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Image Focusing

Posted on Thursday, August 5, 2010 in Photography






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Image Focusing 2
How far must the lens be moved to focus the image of object that is 2.58 m away?

Assume that a camera has a fixed focal length
of 67 mm and is adjusted to properly focus
the image of a distant object.
How far must the lens be moved to focus
the image of object that is 2.58 m away?
Answer in units of mm.

The formula relating the distances of the object (Do) and the image (Di) to the
focal length is: 1/Do + 1/Di = 1/f. If f = 67mm, then for a very distant object, 1/Do
becomes negligibly small and approaches zero value, so the distance Di to the
image would be 67 mm. (same as the focal length) for a very distant object.
If the object is 2.58 meters, or 2580 mm. away, the value 1/Do becomes 1/2580
and is no longer negligible; to focus the image, the distance Di must be:
1/Di = 1/67 - 1/2580 = 0.0149253 - 0.0003875 = 0.0145378
so Di = 1/0.0145378 = 68.786 mm.
If the lens was 67 mm. from the film surface, it must be moved to be 68.786 mm
which means it must be moved 1.786 mm. farther away from the film in order
to make a sharply focused image.
Hope this answers your question.

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