Two positive thin lenses are separated by a distance of d. The focal lengths of the...
Two positive thin lenses are separated by a distance of d. The
focal lengths of the lenses are f_1 = 10 cm and f_2 = 20 cm. The
desired throw of the system, the object to image distance, is T =
80 cm and the desired magnification is M = -1.1.
a) Use what you know about the conjugate matrix for a two lens
system to solve to the distance between the lenses. Express your
answer in cm.
b) Where should be the object be placed? Express the distance
between the object and the first lens in cm.
c) What is the distance between the image and the second lens in
cm?
Homework Answers
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Two positive thin lenses are separated by a distance of d. The
focal lengths of the...
3. Consider the compound optical system shown in the diagram, where two thin lenses of focal...
3. Consider the compound optical system shown
in the diagram, where two thin lenses of focal lengths 7.5
cm (left lens) and 8.5 cm (right lens) are separated by a
distance 32 cm.
a) If an object is placed a distance do =
15.3 cm to the left of the first lens (the left one) as
shown in the figure, how far to the right of that lens, in
centimeters, is the image formed?
b) What is the magnification of...
0-1 20pts total) Two thin identical convex lenses are separated by a distance of 6 em...
0-1 20pts total) Two thin identical convex lenses are separated by a distance of 6 em Each es has focal leagth of 15 cm. Using the thin lens cquation and magnification formula Mer the following questions. ) (Gopts) If an object of height 1 em is placed 10 em in front of the first lens. find the position and hoight of the fina image b Gopb) What is the tol magnifcaion of this lens system? Is the finai image crect...
The focal lengths of the converging and diverging lenses in the diagram are 9 and -11...
The focal lengths of the converging and diverging lenses in the diagram are 9 and -11 cm, respectively. The distance between the lenses is 24 cm and the object is placed 12 cm to the left of the converging lens. Determine the location of the first Image with respect to the first lens (including the sign) 91= cm. Find the magnification of this image Mi= Determine the second object distance, P2= cm. Determine the second (final) image distance with respect...
Two converging lenses having focal lengths off, = 11.3 cm and f, - 20.0 cm are...
Two converging lenses having focal lengths off, = 11.3 cm and f, - 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 = 33.3 cm Indicated. 12 Object Final image (5) How far (in cm) to the left of the first lens should the object be positioned? cm (b) What is the overall magnification of the system? (c) is the...
2. An object is placed in front of two thin symmetrical convex lenses with focal lengths...
2. An object is placed in front of two thin symmetrical convex lenses with focal lengths of F1 +10 cm and F25 cm, with a lens separation of D-42 cm. The object is 15.0 cm from lens 1. Where is the final image of the object and what is its magnification? (10 points) [Please use reverse side if you need more room. Circle the correct descriptors: real virtual enlarged reduced erect inverted Answer: X final = ML =
Please circle final answers The focal lengths of the converging and diverging lenses in the diagram...
Please circle final answers
The focal lengths of the converging and diverging lenses in the diagram are 7 and -13 cm, respectively. The distance between the lenses is 25 cm and the object is placed 18 cm to the left of the converging lens. Determine the location of the first Image with respect to the first lens (including the sign) 91 cm. Find the magnification of this image M- Determine the second object distance P2 cm. Determine the second (final)...
(optical engr) An optical imaging system includes two thin lenses. The first lens has focal lengt...
(optical engr) An optical imaging system includes two thin lenses. The first lens has focal lengths f1 = 5 cm and f2 = 10 cm. The distance between the 2 lenses is 5 cm. An object with height h = 2.5 cm is placed 15 cm before (to the left of) the first lens. A. Use the lens equations to compute final image location and image size of the object in this two lens optical imaging system B. Plot an...
Two converging lenses are separated by a distance of 20 cm. The first lens has a...
Two converging lenses are separated by a distance of 20 cm. The first lens has a focal length of 5 cm and the second lens has an unknown focal length that you need to calculate. When an object is placed 8 cm in front of the first lens you measure a total magnification of M=-1.8 (That is, the magnification caused by the two lenses). Answer the following questions: 1. location of the image found by the first lens 2. magnification...
10. Two lenses with focal length f are separated by a distance 2f. I place an...
10. Two lenses with focal length f are separated by a distance 2f. I place an object in the focal plane of one lens. (so the sequence is (object, distance f, lens, distance 2f, lens). Does this system form an image? If so, where? Is it real or virtual? What is the magnification? This system is called a “4f relay." Can you explain the name?
Two converging lenses having focal lengths of f1 = 11.1 cm and f2 = 20.0 cm...
Two converging lenses having focal lengths of f1 =
11.1 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 = 28.7
cm indicated.
(a) How far (in cm) to the left of the first lens should the
object be positioned? ______cm
(b) What is the overall magnification of the system?
fi f2 Object Final image d
3. Consider the compound optical system shown
in the diagram, where two thin lenses of focal lengths 7.5
cm (left lens) and 8.5 cm (right lens) are separated by a
distance 32 cm.
a) If an object is placed a distance do =
15.3 cm to the left of the first lens (the left one) as
shown in the figure, how far to the right of that lens, in
centimeters, is the image formed?
b) What is the magnification of...
0-1 20pts total) Two thin identical convex lenses are separated by a distance of 6 em Each es has focal leagth of 15 cm. Using the thin lens cquation and magnification formula Mer the following questions. ) (Gopts) If an object of height 1 em is placed 10 em in front of the first lens. find the position and hoight of the fina image b Gopb) What is the tol magnifcaion of this lens system? Is the finai image crect...
The focal lengths of the converging and diverging lenses in the diagram are 9 and -11 cm, respectively. The distance between the lenses is 24 cm and the object is placed 12 cm to the left of the converging lens. Determine the location of the first Image with respect to the first lens (including the sign) 91= cm. Find the magnification of this image Mi= Determine the second object distance, P2= cm. Determine the second (final) image distance with respect...
Two converging lenses having focal lengths off, = 11.3 cm and f, - 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 = 33.3 cm Indicated. 12 Object Final image (5) How far (in cm) to the left of the first lens should the object be positioned? cm (b) What is the overall magnification of the system? (c) is the...
2. An object is placed in front of two thin symmetrical convex lenses with focal lengths of F1 +10 cm and F25 cm, with a lens separation of D-42 cm. The object is 15.0 cm from lens 1. Where is the final image of the object and what is its magnification? (10 points) [Please use reverse side if you need more room. Circle the correct descriptors: real virtual enlarged reduced erect inverted Answer: X final = ML =
Please circle final answers
The focal lengths of the converging and diverging lenses in the diagram are 7 and -13 cm, respectively. The distance between the lenses is 25 cm and the object is placed 18 cm to the left of the converging lens. Determine the location of the first Image with respect to the first lens (including the sign) 91 cm. Find the magnification of this image M- Determine the second object distance P2 cm. Determine the second (final)...
10. Two lenses with focal length f are separated by a distance 2f. I place an object in the focal plane of one lens. (so the sequence is (object, distance f, lens, distance 2f, lens). Does this system form an image? If so, where? Is it real or virtual? What is the magnification? This system is called a “4f relay." Can you explain the name?
Two converging lenses having focal lengths of f1 =
11.1 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 = 28.7
cm indicated.
(a) How far (in cm) to the left of the first lens should the
object be positioned? ______cm
(b) What is the overall magnification of the system?
fi f2 Object Final image d
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