(); 12 Given:





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Feeding parallel transmission line 209 then it is possible to make a balun for this purpose from some no12 formvar- or enamel-covered wire and either a ferrite toroid or a short piece of PVC plumbing pipe Figure 8-5 shows a balun coil construction project Use 12 turns of no12 formvar or enameled wire over a 1-in outside diameter piece of PVC pipe or tubing Next, we have the so-called longwire antenna I use the term so-called because not all long wire antennas are truly longwires A true longwire is longer than two wavelengths at the lowest frequency of operation In Fig 8-6 we see a longwire, or random-length, antenna fed from a tuning unit If the antenna length L is greater than a quarter-wavelength, then the tuner consists of a single series capacitor (see below); and if it is shorter than a quarter-wavelength, the tuner is a series inductor The standard tuner for this type of antenna, regardless of length, is a simple L-section coupler (also shown), which can be selected for L-section, series-L or series-C operation The Windom antenna (Fig 8-7) has been popular since the 1920s Although Loren Windom is credited with the design, there were actually a number of contributors Coworkers with Windom at the University of Illinois were John Byrne, E F Brooke, and W L Everett, and they are properly cocredited The designation of Windom as the inventor was probably due to the publication of the idea (credited to Windom) in the July 1926 issue of QST magazine Additional (later) contributions were rendered by G2BI and GM1IAA (Jim MacIntosh) We will continue the tradition of crediting Loren Windom, with the understanding that others also contributed to this antenna design The Windom is a roughly half-wavelength antenna that will also work on even harmonics of the fundamental frequency The basic premise is that the antenna radiation resistance varies from about 50 to about 5000 , depending upon the.

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An object of height ho is located at do relative to a concave mirror with focal length f 1 Draw and label a ray diagram showing the focal length and location of the object if the image is

located twice as far from the mirror as the object Prove your answer mathematically Calculate the focal length as a function of object position for this placement

2 Draw and label a ray diagram showing the location of the object if the image is located twice as far

from the mirror as the focal point Prove your answer mathematically Calculate the image height as a function of the object height for this placement

1 2 3 4 5 6 7 8 9 10 11 12 class One { int x = 0; { assert x == 1; } } public class Two { public static void main(String[] args) { int y = 0; assert y == 0; if(argslength > 0) new One(); } }

Figure 17-14 A convex mirror always produces virtual images that are upright and smaller compared to the object

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