Two-Slit Interference: Find Slit Separation

In summary, the conversation discusses the use of a two-slit apparatus to observe 33 bright fringes per centimeter on a screen 3.8 m away, with light of wavelength 540 nm. The question is asking for the slit separation, which can be found using the equation dsin(theta) = m*(wavelength) and solving for d. The final solution is found to be the inverse of 33 fringes per cm.
  • #1
rpedroza
2
0

Homework Statement



Using a conventional two-slit apparatus with light of wavelength 540 nm, 33 bright fringes per centimeter are observed on a screen 3.8 m away. What is the slit separation?

Homework Equations


m/x = (2*theta)/wavelength = number of fringes per meter
interence maxima
dsin(theta) =m*(wavelength)


The Attempt at a Solution


i tried solving for theta then using that value to find slit separation d but i am totally confused.
 
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  • #2
i got the answer.
fringe spacing = ((wavelength)*L)/d
L = distance to screen
d = slit separation

the fringe spacing would be the inverse of 33fringes per cm or ((3300)/m)^-1 then just solve for d
 

Related to Two-Slit Interference: Find Slit Separation

1. What is two-slit interference?

Two-slit interference is an optical phenomenon that occurs when a wave, such as light or sound, passes through two narrow slits and creates an interference pattern. This pattern is caused by the overlapping of the waves from the two slits, resulting in areas of constructive and destructive interference.

2. How is the slit separation calculated?

The slit separation, also known as the distance between the two slits, is typically represented by the variable "d". It can be calculated by taking the wavelength of the wave (λ) and dividing it by the distance between the centers of the two slits (D): d = λ/D. This calculation assumes that the slits are parallel and the waves are perpendicular to the slits.

3. Why is two-slit interference important?

Two-slit interference is important because it provides evidence for the wave nature of light and other waves. It also allows scientists to study the properties of waves, such as wavelength and frequency, and can be used to create diffraction patterns to analyze the structure of objects. Additionally, it has practical applications in technology, such as in the development of diffraction gratings for use in spectrometers and lasers.

4. What factors can affect the two-slit interference pattern?

The two-slit interference pattern can be affected by several factors, including the wavelength of the wave, the distance between the slits, the distance between the slits and the screen where the pattern is observed, and the intensity of the wave. Additionally, any disturbances or obstructions in the path of the wave, such as air currents or dust particles, can also affect the pattern.

5. Can the slit separation be varied to alter the interference pattern?

Yes, the slit separation can be varied to alter the interference pattern. Increasing the slit separation will result in a wider interference pattern, while decreasing it will result in a narrower pattern. This is because the wider the slits are, the more the waves will overlap, resulting in a more pronounced interference pattern.

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