A camera lens used for taking close-up photographs has a focal length of 22.0 mm. The farthest it can be placed from the film is 32.9 mm. Wh

A camera lens used for taking close-up photographs has a focal length of 22.0 mm. The farthest it can be placed from the film is 32.9 mm. What is the closest object that can be photographed

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  1. Answer:

    p = 6.64 cm

    Explanation:

    For this exercise we use the equation of the constructor

              [tex]\frac{1}{f} = \frac{1}{p} + \frac{1}{q}[/tex]

    where f is the focal length, p and q are the distance to the object and the image, respectively

    They tell us the focal length f = 2.2 cm and that the image as far as it can go is q = 3.29 cm, let’s find the position of the object that creates this image

              [tex]\frac{1}{p} = \frac{1}{f} – \frac{1}{q}[/tex]

              1 / p = 1 / 2.2 – 1/3.29

               1 / p = 0.15059

               p = 6.64 cm

    therefore the farthest distance from the object is 6.64 c

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