(2) A z0om lens system is a combination of lenses that produces a variable magnification of a fixed object as it maintains a fixed image position. The magnification is varied by moving one or more lenses along the principal axis. Suppose an object shines light through two lenses and then onto a viewing screen. Lens 1, which is to the right of the object, has a focal length fi = 7.00 cm. Lens 2 is to the right of lens 1, and has a focal length f2 = 12.00 cm. The screen is to the right of lens 2. Initially, the object is at a distance of 10.00 cm to the left of lens 1. The image formed on the screen has a magnification of +1.00. (a) Calculate the distance between the object and the screen, in cm. (b) Both lenses are now moved along the principal axis while the object and the screen maintain fixed positions, until the image formed on the screen has a magnification of +2.50. Calculate the displacement of each lens from its initial position in part (2)(a). (c) The result of part (2)(b) can be achieved by displacing the lenses in two different ways. Find the displacement of each lens that is different from your result in (2)(b), but still gives a magnification of +2.50.
(2) A z0om lens system is a combination of lenses that produces a variable magnification of a fixed object as it maintains a fixed image position. The magnification is varied by moving one or more lenses along the principal axis. Suppose an object shines light through two lenses and then onto a viewing screen. Lens 1, which is to the right of the object, has a focal length fi = 7.00 cm. Lens 2 is to the right of lens 1, and has a focal length f2 = 12.00 cm. The screen is to the right of lens 2. Initially, the object is at a distance of 10.00 cm to the left of lens 1. The image formed on the screen has a magnification of +1.00. (a) Calculate the distance between the object and the screen, in cm. (b) Both lenses are now moved along the principal axis while the object and the screen maintain fixed positions, until the image formed on the screen has a magnification of +2.50. Calculate the displacement of each lens from its initial position in part (2)(a). (c) The result of part (2)(b) can be achieved by displacing the lenses in two different ways. Find the displacement of each lens that is different from your result in (2)(b), but still gives a magnification of +2.50.
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Transcribed Image Text:(2) A z0om lens system is a combination of lenses that produces a variable magnification of a fixed object as
it maintains a fixed image position. The magnification is varied by moving one or more lenses along the
principal axis. Suppose an object shines light through two lenses and then onto a viewing screen. Lens 1,
which is to the right of the object, has a focal length fi = 7.00 cm. Lens 2 is to the right of lens 1, and has a
focal length f2 = 12.00 cm. The screen is to the right of lens 2. Initially, the object is at a distance of 10.00 cm
to the left of lens 1. The image formed on the screen has a magnification of +1.00.
(a) Calculate the distance between the object and the screen, in cm.
(b) Both lenses are now moved along the principal axis while the object and the screen maintain fixed
positions, until the image formed on the screen has a magnification of +2.50. Calculate the displacement of
each lens from its initial position in part (2)(a).
(c) The result of part (2)(b) can be achieved by displacing the lenses in two different ways. Find the
displacement of each lens that is different from your result in (2)(b), but still gives a magnification of +2.50.
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