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=

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter26: Image Formation By Mirrors And Lenses
Section: Chapter Questions
Problem 33P: The left face of a biconvex lens has a radius of curvature of magnitude 12.0 cm, and the right face...
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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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