Answered

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a certain camera lens has a focal length of 175 mm. its position can be adjusted to produce images when the lens is between 180 mm and 210 mm from the plane of the film. over what range of object distances is the lens useful?

Sagot :

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.

To know more about Lens Image Range:

https://brainly.com/question/13063265

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