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Chapter 33: Problem 2

Which one of the following is not a characteristic of a simple two-lens astronomical refracting telescope? a) The final image is virtual. b) The objective forms a virtual image. c) The final image is inverted.

Short Answer

Expert verified
a) The final image is virtual. b) The objective forms a virtual image. c) The final image is inverted. Answer: b) The objective forms a virtual image.

Step by step solution

01

Understanding a simple two-lens astronomical refracting telescope

A simple two-lens astronomical refracting telescope consists of two lenses: the objective lens and the eyepiece lens. The objective lens gathers the incoming light from a distant object and forms an image that is further magnified by the eyepiece lens for the observer to see. The objective lens is usually bigger and has a longer focal length, while the eyepiece lens is smaller with a shorter focal length.
02

Examining statement a: The final image is virtual

In a refracting telescope, the final image seen through the eyepiece is virtual. This means it cannot be projected on a screen, but only seen through the eyepiece. This is because the final image is formed by rays that appear to come from the point where the image is formed, but haven't actually passed through that point. Since the rays only appear to come from that point, the image is virtual. Statement a is true.
03

Examining statement b: The objective forms a virtual image

The objective lens of a refracting telescope gathers the incoming light from a distant object and forms a real, inverted image on its focal plane. This image is then further magnified by the eyepiece lens. Since the objective lens forms a real image, this statement is false.
04

Examining statement c: The final image is inverted

When light passes through the objective lens, it forms a real, inverted image on its focal plane. The eyepiece lens then further magnifies this already inverted image. As a result, the final image seen through the eyepiece of a simple two-lens astronomical refracting telescope will also be inverted. Statement c is true.
05

Conclusion

Based on the analysis of the statements, we can conclude that statement b ("The objective forms a virtual image.") is not a characteristic of a simple two-lens astronomical refracting telescope.

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Most popular questions from this chapter

Two refracting telescopes are used to look at craters on the Moon. The objective focal length of both telescopes is \(95.0 \mathrm{~cm}\) and the eyepiece focal length of both telescopes is \(3.80 \mathrm{~cm} .\) The telescopes are identical except for the diameter of the lenses. Telescope A has an objective diameter of \(10.0 \mathrm{~cm}\) while the lenses of telescope \(\mathrm{B}\) are scaled up by a factor of two, so that its objective diameter is \(20.0 \mathrm{~cm}\). a) What are the angular magnifications of telescopes \(A\) and \(B\) ? b) Do the images produced by the telescopes have the same brightness? If not, which is brighter and by how much?

Mirrors for astronomical instruments are invariably first-surface mirrors: The reflective coating is applied on the surface exposed to the incoming light. Household mirrors, on the other hand, are second-surface mirrors: The coating is applied to the back of the glass or plastic material of the mirror. (You can tell the difference by bringing the tip of an object close to the surface of the mirror. Object and image will nearly touch with a first-surface mirror; a gap will remain between them with a second-surface mirror.) Explain the reasons for these design differences.

Three converging lenses of focal length \(5.0 \mathrm{~cm}\) are arranged with a spacing of \(2.0 \cdot 10^{1} \mathrm{~cm}\) between them, and are used to image an insect \(2.0 \cdot 10^{1} \mathrm{~cm}\) away. a) Where is the image? b) Is it real or virtual? c) Is it upright or inverted?

Two identical thin convex lenses, each of focal length \(f\), are separated by a distance \(d=2.5 f\). An object is placed in front of the first lens at a distance \(d_{\mathrm{a}, 1}=2 f .\) a) Calculate the position of the final image of an object through the system of lenses. b) Calculate the total transverse magnification of the system. c) Draw the ray diagram for this system and show the final image. d) Describe the final image (real or virtual, erect or inverted, larger or smaller) in relation to the initial object.

An instructor wants to use a lens to project a real image of a light bulb onto a screen \(1.71 \mathrm{~m}\) from the bulb. In order to get the image to be twice as large as the bulb, what focal length lens will be needed?
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