Young's double slit experiment with two sets of slits

In summary, the conversation discusses the formula for interference minima, which is asinΘ=nλ/2 where n=1,3,5,7... The formula was used to solve for the first order minima, but it was discovered to be incorrect. The correct formula can be found on the provided link.
  • #1
Apashanka das
32
0
1. The problem statement, all variables and given/known da
15187116671331187855915.jpg
15187116671331187855915.jpg

Homework Equations


Interference minima is asinΘ=nλ/2 where n=1,3,5,7...
[/B]

The Attempt at a Solution


Putting ab/(2sqrt(b^2/4+d^2))=λ/2 for first order minima
And solving for d I get (b/2)*sqrt((2a/λ)^2-1) in which only the 2 factor differs in front of a in the square root
from the correct ans which is option 2 in the question
I may be wrong but where I didn't get it?
 

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  • #2
Why did you start with the condition for interference minima? The passage of light through the first slit is diffraction.
 
  • #3
Apashanka das said:
1. The problem statement, all variables and given/known daView attachment 220386 View attachment 220386

Homework Equations


Interference minima is asinΘ=nλ/2 where n=1,3,5,7...
[/B]
Check the formula in red.
 
  • #4
ehild said:
Check the formula in red.
yes I have used this formula
 

What is Young's double slit experiment with two sets of slits?

Young's double slit experiment is a classic experiment in physics that demonstrates the wave-like nature of light. It involves shining a beam of light through two narrow slits and observing the interference pattern that is created on a screen placed behind the slits. In the case of two sets of slits, the experiment is essentially the same, but it involves two separate sets of slits instead of just one.

What is the purpose of using two sets of slits in Young's double slit experiment?

By using two sets of slits, we can observe interference patterns that are more complex and demonstrate the principles of wave interference more clearly. It also allows us to compare and contrast the interference patterns created by each set of slits and understand how they interact with each other.

How does the distance between the two sets of slits affect the interference pattern in Young's double slit experiment?

The distance between the two sets of slits determines the phase difference between the waves passing through them, which in turn affects the interference pattern. When the distance is small, the waves are in phase and create a bright fringe, while a larger distance leads to a phase difference and the creation of a dark fringe.

Can Young's double slit experiment with two sets of slits be performed with any type of wave?

Yes, the experiment can be performed with any type of wave, as long as the wavelength is small enough to pass through the slits. This includes not only light waves, but also sound waves, water waves, and other types of waves.

What is the significance of Young's double slit experiment with two sets of slits in modern physics?

Young's experiment has had a major impact on our understanding of the wave-particle duality of light and other particles. It has also been used to study the properties of matter and has led to the development of technologies such as diffraction gratings and interferometers. Additionally, it continues to be a fundamental experiment in quantum mechanics and is still studied and replicated in modern research.

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