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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

Light from a helium-neon laser (位=633nm)passes through a circular aperture and is observed on a screen 4.0mbehind the aperture. The width of the central maximum is2.5cm. What is the diameter (in mm) of the hole?

FIGURE P33.56 shows the light intensity on a screen behind a circular aperture. The wavelength of the light is 500nmand the screen is 1.0mbehind the slit. What is the diameter (in mm) of the aperture?

You want to photograph a circular diffraction pattern whose central maximum has a diameter of 1.0cm. You have a helium neon laser (位=633nm)and a0.12-mm-diameter pinhole. How far behind the pinhole should you place the screen that鈥檚 to be photographed?

FIGUREP33.36shows the light intensity on a screen behind a double slit. The slit spacing is 0.20mmand the screen is 2.0mbehind the slits. What is the wavelength (in nm) of the light?

Light of wavelength550nm illuminates a double slit, and the interference pattern is observed on a screen. At the position of the m=2 bright fringe, how much farther is it to the more distant slit than to the nearer slit?
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