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Chapter 33: Problem 64

A refracting telescope has the objective lens of focal length \(10.0 \mathrm{~m}\). Assume it is used with an eyepiece of focal length \(2.00 \mathrm{~cm}\). What is the magnification of this telescope?

Short Answer

Expert verified
Answer: The magnification of this refracting telescope is 500.

Step by step solution

01

Convert the focal length of the eyepiece to meters

The focal length of the eyepiece lens is given as 2.00 cm. We know that 1 m = 100 cm. Therefore, we can convert the focal length of the eyepiece lens to meters by dividing it by 100: Focal length of eyepiece lens (in meters) = \(\frac{2.00 \thinspace cm}{100} = 0.020 \thinspace m\)
02

Calculate the magnification

The magnification of a refracting telescope is given by the ratio of the focal length of the objective lens (FO) to the focal length of the eyepiece lens (FE): Magnification (M) = \(\frac{F_O}{F_E}\) Now, we can plug in the given values for the focal lengths of the objective and eyepiece lenses: M = \(\frac{10.0 \thinspace m}{0.020 \thinspace m} = 500\) Thus, the magnification of the refracting telescope is 500.

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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?

You are experimenting with a magnifying glass (consisting of a single converging lens) at a table. You discover that by holding the magnifying glass \(92.0 \mathrm{~mm}\) above your desk, you can form a real image of a light that is directly overhead. If the distance between the light and the table is \(2.35 \mathrm{~m},\) what is the focal length of the lens?

What is the magnification of a telescope with \(f_{0}=1.00 \cdot 10^{2} \mathrm{~cm}\) and \(f_{e}=5.00 \mathrm{~cm} ?\)

What would you expect to happen to the magnitude of the power of a lens when it is placed in water \((n=1.33) ?\) a) It would increase. d) It would depend if the b) It would decrease. lens was converging or c) It would stay the same. diverging.

The radius of curvature for the outer part of the cornea is \(8.0 \mathrm{~mm}\), the inner portion is relatively flat. If the index of refraction of the cornea and the aqueous humor is 1.34: a) Find the power of the cornea. b) If the combination of the lens and the cornea has a power of \(50 .\) diopter, find the power of the lens (assume the two are touching).
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