Solving for Mica Thickness in Double Slit Interference Arrangement

In summary, the conversation discusses a problem involving a double slit interference arrangement and a thin flake of mica. The goal is to find the thickness of the mica given certain conditions and using calculations involving path difference and phase difference. Hints and tips are provided to guide the solution process.
  • #1
Callisto
41
0
Double slit arrangment??

Can anybody help me with this problem?

A thin flake of mica(n=1.58) is used to cover one slit of a double slit interference arrangment.The central point on the viewing screen is now covered by what had been the 5th bright fringe before the mica was used. Find the thickness of the mica if light of wavelength 572nm is used?

Where do i start with such a problem?
Any hints or tips are very much appreciated.

Callisto :biggrin:
 
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  • #2
The problem is that of finding the path difference or phase difference between the two systems. Calculate the diffraction problem without the mica involved. From there you will know the phase and can go on to solve the other part.

dt
 
  • #3
the path differnce will be

[tex] [n-1]t - \frac{dy}{D} [/tex]

Now ,given condition [tex] y= \frac{5 \lambda D}{d}[/tex]

and [tex] [n-1]t - \frac{dy}{D} =0[/tex] for central maxima/point
:smile:
 
  • #4
Thankyou for your replies,
they where of great assistance
 

1. What is a double slit arrangement?

A double slit arrangement is an experimental setup used to demonstrate the wave-like nature of matter. It consists of two parallel slits through which a beam of particles or waves can pass.

2. What is the concept behind the double slit experiment?

The double slit experiment shows that particles behave like waves when they are not observed. This means that they can interfere with each other and create a pattern of alternating bright and dark spots on a screen behind the slits.

3. How does the distance between the slits affect the interference pattern?

The distance between the slits directly affects the spacing of the interference pattern. When the slits are closer together, the spacing between the bright and dark spots on the screen is wider, and vice versa.

4. Can the double slit experiment be performed with different types of particles?

Yes, the double slit experiment has been performed with various types of particles, including electrons, protons, and even large molecules. The results have consistently shown that these particles exhibit wave-like behavior.

5. What implications does the double slit experiment have in quantum mechanics?

The double slit experiment is one of the fundamental experiments that led to the development of quantum mechanics. It shows that particles can exist in a state of superposition, meaning they can behave as both a particle and a wave at the same time. This has significant implications in understanding the behavior of matter at the subatomic level.

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