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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

The object (upright arrow) in the following system has a height of \(2.5 \mathrm{~cm}\) and is placed \(5.0 \mathrm{~cm}\) away from a converging (convex) lens with a focal length of \(3.0 \mathrm{~cm}\). What is the magnification of the image? Is the image upright or inverted? Confirm your answers by ray tracing.

Is it possible to design a system that will form an image without lenses or mirrors? If so, how? and what drawbacks, if any, would it have?

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.

What kind of lens is used in eyeglasses to correct the vision of someone who is a) nearsighted? b) farsighted?

Is it possible to start a fire by focusing the light of the Sun with ordinary eyeglasses? How, or why not?
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