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Suppose you are looking at your image in a plane mirror Can you measure the location of the image 1 Obtain a camera from your teacher with a focusing ring that has distances marked on it 2 Stand 10 m from a mirror and focus on the edge of the mirror Check the reading on the focusing ring It should be 10 m 3 Measure the position of the image by focusing the camera on your image Check the reading on the focusing ring Analyze and Conclude 4 How far is the image behind the mirror 5 Why is the camera able to focus on a virtual image that is behind the mirror even though there is no real object behind the mirror

Image position and height The geometric model of Figure 17-6 demonstrates why the distances are the same Two rays from point O at the tip of the candle strike the mirror at point P1 and point P2, respectively Both rays are reflected according to the law of reflection The reflected rays are extended behind the mirror as sight lines, converging at point I, which is the image of point O Ray 1, which strikes the mirror at an angle of incidence of 0 , is reflected back on itself, so the sight line is at 90 to the mirror, just as ray 1 Ray 2 is also reflected at an angle equal to the angle of incidence, so the sight line is at the same angle to the mirror as ray 2 This geometric model reveals that line segments OP1 and IP1 are corresponding sides of two congruent triangles, OP1P2 and IP1P2 The position of the object with respect to the mirror, or the object position, do , has a length equal to the length of OP1 The apparent position of the image with respect to the mirror, or the image position, di, has a length equal to the length of IP1 Using the convention that image position is negative to indicate that the image is virtual, the following is true Plane-Mirror Image Position di do

Here are two queries for you to try The first has a change to the measure in the Where clause The second projects the measure along the Columns axis

echo echo echo echo PIPHP_CapsControl($text, PIPHP_CapsControl($text, PIPHP_CapsControl($text, PIPHP_CapsControl($text, "u"); "l"); "w"); "s");

With a plane mirror, the image position is equal to the negative of the object position The negative sign indicates that the image is virtual

You can draw rays from the object to the mirror to determine the size of the image The sight lines of two rays originating from the bottom of the candle in Figure 17-6 will converge at the bottom of the image Using the law of reflection and congruent-triangle geometry, the following is true of the object height, ho, and image height, hi, and any other dimension of the object and image Plane-Mirror Image Height hi ho

Figure 17-7 The image formed in a plane mirror is the same size as the object and is the same distance behind the mirror as the object is in front However, when the boy blinks his right eye, the left eye of his image blinks