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EastWind [94]
3 years ago
6

A real image is four times as far from a lens as is theobject.

Physics
1 answer:
saveliy_v [14]3 years ago
3 0

Answer:

1.25 focal lengths

Explanation:

The lens equation states that:

\frac{1}{f}=\frac{1}{p}+\frac{1}{q}

where

f is the focal length

p is the object distance

q is the image distance

In this problem, the image is 4 times as far from the lens as is the object: this means that

q=4p

If we substitute this into the lens equation and we rearrange it, we get

\frac{1}{f}=\frac{1}{p}+\frac{1}{4p}=\frac{4+1}{4p}=\frac{5}{4p}\\p=\frac{5}{4}f=1.25 f

so, the object distance measured in focal lengths is

1.25 focal lenghts

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