Aconvex (converging) lens produces a real, inverted image of an object that is magnified 2.90 times when the object is 39.0 cm from the lens. what is the focal length of the lens in centimeters?

29 cm

Explanation:

The Focal length equation is:  

(1)  

Where:  

is the focal length  

is the distance between the object and the convex lens

is the distance between the image and the convex lens  

On the other hand, the magnification of the image is given by the following equation:  

(2)

Where because the image is real, inverted and greater than the object

Finding from (2):

(3)

(4)

Substituting (4) in (1):

(5)  

Finding :

(6)  

This is the focal length

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