Question

Two identical diverging lenses are separated by 20 cm. The focal length of each lens is -9.8 cm. An object is located 4.7 cm to the left of the lens that is on the left. Determine the final image distance relative to the lens on the right.

Answer #1

The key to this kind of problem is that the 1st (left) lens's

(Intermediate) image is the 2nd (right) lens's object. Then using notation from

ref. 1 (+uN is object distance to left of lens N and +vN is image distance to

right of lens N), we have initially:

u1 = 47 cm; f1 =-9.8 cm; sep = 20 cm; f2 =-9.8 cm; v2 = TBD

Solving,

v1 = 1/(1/f1-1/u1) = -8.11 cm

u2 = sep-v1 = 11.89 cm

v2 = 1/(1/f2-1/u2) = -5.37 cm

Final Image location relative to lens 2 = |v2|
= **5.37 cm**

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left of the lens that is on the left. Determine the final image
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Two identical diverging lenses are separated by 14 cm.
The focal length of each lens is -9.5 cm. An object is located 3.9
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Two lenses are placed along the x axis, with a
diverging lens of focal length −8.70 cm on the left and a
converging lens of focal length 17.0 cm on the right. When an
object is placed 14.0 cm to the left of the diverging lens, what
should the separation s of the two lenses be if the final
image is to be focused at x = ∞?

Two lenses are placed along the x axis, with a diverging lens of
focal length −7.40 cm on the left and a converging lens of focal
length 15.0 cm on the right. When an object is placed 14.0 cm to
the left of the diverging lens, what should the separation s of the
two lenses be if the final image is to be focused at x = ∞?

A diverging lens with a focal length of -13 cm is placed 12 cm
to the right of a converging lens with a focal length of 22 cm . An
object is placed 34 cm to the left of the converging lens.
Where will the final image be located?
Express your answer using two significant figures.
d =
cm
to the left of the diverging lens
Where will the image be if the diverging lens is 58 cm from...

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(a) What will be the distance from the second lens that the final
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Two thin lenses with a focal length of magnitude 10.0 cm , the
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How far from this first lens is the final image formed?
Is the final image real or virtual?
What is the height of the final image?
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Thank you!!

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b. What is the OVERALL magnification of the final image after
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problem, do ONE LENS AT A TIME.

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