A woman holds a tube of lipstick 9.8 cm from a spherical mirror and notices that

Question

A woman holds a tube of lipstick 9.8 cm from a spherical mirror and notices that the image of the tube is inverted and one fourth its normal size. (a) Determine the position of the image. Is it in front of or behind the mirror? (Use a negative number below to indicate the image is behind the mirror.) 1 Your response differs from the correct answer by more than 10%. Double check your calculations. cm (b) Calculate the focal length of the mirror. .907 Your response differs from the correct answer by more than 10%. Double check your calculations. cm

Explanation / Answer

smaller inverted image means it is a REAL image, so it is IN FRONT OF THE MIRROR

so we know 1/4 = image distance / object distance

image distance = 9.8 / 4 = 2.45 cm positive

(b) focal length is found by

f = i * o / (i + o ) = 2.45 * 9.8 / (2.45 + 9.8) = 1.96 cm

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