How Do You Calculate the Slit Spacing in a Double-Slit Experiment?

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In summary, the problem involves using light from a helium-neon laser with a wavelength of 590 nm to create an interference pattern on a screen 3.42 m away from the two narrow slits. The pattern consists of 12 bright fringes spanning 47 mm. Using the equation for the spacing between fringes, the distance between the slits is calculated to be approximately 4.27 mm. The variables used in the calculation are t for wavelength, L for distance to the screen, and y for the span of the fringes. The accuracy of this solution is uncertain due to conflicting variables and assumptions about the direction of the light.
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Homework Statement


Light from a helium-neon laser (λ=590 nm) is used to illuminate two narrow slits. The interference pattern is observed on a screen 3.42 m behind the slits. Twelve bright fringes are seen, spanning a distance of 47 mm. What is the spacing (in mm) between the slits?


Homework Equations





The Attempt at a Solution


t = wavelength

t= 590 nm
L = 3.42 m
y = 47 mm
12 fringes
so the space between 2 fringes would be 47mm/11 = 4.27 mm

d = tL/y = 4.73 x 10^-4 m

I don't have the answer to this problem so is this the right way to do this?
 
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Does anyone know if this is right?
 
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BuBbLeS01 said:
Does anyone know if this is right?

your variables are a bit confusin. try labeling them. also, are you saying that the light is coming straight out? (because light doesn't usually stay in a straight beam, does it)
 

1. What does "spacing between slits" refer to?

The term "spacing between slits" refers to the distance between two adjacent openings or gaps in a surface or material. In the context of scientific experiments, this can refer to the distance between two narrow openings through which light or particles can pass through.

2. Why is the spacing between slits important in scientific experiments?

The spacing between slits is important in scientific experiments as it can affect the behavior of light or particles passing through them. The distance between the slits can impact the interference patterns observed, and can also affect the diffraction of light or particles. Therefore, precise control and measurement of the spacing between slits is crucial in many experiments.

3. How is the spacing between slits measured in experiments?

The spacing between slits can be measured using various techniques, depending on the type of experiment being conducted. In some cases, a ruler or caliper can be used to directly measure the distance between the slits. In other cases, more advanced techniques such as diffraction gratings or interferometers may be used.

4. What factors can affect the spacing between slits in an experiment?

The spacing between slits can be affected by various factors, such as the material or surface on which the slits are located, the precision of the manufacturing process, and the environmental conditions such as temperature and humidity. Additionally, any physical manipulation or handling of the slits can also impact their spacing.

5. How can I ensure accurate spacing between slits in my experiment?

To ensure accurate spacing between slits in an experiment, it is important to carefully follow the instructions provided by the manufacturer or the experimental procedure. It may also be helpful to use precise measuring tools and techniques, and to minimize any physical manipulation of the slits. Additionally, conducting the experiment in a controlled environment can help to minimize external factors that may affect the spacing between slits.

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