Finding the separation of two slits

In summary, the conversation discusses finding the value of m to use in an equation and using m = 1 to solve a problem. The relevant equations and problem statement are mentioned. The formula for finding the location of bright fringes is also mentioned, along with the distance between consecutive fringes. Finally, the conversation prompts the question of what happens when the first equation is subtracted from the second.
  • #1
asilvester635
12
0

Homework Statement


How do I know what value of m to use when using the equation? Here we had to use m = 1 to find the answer.

Please refer to part 3 for the problem statement.

Homework Equations


Please refer to part 3 for the relevant equations.

The Attempt at a Solution


Exam 1.jpeg
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  • #2
The formula gives you the location of the bright fringes. You are given the distance between consecutive friges, not the position of a particular one.
 
  • #3
asilvester635 said:

Homework Statement


How do I know what value of m to use when using the equation? Here we had to use m = 1 to find the answer.

Please refer to part 3 for the problem statement.

Homework Equations


Please refer to part 3 for the relevant equations.

The Attempt at a Solution


View attachment 223112 [/B]
"Adjacent bright fringes are 4 mm apart" means that the the distance between the m+1-th bright fringe and the m-th one is 4 mm.
## y_m =m \frac{λL}{d}## and
##y_{m+1} =(m+1) \frac{λL}{d}##
and ##y_{m+1}-y_m= 4 mm##
Subtract the firs equation from the second one, what do you get?
 

1. What is the purpose of finding the separation of two slits?

The purpose of finding the separation of two slits is to understand the interference pattern that is created when light is passed through them. This can help in determining the wavelength of the light and other properties of the light source.

2. How is the separation of two slits measured?

The separation of two slits can be measured by using a ruler or a measuring device and carefully measuring the distance between the two slits. This distance is usually measured in millimeters or centimeters.

3. What factors can affect the separation of two slits?

The separation of two slits can be affected by various factors such as the wavelength of the light, the distance between the light source and the slits, the width of the slits, and the material of the slits. These factors can impact the interference pattern and ultimately the measurement of the separation of the slits.

4. What is the relationship between the separation of two slits and the interference pattern?

The separation of two slits is directly related to the interference pattern that is created when light is passed through them. The interference pattern is determined by the distance between the slits, and any changes in the separation can result in a different interference pattern.

5. How is the separation of two slits used in real-world applications?

The separation of two slits is used in various real-world applications such as in diffraction grating, which is used in spectrometers to analyze the light emitted by different sources. It is also used in optical instruments such as cameras and telescopes to improve the resolution and clarity of images.

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