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A system of two lenses forms an image of an arrow at x = x3 = 57.4 cm. The first lens is
a diverging lens located at x = 0 and has a focal length of magnitude f₁ = 11.5 cm. The
second lens is located at x = x₂ = 25.4 cm and has an unknown focal length. The tip of
the object arrow is located at (x,y) = (xo, Yo) = (-36 cm, 20.6 cm).
(x,y)
1) What is x₁, the x-coordinate of image of the arrow formed by the first lens?
cm Submit
2) What is y₁, the y-coordinate of the image of the tip of the arrow formed by the first
lens?
cm Submit
X₂
Real and Inverted
Real and Upright
Virtual and Inverted
Virtual and Upright
cm Submit
(+)
3) What is f2, the focal length of the second lens. If the lens is a converging lens, f2 is
positive. If the lens is a diverging lens, f2 is negative.
cm Submit
+
4) What is y3, the y-coordinate of the image of the tip of the arrow formed by the two
lens system?
(+
5) The positions of the two lenses are now interchnaged (i.e., the second lens is moved
to x = 0 and the diverging lens is moved to x = x2 = 25.4 cm). What is the nature of
the final image in this new system?
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Transcribed Image Text:A system of two lenses forms an image of an arrow at x = x3 = 57.4 cm. The first lens is a diverging lens located at x = 0 and has a focal length of magnitude f₁ = 11.5 cm. The second lens is located at x = x₂ = 25.4 cm and has an unknown focal length. The tip of the object arrow is located at (x,y) = (xo, Yo) = (-36 cm, 20.6 cm). (x,y) 1) What is x₁, the x-coordinate of image of the arrow formed by the first lens? cm Submit 2) What is y₁, the y-coordinate of the image of the tip of the arrow formed by the first lens? cm Submit X₂ Real and Inverted Real and Upright Virtual and Inverted Virtual and Upright cm Submit (+) 3) What is f2, the focal length of the second lens. If the lens is a converging lens, f2 is positive. If the lens is a diverging lens, f2 is negative. cm Submit + 4) What is y3, the y-coordinate of the image of the tip of the arrow formed by the two lens system? (+ 5) The positions of the two lenses are now interchnaged (i.e., the second lens is moved to x = 0 and the diverging lens is moved to x = x2 = 25.4 cm). What is the nature of the final image in this new system?
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