The figure below shows a thin converging lens for which the radii of curvature of its surfaces have magnitudes of 8.99 cm and 11.1 cm. The lens is in front of a concave spherical mirror with the radius of curvature R = 8.38 cm. Assume the focal points F, and F₂ of the lens are 5.00 cm from the center of the lens. F₁ F₂ (a) Determine the index of refraction of the lens material. (b) The lens and mirror are 20.0 cm apart, and an object placed. 14 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 cm location to the left of the lens ✔✔✔ (c) Determine its magnification as seen by the eye in the figure. (d) Is the final image inverted or upright? inverted O upright Q (e) 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=

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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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 11.1 cm. The lens is in front of a concave spherical mirror with the radius of curvature R = 8.38 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.
(b) The lens and mirror are 20.0 cm apart, and an object is placed 8.14 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
cm
location
to the left of the lens
C
(c) Determine its magnification as seen by the eye in the figure.
(d) Is the final image inverted or upright?
O inverted
O upright
(e) 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 =
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 11.1 cm. The lens is in front of a concave spherical mirror with the radius of curvature R = 8.38 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. (b) The lens and mirror are 20.0 cm apart, and an object is placed 8.14 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 cm location to the left of the lens C (c) Determine its magnification as seen by the eye in the figure. (d) Is the final image inverted or upright? O inverted O upright (e) 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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