Finding maximum in interference pattern

In summary, the conversation discussed a three-slit system and the location of the first maximum in the interference pattern. The equation dsinθ = mλ/N was used to calculate the position of the first maximum, with the correct answer being X = 15.20°. The maximum corresponds to the bright region in the interference pattern, while the minimum corresponds to the dark region.
  • #1
Les talons
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Homework Statement


In a three-slit system, the first minimum occurs at an angular position of 5.00°. Where is the first maximum?

Homework Equations


dsinθ = mλ/N

The Attempt at a Solution


dsin5° = λ
dsinX = λ/3
sinX = 3sin5°
X = 1.66°

I'm not sure if this is the right equation to find the first maximum in the interference pattern. Also, is the maximum the bright region and the minimum the dark region? Thanks all.
 
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  • #2
I get 15,2o when I solve for X?
But your approach is correct, yes.
And yes, the maximum (intensity) is the bright region
and the minimum (intensity of light) is the dark region.
 
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Likes Les talons
  • #3
Oh geez, what a silly mistake of dividing by three instead of multiplying by three... :confused: Thanks for the feedback.
 

1. What is an interference pattern?

An interference pattern is a phenomenon that occurs when two or more waves overlap and interact with each other. This results in a series of alternating bright and dark regions, known as interference fringes, that are formed due to the constructive and destructive interference of the waves.

2. How do you find the maximum in an interference pattern?

To find the maximum in an interference pattern, you can use the equation: maxima = n * wavelength * d / a, where n is the order of the maximum, wavelength is the wavelength of the waves, d is the distance between the slits or sources, and a is the distance from the slits or sources to the screen.

3. What factors can affect the maximum in an interference pattern?

The maximum in an interference pattern can be affected by the distance between the slits or sources, the wavelength of the waves, and the distance from the slits or sources to the screen. Additionally, factors such as the intensity and coherence of the waves, as well as any obstructions or diffraction effects, can also impact the maximum in an interference pattern.

4. What is the difference between a bright maximum and a dark maximum in an interference pattern?

In an interference pattern, a bright maximum occurs when the waves from the two sources interfere constructively, resulting in a bright fringe. On the other hand, a dark maximum occurs when the waves interfere destructively, resulting in a dark fringe. The distance between these fringes is determined by the wavelength of the waves and the distance between the sources.

5. Can the maximum in an interference pattern be calculated without knowing the wavelength of the waves?

No, the maximum in an interference pattern cannot be calculated without knowing the wavelength of the waves. This is because the maximum is dependent on the wavelength, as seen in the equation mentioned in question 2. Therefore, knowing the wavelength is crucial in finding the maximum in an interference pattern.

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