Login Registrieren

Warning: foreach() argument must be of type array|object, bool given in /var/www/html/web/app/themes/studypress-core-theme/template-parts/header/mobile-offcanvas.php on line 20

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

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

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

The lens shown in FIGURE CP $35.49$ is called an achromatic doublet, meaning that it has no chromatic aberration. The left side is flat, and all other surfaces have radii of curvature R.

a. For parallel light rays coming from the left, show that the effective focal length of this two-lens system is $f = R / 12 n_{2} - n_{1} - 12$ , where localid="1648757054673" $n_{1}$ and $n_{2}$ are, respectively, the indices of refraction of the diverging and the converging lenses. Don’t forget to make the thin-lens approximation.

b. Because of dispersion, either lens alone would focus red rays and blue rays at different points. Define $∆ n_{1}$ and $∆ n_{2}$ as $n_{b l u e} - n_{r e d}$ for the two lenses. What value of the ratio $∆ n_{1} / ∆ n_{2}$ makes $f_{b l u e} = f_{r e d}$ for the two-lens system? That is, the two-lens system does not exhibit chromatic aberration.

c. Indices of refraction for two types of glass are given in the table. To make an achromatic doublet, which glass should you use for the converging lens and which for the diverging lens? Explain

$n_{b l u e}$ $n_{r e d}$

Crown glass 1.525 1.517

Flint glass 1.632 1.616

d. What value of R gives a focal length of $10.0 c m$ ?

What is the $f - n u m b e r$ of a lens with a $35 m m$ focal length and a $7.0 m m$ diameter aperture?

A standardized biological microscope has an $8.0 m m$ focal length objective. what focal-length eyepiece should be used to achieve a total magnification of $100 x$ ?

Two light bulbs are $1.0 m$ apart. from, what distance can these light bulbs be marginally resolved by a small telescope with a $4.0 - c m - d i a m e t e r$ objective lens? assume that the lens is diffraction limited and $λ = 600 n m$ .

A magnifier has a magnification of $5 x$ . How far from the lens should an object be held so that its image is seen at the near-point distance of $25 c m$ ? Assume that your is immediately behind the lens.

See all solutions

Recommended explanations on Physics Textbooks

Radiation

Read Explanation

Modern Physics

Read Explanation

Classical Mechanics

Read Explanation

Measurements

Read Explanation

Space Physics

Read Explanation

Oscillations

Read Explanation

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free