A sharp image is located 78.0 mm behind a 65.0 mm focal length converging lens. Find the object distance using a ray diagram and by calculation.

sodni3

sodni3

Answered question

2021-01-27

A 65.0 mm focal length converging lens is 78.0 mm away from a sharp image. Find the object distance using a ray diagram and by calculation.

Answer & Explanation

odgovoreh

odgovoreh

Skilled2021-01-28Added 107 answers

Converging lens for
Let "u" be the object's distance.
Image distance (v)=+7.8 cm (because it is real)
Focal length (f)=+6.5 cm (because it is convex-lens)
Since
1f=1v1u
165=1781u
or, u=-390 mm
The item should be 390 mm away from the lens when being photographed.
A ray diagram is given below
image

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