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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?

Short Answer

Expert verified

(a) The Aperture is a single-slit

(b) Aperture distance of Spacing between the slits,a=155μm

Step by step solution

01

Single-slit experiment

In a single slit experiment, monochromatic light is sent via a single slit of finite width, and an identical pattern appears on the screen. The width and intensity of the single-slit diffraction pattern decrease as we go away from the central maximum, unlike the double-slit diffraction pattern.

02

Find the aperture is single-slit or double-slit (part a)

Because the intensity of the center bright spot is significantly more than that of the secondary maxima, and the central bright spot's breadth is similarly greater than that of the secondary maxima, the presented graph indicates a single-slit experiment pattern.

03

Find spacing between the slits (part b)

The position of the black fringes in the case of a single slit is given as

yp=pLλa

Looking at the figure, we can see that the first black fringe is 1cm away from the center of the primary brilliant point. As a result, given the assumption thaty1=1cm, we may rearrange the previous equation to compute the width of the slit a.

a=Lλy1=(2.5m)×620×10-9m1×10-2m

a=155μm

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Most popular questions from this chapter

a. Green light shines through a 100-mm-diameter hole and is observed on a screen. If the hole diameter is increased by 20%, does the circular spot of light on the screen decrease in diameter, increase in diameter, or stay the same? Explain.

b. Green light shines through a 100−μm-diameter hole and is observed on a screen. If the hole diameter is increased by20%, does the circular spot of light on the screen decrease in diameter, increase in diameter, or stay the same? Explain.

A diffraction grating with 600linesmmis illuminated with light of wavelength 510nm. A very wide viewing screen is2.0m behind the grating.
aWhat is the distance between the twom=1 bright fringes?
bHow many bright fringes can be seen on the screen?

A double-slit experiment is set up using a helium-neon laser (λ=633nm). Then a very thin piece of glass (n=1.50) is placed over one of the slits. Afterward, the central point on the screen is occupied by what had been the m=10 dark fringe. How thick is the glass?

FIGURE shows the light intensity on a viewing screen behind a circular aperture. What happens to the width of the central maximum if

a. The wavelength of the light is increased?

b. The diameter of the aperture is increased?

c. How will the screen appear if the aperture diameter is less than the light wavelength?

A laser beam illuminates a single, narrow slit, and the diffraction pattern is observed on a screen behind the slit. The first secondary maximum is 26mmfrom the center of the diffraction pattern. How far is the first minimum from the center of the diffraction pattern?

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