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Chapter 33: Q. 25 (page 956)

A 0.50-mm-diameter hole is illuminated by light of wavelength 550nm. What is the width (in mm) of the central maximum on a screen 2.0m behind the slit?

Short Answer

Expert verified

The Width of the cental screen is4.8mm

Step by step solution

01

Introduction

When light passes through a narrow opening, such as an aperture with a low f-number, it causes lens diffraction, which is an optical interference.

When the wavelength of light and the size of the opening are about the same, lens diffraction occurs.

02

Find width 

In a circular-aperture experiment, the central width is given by

w=2.44位LD

whereDis the aperture diameter and Lis the distance to the screen

03

Find width 

In our scenario, we'll be able to

w=2.44位LD

localid="1650215942766" w=2.44脳5脳10-7m脳2m5脳10-4m

=4.88脳10-3m

=4.88mm

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Most popular questions from this chapter

FIGURE shows the light intensity on a screen 2.5mbehind an aperture. The aperture is illuminated with light of wavelength 620nm.

a. Is the aperture a single slit or a double slit? Explain.

b. If the aperture is a single slit, what is its width? If it is a double slit, what is the spacing between the slits?

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a. With no voltage applied, is the output bright (switch closed, optical signal passing through) or dark (switch open, no signal)? Explain.

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