The focal length of the diffusing lens is 40 cm. At what distance from the lens
| February 6, 2021 | education
The focal length of the diffusing lens is 40 cm. At what distance from the lens is the image of the object located if the object itself is located at a distance of 40 cm from the lens?
To find the distance at which the image of an object is located from a given diffusing lens, we apply the formula: – 1 / F = 1 / d – 1 / f, whence 1 / f = (F + d) / (F * d) and f = F * d / (F + d).
The values of the variables: F is the focal length of a given diffusing lens (F = 40 cm = 0.4 m); d is the distance from a given lens to an object (d = 40 cm = 0.4 m).
Calculation: f = F * d / (F + d) = 0.4 * 0.4 / (0.4 + 0.4) = 0.2 m.
Answer: The object image is located at a distance of 0.2 m from the given diffusing lens.
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