A 2.45 cm tall object is placed in 33.7 cm in front of a convex lens. The focal length
is 21.0 cm. What is the magnification of the image?

-1.65

Explanation:

First of all, we find the position of the image by using the lens equation:

where:

f is the focal length of the lens

p is the distance of the object from the lens

q is the distance of the image from the lens

For the lens in this problem:

f = 21.0 cm (the focal length of a convex lens is positive)

p = 33.7 cm

Solving for q, we find the position of the image:

Then, the magnification of the image is given by:

And substituting,

Which means that the image is inverted (negative sign) and enlarged (because M is larger than 1).

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your answer is a “generator”

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