The focal length of the collecting lens is 40 cm. At what distance from the lens is the object located
| August 17, 2021 | education
The focal length of the collecting lens is 40 cm. At what distance from the lens is the object located if the lens gives its virtual image at a distance of 60 cm from the lens.
To calculate the distance between the installed object and the taken lens, we use the formula: 1 / F = 1 / d – 1 / f; 1 / d = 1 / F + 1 / f = (f + F) / (F * f) and d = F * f / (f + F).
Values of variables: F – focal length of the taken lens (F = 40 cm); f is the distance between the obtained virtual image and the taken lens (f = 60 cm).
Calculation: d = F * f / (f + F) = 40 * 60 / (40 + 60) = 24 cm.
Answer: The object was positioned at a distance of 24 cm from the taken lens.
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