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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