Based on an exercise from Section 25.6 (Image Formation by Lenses) of OpenStax C

Question

Based on an exercise from Section 25.6 (Image Formation by Lenses) of OpenStax College Physics.

The lens of a camera has a 44.6 mm focal length and is being used to photograph a flower that is 37 cm tall and 90.8 cm away. When the image of the flower is focused on the film, what is the height of the image? Give a positive value if the image is upright, and a negative value if the image is inverted.

(Hint: the units are highlighted for a reason; be careful.)
(Not a hint: please give this as a two-significant figure answer, regardless of any quantities that might appear in the problem.)

Explanation / Answer

First we will calculate distance of image from the lens of camera.

from lens formula,

1 / v + 1 / u = 1 / f

1 / v = 1 / f - 1 / u

1 / v = 1 / (0.0446) - 1 / (0.908)

v = 4.69 cm

formula of magnification,

hi / ho = -v / u

hi / 37 = -4.69 / 90.8

hi = -1.91 cm

answer

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