Question

An optical technician mounts two thin lenses along a single optical axis (the lenses are at right angles to the line connecting them, and they appear concentric when viewed from either end). The lenses are identical, each with a positive (converging) focal length of +15.2 cm. They are separated by a distance of 40.4 cm. Lens 1 is to the left of Lens 2.

In order to evaluate the lens combination as a single optical instrument, the technician places an object 30.0 cm in front of (to the left of) Lens 1.

(a)

What is the final image's distance (in cm) from Lens 2? (Omit any sign that may result from your calculation.)

cm

(b)

Where is the final image located?

behind (to the right of) Lens 2 between Lens 1 and Lens 2 in front of (to the left of) Lens 1

(c)

What is the overall magnification of the lens pair, considered as a single optical instrument?

Answer #1

An optical instrument is built from a converging lens (lens 1)
with focal length 15 cm and a diverging lens (lens 2) with a focal
length -25 cm. The lenses are placed 20 cm apart. An object is
placed 10 cm from lens 1.
(a) (6 points) Compute the final image location of the
instrument. Report a distance from lens 2 with the correct
sign.
(b) (2 points) Compute the total magnification.
(c) (2 points) Describe the final image (magnification,...

Two converging lenses, each of focal length 15.1 cm, are placed
40.4 cm apart, and an object is placed 30.0 cm in front of the
first lens. Where is the final image formed?
The image is located ______ cm ---Location---a) in
front of the second lens. b) behind the second lens. c)in front of
the first lens.
What is the magnification of the system?
M = ______ ?

An optical system consists of two lenses separated by 35 cm –
first is converging with focal length 10 cm and the second is
diverging with focal length 15 cm. An object is 20 cm to the left
of the first lens. Find the position of the final image using both
a ray diagram and the thin-lens equation. Is the image real or
virtual? Erect or inverted? What is the overall magnification of
the image?

An object 4.3 mm high is on the optical axis of two lenses with
focal lengths f1 = +5.0 cm, f2 = +10 cm. The object is 6.4 cm to
the left of the first lens, and the second lens is 31 cm to the
right of the first lens. Find the position (relative to the second
lens) and the size of the final image by calculation.

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 = ∞?

An object 5.1 mm high is on the optical axis of two lenses with
focal lengths f1 = +5.0 cm,
f2 = +10 cm. The object is 6.7 cm to the left
of the first lens, and the second lens is 32 cm to the right of the
first lens. Find the position (relative to the second lens) and the
size of the final image by calculation.
position
size

Two converging lenses, the first with focal length f1 = 25 cm
and the second with focal length f2 = 15 cm are separated by a
distance of ` = 65 cm. An object is place at a distance of do1 = 45
cm to the left of the first lens.
(a) What will be the distance from the second lens that the final
image is produced? Is this image to the left or right of the second
lens? Justify...

Part 1
Two thin converging lenses of focal lengths f1 = 9.6 cm and f2 =
12 cm are separated by a = 20 cm, as in the figure below. An object
is placed p1 = 15 cm to the left of the first lens. Find the
position of the final image from the second lens. Answer in units
of cm.
Part 2
What is the magnification of the second lens?
Part 3
Calculate the magnification of the whole system.

An object 5.2 mm high is on the optical axis of two lenses with
focal lengths f1 = +5.0 cm, f2 = +10 cm. The object is 6.5 cm to
the left of the first lens, and the second lens is 34 cm to the
right of the first lens. Find the position (relative to the second
lens) and the size of the final image by calculation. position size
Find the position (relative to the second lens) and the size...

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