A lens produces an upright image of an object. The image is reduced in size by a factor of 3.00 when the object is a distance of 16.9 cm from the lens. Determine the focal length.
Answers
Explanation:
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Question:
A lens produces an upright image of an object. The image is reduced in size by a factor of 3.00 when the object is a distance of 16.9 cm from the lens. Determine the focal length.
Answer:
-8.45 cm
Explanation:
do = 16.9 cm and hi = (+1/3.00)•ho
Use the magnification equation: M = hi/ho = -di/do = 1/3.00
Using the distance ratio in the magnification equation, it can be shown that
di = -(1/3.00)•do = -(1/3.00) •(16.9 cm) = -5.63 cm
Now use the lens equation to solve for the focal length:
1/f = 1/do + 1/di = 1/(16.9 cm) + 1/(-5.63 cm) = -0.118 / cm
f = 1/-0.118/cm = -8.45 cm
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