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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

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?

A diffraction grating has slit spacing d. Fringes are viewed on a screen at distance L. Find an expression for the wavelength of light that produces a first-order fringe on the viewing screen at distanceLfrom the center of the screen.

A radar for tracking aircraft broadcasts a 12GHzmicrowave beam from a 2.0−m-diameter circular radar antenna. From a wave perspective, the antenna is a circular aperture through which the microwaves diffract.

a. What is the diameter of the radar beam at a distance of 30km?

b. If the antenna emits 100kWof power, what is the average microwave intensity at 30km?

A Michelson interferometer using 800nm light is adjusted to have a bright central spot. One mirror is then moved 200nm forward, the other 200nm back. Afterward, is the central spot bright, dark, or in between? Explain.

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.

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