The useful range of object distances of the lens is 1.05 m and 6.3 m.
Focal length of the camera = 175 mm
Distance of Image 1 = i₁ = 180 mm
Distance of Image 2 = i₂ = 210 mm
Since the distance between the images is positive, hence we get real images.
Using thin lens equation,
= (1/f) = (1/i) + (1/o)
For image 1,
= (1/o₁) = (1/f) - (1/i₁)
= (1/o₁) = (1/175) - (1/180)
= o₁ = 6299.4 mm = 6.3 m
Similarly for image 2,
= (1/o₂) = (1/f) - (1/i₂)
= (1/o₂) = (1/175) - (1/210)
= o₂ = 1050 mm = 1.05 m
Thus, any object between 1.05 m and 6.3 m will be useful.
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