A small object faces the convex spherical glass window of a small water tank. The radius of curvature of the window is 5cm. The inner back side of the tank is a plane mirror, 20cm from the window. The index of refraction of water is 1.33. Neglect any refraction due to the thin glass window itself. If the object is 30cm outside the glass window, determine: a) The position of the final image. Specify the nature of the final image. Find the overall magnification of the object. b) Solve the same problem for the case of the mirror back side of the tank being 60cm from the window. c) How would the answers to part a) change if the mirror is 40.7cm from the window? Be as specific as you can.
A small object faces the convex spherical glass window of a small water tank. The radius of curvature of the window is 5cm. The inner back side of the tank is a plane mirror, 20cm from the window. The index of refraction of water is 1.33. Neglect any refraction due to the thin glass window itself. If the object is 30cm outside the glass window, determine: a) The position of the final image. Specify the nature of the final image. Find the overall magnification of the object. b) Solve the same problem for the case of the mirror back side of the tank being 60cm from the window. c) How would the answers to part a) change if the mirror is 40.7cm from the window? Be as specific as you can.
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Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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Transcribed Image Text:A small object faces the convex spherical glass window of a small water tank. The radius of
curvature of the window is 5cm. The inner back side of the tank is a plane mirror, 20cm from
the window. The index of refraction of water is 1.33. Neglect any refraction due to the thin
glass window itself. If the object is 30cm outside the glass window, determine:
a) The position of the final image. Specify the nature of the final image. Find the overall
magnification of the object.
b) Solve the same problem for the case of the mirror back side of the tank being 60cm from
the window.
c) How would the answers to part a) change if the mirror is 40.7cm from the window? Be
as specific as you can.
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