Young's Double-Slit Experiment question

In summary, the problem involves finding the position of the 3rd bright fringe above the central axis in Young's double slit experiment. The light has a wavelength of 500nm and the slits are separated by 0.1mm. A thin parallel sheet of glass with an index of 1.4 is placed in front of the slits. The distance from the slits to the screen is 2 meters. The formula used is a * sin(\theta) = (m*\lambda) - (nd), where a = 0.0001m, m = 3, \lambda = 500nm, n = 1.4, and d = 1 * 10^-6. The unknown distance
  • #1
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Homework Statement


With regard to Young's double slit experiment, locate the position above the central axis of the 3rd bright fringe for light of wavelength 500nm incident on slits separated by 0.1mm, when a thin (0.001mm) parallel sheet of glass of index 1.4 is placed in front of the slits. The distance from the slits to the screen is 2 meters.


Homework Equations


Where do I use the distance to the screen (the 2 meters)? Am I missing something or is it just useless information??


The Attempt at a Solution


a * sin([tex]\theta[/tex]) = (m*[tex]\lambda[/tex]) - (nd)
a=.0001m
m=3
[tex]\lambda[/tex]=500nm
n=1.4
d=1*10^-6

[tex]\theta[/tex] = 0.001
 
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  • #2
They are wanting the position of the 3rd bright fringe from the center. So wouldn't you need to find an angle and use the distance from the slits to the screen to find this unknown distance?
 
  • #3
I got it... Thanks for the help.
 

Related to Young's Double-Slit Experiment question

1. What is the Young's Double-Slit Experiment?

The Young's Double-Slit Experiment is a famous experiment in which light is shone through two parallel slits and the resulting interference pattern is observed. This experiment was first performed by Thomas Young in the early 1800s and has since been replicated and studied by countless scientists.

2. What is the purpose of the Young's Double-Slit Experiment?

The purpose of the Young's Double-Slit Experiment is to demonstrate the wave nature of light and to provide evidence for the wave theory of light proposed by Christian Huygens. This experiment also helps to explain the phenomenon of interference, where two or more waves combine to form a new wave with a different amplitude.

3. How does the Young's Double-Slit Experiment work?

In the experiment, a light source is shone through two parallel slits onto a screen. The light passing through the slits diffracts, or spreads out, and creates an interference pattern on the screen. This pattern consists of bright and dark fringes, which can be explained by the constructive and destructive interference of the waves passing through the slits.

4. What factors affect the interference pattern in the Young's Double-Slit Experiment?

Several factors can affect the interference pattern observed in the Young's Double-Slit Experiment. These include the distance between the slits, the wavelength of the light, and the distance between the slits and the screen. The interference pattern can also be affected by the size and shape of the slits, as well as the intensity of the light source.

5. What are the applications of the Young's Double-Slit Experiment?

The Young's Double-Slit Experiment has many practical applications in fields such as optics, quantum mechanics, and astronomy. It is used to study the behavior of light and can also be used to measure the wavelength of light. This experiment has also been adapted to study other types of waves, such as sound waves and water waves.

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