Question

Two converging lenses with the focal lengths f 1 = 0.2
m and f2 = 0.4 m are positioned at a distance f1 + f2 to each
other. Such arrangements are called "beam expanders" and are often
used in laser technology

a) What is the expansion ratio W2 / W1?

One of the two converging lenses is now to be replaced
by a diverging lens, with the same expansion ratio W2 / W1 to be
achieved.

b) Which of the two lenses is that and what is the focal length of
the dissipation lens?

c) What is the distance of the lenses now?

Answer #1

Two converging lenses having focal lengths of f1 = 11 cm and f2
= 19 cm are placed 50 cm apart as shown in Figure. The final
inverted image is to be located between the lenses at the position
38 cm to the right of the first lens. How far (in cm) to the left
of the first lens should the object be positioned? Express the
answer (numerical value only) with one decimal place.

Two converging lenses having focal lengths of f1 = 11.4 cm and
f2 = 20.0 cm are placed d = 50.0 cm apart, as shown in the figure
below. The final image is to be located between the lenses, at the
position x = 32.7 cm indicated. On the left, an arrow originating
from a long horizontal line points upward and is labeled "Object."
A vertical, convex lens, labeled "f1," is centered upon the
horizontal line and is positioned a...

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.

The focal lengths of the converging and diverging lenses in the
diagram are 8 and -11 cm, respectively. The distance between the
lenses is 22 cm and the object is placed 14 cm to the left of the
converging lens.
Determine the location of the first image with respect to the first
lens (including the sign)
q1= cm.
Find the magnification of this image
M1= .
Determine the second object distance.
p2= cm.
Determine the second (final) image distance with respect to the...

The focal lengths of the converging and diverging lenses are +15
and -20 cm, respectively. The distance between them is 50 cm and
the object is placed 10 cm to the left of the converging lens.
Determine the location of the final image with respect to the
diverging lens. Is this image real or virtual? Find the total
magnification; is the image inverse or upright?

Two converging lenses with focal lengths of 40 cm and 19 cm are
10 cm apart. A 3.2 cm tall object is 15 cm in front of the 40 cm
focal-length lens. Calculate the distance between the final image
and the 19 cm focal-length lens and the final image height.

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...

Two converging lenses with focal lengths of 50 cm and 22 cm are
13 cm apart. A 2.0-cm-tall object is 25 cm in front of the
50-cm-focal-length lens.
Part A
Calculate the distance between the image and 22-cm-focal-length
lens.
Express your answer to two significant figures and include the
appropriate units.
Part B
Calculate the image height.
Express your answer to two significant figures and include the
appropriate units.

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, one converging with focal length 20.5 cm and one
diverging with focal length ? 10.5 cm , are placed 25.0?cm apart.
An object is placed 60.0?cm in front of the converging lens.
Part A Find the final image distance from second lens. Follow
the sign conventions. Express your answer to two significant
figures and include the appropriate units. di2 = Part B Determine
the magnification of the final image formed. Follow the sign
conventions. Express your answer using...

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