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Chapter 35: Q. 48 (page 1019)

Your task in physics laboratory is to make a microscope from two lenses. One lens has a focal length of 2.0 cm, the other 1.0 cm. You plan to use the more powerful lens as the objective, and you want the eyepiece to be 16 cm from the objective.

a. For viewing with a relaxed eye, how far should the sample be from the objective lens?

b. What is the magnification of your microscope?

Short Answer

Expert verified

Simplify the objective lens viewing with a relaxed eye

Step by step solution

01

Part (a) step1 : Given Information 

Simplify the objective lens viewing with a relaxed eye

02

Part (a) Step 2 : Calculation

03

Part (b) Step 1 : Given Information 

The magnification of microscope

04

Part (b) Step 2 : Simplify 

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Most popular questions from this chapter

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 20xtelescope has a 12cmdiameter objective lens. What minimum diameter must the eyepiece lens have to collect all the light rays from an on-axis distant source?

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.

A 15cm-focal-length converging lens is 20cmto the right of a 7.0cm-focal-length converging lens. A 1.0cm-tall object is distance L to the left of the first lens.

a. For what value of L is the final image of this two-lens system halfway between the two lenses?

b. What are the height and orientation of the final image?

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-渭m-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.
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