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If a projector (square pixel SXGA) has a diagonal size of 5 mm which uses a screen of 1 m in which the distances vary from 1 to 2 m, how would the focal length range be calculated?

Would you just calculate the focal length at 2 m, then 1 m then take these values away giving the range?

And would the 1/f = 1 / u + 1 / v equation be used? It is the diagonal size and horizontal size that am not sure about.

Thanks.