You have a concave mirror with a radius of curvature of 1.00 meters. You do not

Question

You have a concave mirror with a radius of curvature of 1.00 meters. You do not have to draw a ray diagram as part of your answer, but I encourage you to make one if it will help you. An object 2 cm tall is put in front of the mirror, 51 cm from the center of the mirror's surface. (a) Where is the image? Make sure to specify the distance from the mirror, and, in words, on which side of the mirror the image is. (b) How large is the image? Is the image upright or inverted? (c) Is the image real or virtual?

Explanation / Answer

f =r/2 = 0.5m = 50 cm

d0 = 51 cm

di = 2549.9999999999955 cm or 2550 cm (25.5 m) (in front of mirror)

b)

m = -(2550/51) = 50

Himage = m*Hobject = -50*2cm = -100 cm (1m) (-ve means inverted)

c)

Image is real.

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