F 2/₁1 + -2(f₁ + f2) + k + An object is placed in front of a converging lens at a distance equal to twice the focal length f₁ of the lens. On the other side of the lens is a concave mirror of focal length f2 separated from the lens by a distance 2(f1 + f2). Light from the object passes rightward through the lens, reflects from the mirror, passes leftward through the lens, and forms a final image of the object. What are (a) the distance between the lens and that final image and (b) the overall magnification M of the object? Is the image (c) real or virtual (if it is virtual, it requires someone looking through the lens toward the mirror), (d) to the left or right of the lens, and (e) inverted or non-inverted relative to the object?

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|—2/1₁- ——2 (√₁ + √2)
An object is placed in front of a converging lens at a distance equal to twice the focal length f₁ of the lens.
On the other side of the lens is a concave mirror of focal length f2 separated from the lens by a distance
2(f1 + f2). Light from the object passes rightward through the lens, reflects from the mirror, passes leftward
through the lens, and forms a final image of the object.
What are (a) the distance between the lens and that final image and (b) the overall magnification M of the
object?
Is the image (c) real or virtual (if it is virtual, it requires someone looking through the lens toward the
mirror), (d) to the left or right of the lens, and (e) inverted or non-inverted relative to the object?
Transcribed Image Text:|--4 12 |—2/1₁- ——2 (√₁ + √2) An object is placed in front of a converging lens at a distance equal to twice the focal length f₁ of the lens. On the other side of the lens is a concave mirror of focal length f2 separated from the lens by a distance 2(f1 + f2). Light from the object passes rightward through the lens, reflects from the mirror, passes leftward through the lens, and forms a final image of the object. What are (a) the distance between the lens and that final image and (b) the overall magnification M of the object? Is the image (c) real or virtual (if it is virtual, it requires someone looking through the lens toward the mirror), (d) to the left or right of the lens, and (e) inverted or non-inverted relative to the object?
An object is a distance of 1.44 m from a converging lens, and is 25.0 cm long (see diagram to the right, not
drawn to scale). When viewed through the lens, its image is 15.0 cm long.
(a) Is the image upright or inverted? Explain how you know.
(b) Find the focal length of the lens.
(c) The object is tipped-over in the direction of the lens, its base remaining where it started (see diagram
to the right). Find the length of the new image when viewed through the lens with the object in this
position.
Transcribed Image Text:An object is a distance of 1.44 m from a converging lens, and is 25.0 cm long (see diagram to the right, not drawn to scale). When viewed through the lens, its image is 15.0 cm long. (a) Is the image upright or inverted? Explain how you know. (b) Find the focal length of the lens. (c) The object is tipped-over in the direction of the lens, its base remaining where it started (see diagram to the right). Find the length of the new image when viewed through the lens with the object in this position.
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