Is the Calculation of 4 Fringes Correct Instead of 5?

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In summary, the number of fringes in an interference pattern can be calculated using the equation N = (2d)/λ, where N is the number of fringes, d is the distance between the two slits, and λ is the wavelength of the light source. This calculation is significant because it allows us to determine the wavelength of the light source and gather information about its properties. The number of fringes cannot be negative and increases as the distance between the slits is increased. It is also not possible to have a fractional number of fringes as they are discrete entities.
  • #1
Miike012
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Question are in paint doc. My answer is in red... I believe the answer is 4 and not 5. Please someone let me know if I'm correct.
 

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The single-slit minimum cannot be at the 5th fringe on one side, as this has to be bright. The minimum has to be between 5 and 6, so the second minimum is somewhere between 10 and 12 (not inclusive). This gives 5 or 6 as possible answers.
 

1. How do you calculate the number of fringes in an interference pattern?

The number of fringes in an interference pattern can be calculated using the equation:
N = (2d)/λ, where N is the number of fringes, d is the distance between the two slits, and λ is the wavelength of the light source.

2. What is the significance of calculating the number of fringes?

The number of fringes in an interference pattern is directly related to the wavelength of the light source. By calculating the number of fringes, we can determine the wavelength of the light being used, which can provide valuable information about the properties of the light source.

3. Can the number of fringes be negative?

No, the number of fringes cannot be negative. It represents the total number of bright or dark bands in an interference pattern and is always a positive integer.

4. How does the number of fringes change when the distance between the slits is increased?

As the distance between the slits is increased, the number of fringes in the interference pattern also increases. This is because the greater the distance, the longer the path length difference between the two waves, resulting in more interference.

5. Is it possible to have a fractional number of fringes?

No, it is not possible to have a fractional number of fringes. Fringes are discrete entities and cannot be divided into smaller parts. Therefore, the number of fringes is always a whole number.

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