sela 2018.04.08 Album The Mirror Equation and Magnification Now that we know how
ID: 2037874 • Letter: S
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sela 2018.04.08 Album The Mirror Equation and Magnification Now that we know how to find the nature location and size of an image by ray tracing, we are ready to develop mathematical formulas that will allow us to do the same thing. We define the following quantities and sign conventions: A) The fallerarh of the mirror that is the distance from the mirror to the focal point "+" means concave mirror, "-" means convek mirror (a plane mirror has an infinite focal length). " for a single mirror (could B) do The object divers that is the distance from the obiect to the mirror. Always be negative for multiple mirrors as we'll see later). C) The image distance, that is the distance from the image to the mirror. -" means real image (in front of the mirror), "-" means virtual image (behind the mirror). 2) D) ho The olycr helg. *" means upright object-" means inverted object. The size of the object is the absolute value of hoe E) The image heigh. " means upright image. -_" means inverted image. The size of the image is the absolute value of hi F). The magnification of the mirror, that is, the ratio of the image height to the object heigh. "+" means upright a image. "" means inverted image. Object Object Image Image Consider the hat reflects from the center of or. By the law of reflection, the angle this incident ray mexes Wi r equal to the angle reflected ray. Therefore the two shaded right triangles are similar. ace Problems A 2.0 cm high object is placed 7.10 cm from a concave mirror whose radius of curvature is 10.20 cm. A) Determine the focal length of the mirror.Explanation / Answer
Solution) We have radius of curvature R=2f
Here f is focal length
f=R/2
Given R=10.20cm
f=10.20/2
f=5.10 cm
Since it is concave mirror focal length is positive
So focal length f=5.10cm
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