The eyepiece of a Galilean telescope is a diverging lens. The focal points $F_{\mathrm{o}}$ and $F_{e}^{\prime}$ coincide. In one such telescope, the lenses are a distance $d=32 \mathrm{~cm}$ apart and the focal length of the objective is $36 \mathrm{~cm}$. A rhinoceros is viewed from a large distance. (a) What is the focal length of the eyepiece? (b) At what distance from the eyepiece is the final image? (c) Is the final image formed by the eyepiece real or virtual? Upright or inverted? (d) What is the angular magnification? [Hint: The angular magnification is $\beta / \alpha$.]
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Given: Distance between lenses, d = 32 cm Focal length of the objective, $f_o$ = 36 cm The distance of the image from the eyepiece, $p_e = q_o - d = 36 - 32 = 4$ cm The focal length of the eyepiece, $f_e = -p_e = -4$ cm Show more…
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The eyepiece of a Galilean telescope is a diverging lens. The focal points $F_{\mathrm{o}}$ and $F_{\mathrm{e}}^{\prime}$ coincide. In one such telescope, the lenses are a distance $d=32 \mathrm{cm}$ apart and the focal length of the objective is $36 \mathrm{cm} .$ A rhinoceros is viewed from a large distance. (a) What is the focal length of the eyepiece? (b) At what distance from the eyepiece is the final image? (c) Is the final image formed by the eyepiece real or virtual? Upright or inverted? What is the angular magnification?
The Gailiean Telescope. Figure P34.112 is a diagram of a Galilean telescope, or opera glass, with both the object and its final image at infinity. The image $I$ serves as a virtual object for the eyepiece. The final image is virtual and erect. (a) Prove that the angular magnification is $M=-f_{1} / f_{2}$ . (b) A Galilean telescope is to be constructed with the same objective lens as in Exercise 34.65 . What focal length should the eyepiece have if this telescope is to have the same magnitude of angular magnification as the one in Exercise 34.65$?(\mathrm{c})$ Compare the lengths of the telescopes.
A microscope has an objective lens with a focal length of 12.0 $\mathrm{mm}$ . A small object is placed 0.8 $\mathrm{mm}$ beyond the focal point of the objective lens. (a) At what distance from the objective lens does a real image of the object form? (b) What is the magnification of the real image? (c) If an eyepiece with a focal length of 2.5 $\mathrm{cm}$ is used, with a final image at infinity, what will be the overall angular magnification of the object?
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