An object of height 3 cm is placed 59 cm from a convex mirror of focal length ha

Question

An object of height 3 cm is placed 59 cm from a convex mirror of focal length having magnitude 58 cm. (a) Find the location of the image. (Use a negative value if the image is behind the mirror.) Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. cm (b) Describe the properties of the image. height of image = cm Is the image real or virtual? Is the image upright or inverted? (Select all that apply.) virtual upright inverted real

Explanation / Answer

p=59 and f=-58 (since convex)

1/p+1/q=1/f

1/59 +1/q = -1/58

1/q=-1/58 - 1/59 = -0.0341

q=-29.24 so the image forms 29.24 cm behind the mirror

the magnification is m=-q/p = -(-29.24)/59 = 0.49

so the image has a height of 0.49x3cm=1.47 cm

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