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

In figure p35.26, parallel rays from the left are focused to a point at two locations on the optical axis. find the position of each location, giving your answer as a distance left or right of the lens.

Short Answer

Expert verified

The position of each location, giving your answer as a distance left or right of the lens isS'=-1cm.

Step by step solution

01

Given information 

We need to find the image distance for the mirror .

02

Simplification 

By using the formula, we have to solve S'

S'=SfS-f

Here, Sis the distance between matter, fis the focal length of the mirror andS'is the position of the location.

Substituting the value in equation,

S'=(3cm)+(-1.5cm)(3cm)-(-1.5cm)

S'=-4.5cm24.5cm

S'=-1cm.

03

Diagrammatic representation

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.

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

Two converging lenses with focal lengths of 40cmand 20cmare 10cmapart. A 2.0cmtall object is 15cmin front of the40cmfocal-length lens.

a. Use ray tracing to find the position and height of the image. Do this accurately using a ruler or paper with a grid, then make measurements on your diagram.

b. Calculate the image position and height. Compare with your ray-tracing answers in part a.

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 youโ€™re farsighted, and, like most people, your two eyes have different lens prescriptions. Your left eye uses a lens of power +4.5Dand your right eyeโ€™s lens is +3.0D. 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?

The resolution of a digital cameras is limited by two factors diffraction by the lens, a limit of any optical system, and the fact that the sensor is divided into discrete pixels. consirer a typical point-and--shoot camera that has a 20-mm-focal-lengthlens and a sensor with 2.5-ฮผm-widepixels.

(a) . First, assume an ideal, diffractionless lens, at a distance of 100m,what is the smallest distance, in cmbetween two point sources of light that the camera can barely resolve? in answering this question, consider what has to happen on the sensor to show two image points rather than one you can use S1=fbecauses>>f.

(b) . You can achieve the pixel-limied resolution of part a only if the diffraction which of each image point no greater than the diffraction width of image point is no greater than 1pixel in diameter. for what lens diameter is the minimum spot size equal to the width of a pixel ? use 600nmfor the wavelength of light.

(c). what is the f-numberof the lens for the diameter you found in part b? your answer is a quite realistic value of the f-numberat which a camera transitions from being pixel limited to being diffraction limited for f-numbersmaller than this (larger-diameter apertures), the resolution is limited by the pixel size and does not change as you change the apertures. for f-numberlarger than this (smaller-diameter apertures). the resolution is limited by diffraction and it gets worse as you "stop down" to smaller apertures.

Youโ€™ve been asked to build a telescope from a 2.0xmagnifying lens and a 5.0xmagnifying lens.

a. What is the maximum magnification you can achieve?

b. Which lens should be used as the objective? Explain.

c. What will be the length of your telescope?

Ellen wears eyeglasses with the prescription-1.0D.

a. What eye condition does Ellen have?

b. What is her far point without the glasses?

See all solutions

Recommended explanations on Physics Textbooks

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