Worksheet
Two-Lens Worksheet
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Refer to the following information for the next nine questions.
Group #1
An object is placed 1.8 cm in front of a converging lens having a focal length of 0.5 cm. A second identical converging lens is located 1.5 cm behind the first lens as shown below.
Where is the first image formed?
What is the magnification (d
i
/d
o
) for the rays passing through the first lens?
This first image will now serve as the object for the second lens. How far is it located in front of the second lens?
Where is the image formed by the second lens?
What is the magnification (d
i
/d
o
) for the rays passing through the second lens?
What is the final magnification for this system of lenses?
The final image of this system is
real
virtual
not formed
The final image of this system is
inverted
upright
not formed
The final image of this system is
enlarged
reduced
the same size
not formed
Refer to the following information for the next nine questions.
Group #2
An object is placed 0.7 cm in front of a converging lens having a focal length of 0.5 cm. A second diverging lens, having a focal length of -0.5 cm, is then placed 2.5 cm behind the first lens as shown below.
Where is the first image formed?
What is the magnification (d
i
/d
o
) for the rays passing through the first lens?
This first image will now serve as the object for the second lens. How far is it located in front of the second lens?
Where is the image formed by the second lens?
What is the magnification (d
i
/d
o
) for the rays passing through the second lens?
What is the final magnification for this system of lenses?
The final image of this system is
real
virtual
not formed
The final image of this system is
inverted
upright
not formed
The final image of this system is
enlarged
reduced
the same size
not formed
Refer to the following information for the next nine questions.
Group #3
An object is placed 1.5 cm in front of a converging lens having a focal length of 0.5 cm. A second converging lens, having a focal length of 1.0 cm, is then placed 1.0 cm behind the first lens as shown below.
Where is the first image formed?
What is the magnification (d
i
/d
o
) for the rays passing through the first lens?
This first image will now serve as the object for the second lens. How far is it located in front of the second lens?
Where is the image formed by the second lens?
What is the magnification (d
i
/d
o
) for the rays passing through the second lens?
What is the final magnification for this system of lenses?
The final image of this system is
real
virtual
not formed
The final image of this system is
inverted
upright
not formed
The final image of this system is
enlarged
reduced
the same size
not formed
Refer to the following information for the next nine questions.
Group #4
An object is placed 2.15 cm in front of a converging lens having a focal length of 0.5 cm. A second converging lens, having a focal length of 0.75 cm, is then placed 1.25 cm behind the first lens as shown below.
Where is the first image formed?
What is the magnification (d
i
/d
o
) for the rays passing through the first lens?
This first image will now serve as the object for the second lens. How far is it located in front of the second lens?
Where is the image formed by the second lens?
What is the magnification (d
i
/d
o
) for the rays passing through the second lens?
What is the final magnification for this system of lenses?
The final image of this system is
real
virtual
not formed
The final image of this system is
inverted
upright
not formed
The final image of this system is
enlarged
reduced
the same size
not formed
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