The Galilean Telescope. Figure P34.100 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 34.61. What focal length should the eyepiece have if this telescope is to have the same magnitude of angular magnification as the one in Exercise 34.61? (c) Compare the lengths of the telescopes. Figure P34.100
The Galilean Telescope. Figure P34.100 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 34.61. What focal length should the eyepiece have if this telescope is to have the same magnitude of angular magnification as the one in Exercise 34.61? (c) Compare the lengths of the telescopes. Figure P34.100
The Galilean Telescope. Figure P34.100 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 = −f1/f2. (b) A Galilean telescope is to be constructed with the same objective lens as in Exercise 34.61. What focal length should the eyepiece have if this telescope is to have the same magnitude of angular magnification as the one in Exercise 34.61? (c) Compare the lengths of the telescopes.
In a two-lens system, the image produced by one lens acts as the object for the next lens. This simple principle finds applications in many optical instruments, including some of common use such as the microscope and the telescope. On one of the shelves in your physics lab is displayed an antique telescope. A sign underneath the instrument says that the telescope has a magnification of 20 and consists of two converging lenses, the objective and the eyepiece, fixed at either end of a tube 60.0 cm long. Assuming that this telescope would allow an observer to view a lunar crater in focus with a completely relaxed eye, what is the focal length (fe) of the eyepiece? Note that to view the crater with a completely relaxed eye, the eyepiece must form its image at infinity.
In this problem, we will design a microscope using two convex lenses. The objective lens has a focal length fo = 0.2 cm and the eye piece lens has a focal length fe = 3.0 cm; these two lenses are separated by a distance of 5.0 cm.
a) The sample is placed 0.22 cm away from the objective lens. What is the image distance?
b)What is the magnification of the object contributed by the objec- tive lens?
c)What is the image distance after the light interacts with the eye- piece lens? Hint: You will need to determine the distance of the image fromt he objective lens to the eye-piece lens.
d) Using your answer from part c), what is the magnification of the eye-peice lens?
e) If the initial object was 3μm what is the final image height?
A certain LCD projector contains a single thin lens. An object 18.0 mm high is to be projected so that its image fills a screen 3.30 m high. The object-to-screen distance is 4.90 m. (a) Find the magnification of the image.
A certain LCD projector contains a single thin lens. An object 18.0 mm high is to be projected so that its image fills a screen 3.30 m high. The object-to-screen distance is 4.90 m. (b) How far from the object should the lens of the projector be placed to form the image on the screen?
A certain LCD projector contains a single thin lens. An object 18.0 mm high is to be projected so that its image fills a screen 3.30 m high. The object-to-screen distance is 4.90 m. (c) Determine the focal length of the projection lens.
Chapter 34 Solutions
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