(e) What If For what initial object distance (in cm) would the final image form at exactly the same location as the object? cm What would be the magnification of the image in this case? M

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Chapter1: Units, Trigonometry. And Vectors
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The figure below shows a thin converging lens for which the radi of curvature of its surfaces have magnitudes of 9.08 cm and 11.2 cm. The
lens is in front of a concave spherical mirror with the radius of curvature R=7.98 cm. Assume the focal points F, and F, of the lens are 5.00
cm from the center of the lens.
(a) Determine the index of refraction of the lens materlal.
202
(b) The lens and mirror are 20.0 cm apart, and an object is placed 8.70 cm to the left of the lens. Determine the position (in cm) of the final
image. (Give its magnitude and location with respect to the lens.)
773
Light travels from the object through the lens, reflecting off the mirror, and back through the lens again. So first, find the
position of the image formed by the lens alone. Then, treat this image as the object when dealing with the mirror, and find
the position of the image formed by the mirror, Finally, treat this second image as an object, and find its image position
when formed by the lens. At each stage, be careful to find distances with respect to the appropriate optical element (either
the mirror or the lons), and be careful of sign conventions. Remember the focal length of the mirror is half its radius. cm
to the left of the lens v
distance
location
(C) Determine its magnification as seen by the eye in the figure.
d ts the final image inverted or upright?
inverted
O upright
Explain.
() What If? For what initial object distance (in cm) would the final image form at exactly the same location as the object?
cm
What would be the magnification of the image in this case?
Transcribed Image Text:The figure below shows a thin converging lens for which the radi of curvature of its surfaces have magnitudes of 9.08 cm and 11.2 cm. The lens is in front of a concave spherical mirror with the radius of curvature R=7.98 cm. Assume the focal points F, and F, of the lens are 5.00 cm from the center of the lens. (a) Determine the index of refraction of the lens materlal. 202 (b) The lens and mirror are 20.0 cm apart, and an object is placed 8.70 cm to the left of the lens. Determine the position (in cm) of the final image. (Give its magnitude and location with respect to the lens.) 773 Light travels from the object through the lens, reflecting off the mirror, and back through the lens again. So first, find the position of the image formed by the lens alone. Then, treat this image as the object when dealing with the mirror, and find the position of the image formed by the mirror, Finally, treat this second image as an object, and find its image position when formed by the lens. At each stage, be careful to find distances with respect to the appropriate optical element (either the mirror or the lons), and be careful of sign conventions. Remember the focal length of the mirror is half its radius. cm to the left of the lens v distance location (C) Determine its magnification as seen by the eye in the figure. d ts the final image inverted or upright? inverted O upright Explain. () What If? For what initial object distance (in cm) would the final image form at exactly the same location as the object? cm What would be the magnification of the image in this case?
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