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The figure below shows a thin converging lens for which the radii of curvature of its surfaces have magnitudes of 8.99 cm and 10.2 cm. The lens is in front of a concave spherical mirror with the radius of curvature R = 8.06 cm. Assume the focal points F₁ and F₂ of the lens are 5.00 cm from the center of the lens. (a) Determine the index of refraction of the lens material. 1.95 (b) The lens and mirror are 20.0 cm apart, and an object is placed 8.22 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.) 9.09 distance location ✓ cm C to the left of the lens. ✔ (c) Determine its magnification as seen by the eye in the figure. -2.12 X

The figure below shows a thin converging lens for which the radii of curvature of its surfaces have magnitudes of 8.99 cm and 10.2 cm. The lens is in front of a concave spherical mirror with the radius of curvature R = 8.06 cm. Assume the focal points F₁ and F₂ of the lens are 5.00 cm from the center of the lens. (a) Determine the index of refraction of the lens material. 1.95 (b) The lens and mirror are 20.0 cm apart, and an object is placed 8.22 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.) 9.09 distance location ✓ cm C to the left of the lens. ✔ (c) Determine its magnification as seen by the eye in the figure. -2.12 X

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The figure below shows a thin converging lens for which the radii of curvature of its surfaces have magnitudes of 8.99 cm and 10.2 cm. The lens is in front of a concave spherical mirror with the radius of curvature R = 8.06 cm. Assume the focal points F₁ and F₂ of the lens are 5.00 cm from the center of the lens. (a) Determine the index of refraction of the lens material. 1.95 (b) The lens and mirror are 20.0 cm apart, and an object is placed 8.22 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.) distance 9.09 location to the left of the lens (c) Determine its magnification as seen by the eye in the figure. -2.12 X inverted O upright cm ŷ✔ (d) Is the final image inverted or upright? cm ↑ (e) For what initial object distance (in cm) would the final image form at exactly the same location as the object? What would be the magnification of the image in this case? M =
Transcribed Image Text:The figure below shows a thin converging lens for which the radii of curvature of its surfaces have magnitudes of 8.99 cm and 10.2 cm. The lens is in front of a concave spherical mirror with the radius of curvature R = 8.06 cm. Assume the focal points F₁ and F₂ of the lens are 5.00 cm from the center of the lens. (a) Determine the index of refraction of the lens material. 1.95 (b) The lens and mirror are 20.0 cm apart, and an object is placed 8.22 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.) distance 9.09 location to the left of the lens (c) Determine its magnification as seen by the eye in the figure. -2.12 X inverted O upright cm ŷ✔ (d) Is the final image inverted or upright? cm ↑ (e) For what initial object distance (in cm) would the final image form at exactly the same location as the object? What would be the magnification of the image in this case? M =
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