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Chapter 35: Q.38 (page 1018)

| Marooned on a desert island and with a lot of time on your hands, you decide to disassemble your glasses to make a crude telescope with which you can scan the horizon for rescuers. Luckily you’re farsighted, and, like most people, your two eyes have different lens prescriptions. Your left eye uses a lens of power +4.5 D, and your right eye’s lens is +3.0 D. a. Which lens should you use for the objective and which for the eyepiece? Explain.

b. What will be the magnification of your telescope?

c. How far apart should the two lenses be when you focus on distant objects?

Short Answer

Expert verified

Need to for the objective and for the Eyepiece

Step by step solution

01

Part (a) Step 1 Given Information 

Need to for the objective and for the Eyepiece

02

Part (b) Step 2 Calculation 

It will be the magnification of your telescope

03

Part (c) Step 3 Simplifies 

The two lenses be when you focus on distant objects

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Most popular questions from this chapter

FIGURE CP35.50shows a simple zoom lens in which the magnitudes of both focal lengths are f. If the spacing d<f, the image of the converging lens falls on the right side of the diverging lens. Our procedure of letting the image of the first lens act as the object of the second lens will continue to work in this case if we use a negative object distance for the second lens. This is called a virtual object. Consider an object very far to the left (s≈∞)of the converging lens. Define the effective focal length as the distance from the midpoint between the lenses to the final image.

a. Show that the effective focal length is

feff=f2-fd+12d2d

b. What is the zoom for a lens that can be adjusted from d=12fto d=14f?

In FIGURE P35.30, what are the position, height, and orientation of the final image? Give the position as a distance to the right or left of the lens.

A camera takes a properly exposed photo with a 3mmdiameter aperture and a shutter speed of 1/125s.. What is the appropriate aperture diameter for a 1/1500sshutter speed?

A beam of white light enters a transparent material. Wavelengths for which the index of refraction is n are refracted at angle θ2. Wavelengths for which the index of refraction is n+δn, where δn<<n , are refracted at angle θ2+δθ.

a). Show that the angular separation of the two wavelengths, in radians, is δθ=-(δnn)tanθ2

b). A beam of white light is incident on a piece of glass at 30.0°. Deep violet light is refracted 0.28° more than deep red light. The index of refraction for deep red light is known to be 1.552. What is the index of refraction for deep violet light?

Alpha Centauri, the nearest star to our solar system is 4.3light years away. assume that alpha centauri has a planet with an advanced civilization. professor Dhg, at the planet's Astronomical Institute, wants to build a telescope with which he can find out whether any planets are orbiting our sun.

(a). What is the minimum diameter for an objectives lens that will just barely resolve Jupiter and the sun? The radius of Jupiter's orbit is 780millionkm.Assume λ=600nm.

(b). Building a telescope of the necessary size does not appear to be a major problem. What practical difficulties might prevent professor Dhg's experiment from succeeding?
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