Optics: Solving for Slit Size Missing Fringes

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In summary, a laser light is projected through two small slits that are 1mm apart, creating a fringe pattern on a screen. However, the 4th and 8th bright fringes are missing. The question is asking for the size of the slit(s). The equation used to solve this problem is asinΘ=mλ. It is important to show the reasoning and working in order to correctly count the dark fringes and solve the problem.
  • #1
Feodalherren
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Homework Statement


Laser light is projected into two small slits that are 1mm apart. The fringe pattern on the screen is missing the 4th bright fringe. That is, there is a bright center fringe and three more bright fringes to either side of the central bright fringe, but the 4th one is missing. For that matter, the 8th is missing too. What is the size of the slit(s)?


Homework Equations


asinΘ=mλ


The Attempt at a Solution


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  • #2
That's quite messy - it is difficult to see what you've done.
Please show your reasoning with your working.
The marking seems pretty straight forward - you have miscounted the dark fringes, and attempted to count the dark fringes of the wrong diffraction pattern.
 

Related to Optics: Solving for Slit Size Missing Fringes

1. What is the purpose of solving for slit size missing fringes in optics?

Solving for slit size missing fringes in optics is important because it allows us to accurately measure and understand the behavior of light passing through a narrow slit. This information is useful in a variety of applications, such as designing optical instruments and understanding diffraction patterns.

2. How do you calculate the missing fringe spacing in optics?

The missing fringe spacing in optics can be calculated using the equation d = λL/a, where d is the distance between fringes, λ is the wavelength of light, L is the distance between the slit and the screen, and a is the width of the slit. This equation is known as the grating equation.

3. Can the missing fringe spacing be adjusted in optics?

Yes, the missing fringe spacing can be adjusted in optics by changing the width of the slit. A wider slit will result in a larger missing fringe spacing, while a narrower slit will result in a smaller missing fringe spacing.

4. What are the factors that affect the missing fringe spacing in optics?

The missing fringe spacing in optics is primarily affected by the wavelength of light, the distance between the slit and the screen, and the width of the slit. Other factors that may have a minor influence include the type of light source and any obstructions in the path of the light.

5. How does solving for slit size missing fringes contribute to our understanding of optics?

Solving for slit size missing fringes allows us to better understand the behavior of light and how it interacts with narrow openings. This knowledge can be applied in various fields, such as optics, physics, and engineering, to improve the design and functionality of devices that use light, such as cameras, telescopes, and microscopes.

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