Determine the slit-with and slit-distance of a double slit laser diffraction

In summary, using a parallel laser light with a wavelength of 633 nm, incident perpendicular to a double slit, a pattern can be seen on a screen 2.50 m behind the double slit. The formulas for determining the slit-with and slit-distance are b = (λ*L)/(y(diffmin)) and d = (λ*L)/(y(max)). To obtain the values of y(diffmin) and y(max) from the figure, the locations of the two first-order single-slit diffraction minima and the locations of the two first-order double-slit interference maxima need to be identified. The answer to the problem is b = 0.099 mm and d = 0.30 mm.
  • #1
Firben
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Parallel laser light with wavelength 633 nm are incident perpendicular against a double slit. 2.50 m behind the double slit is a screen where the pattern can be seen (link below). Determine with the help of the figure the slit-with and slit-distance.

http://s716.photobucket.com/albums/ww168/Pitoraq/?action=view&current=DSC_01821.jpg

Formulas:

Slitwith:

b = slithwith

bSin(v) = λ*m

where Sin(v) ~ v = y/L

b = (λ*L)/(y(diffmin))

Slit-distance:

d = (λ*L)/(y(max))

d = distance
How can i get y(diffmin) and y(max) out of the figure ?(ignore my measurment in the figure) The answer should be b = 0.099 mm and d = 0.30 mm
 
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  • #2
Hi Firben. The figure shows the combined effect of double slit interference and single slit diffraction. Can you tell us from the figure the locations of the two first-order single-slit diffraction minima and the locations of the two first-order double-slit interference maxima?

This might help: http://en.wikipedia.org/wiki/File:Single_slit_and_double_slit4.jpg
 
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1. What is a double slit laser diffraction?

A double slit laser diffraction is a phenomenon in which a laser beam is passed through two closely spaced parallel slits, creating an interference pattern on a screen or surface.

2. What is the purpose of determining the slit-width and slit-distance in a double slit laser diffraction?

The slit-width and slit-distance are important parameters in understanding the behavior of the laser beam and the resulting interference pattern. They can help determine the wavelength of the laser, the spacing between the two slits, and the angle of diffraction.

3. How is the slit-width and slit-distance measured?

The slit-width can be measured using a ruler or caliper, by directly measuring the width of the slits. The slit-distance can be measured by placing a mirror behind the slits and measuring the distance between the mirror and the slits.

4. Can the slit-width and slit-distance be adjusted?

Yes, the slit-width and slit-distance can be adjusted to change the properties of the interference pattern. A smaller slit-width will result in a wider interference pattern, while a larger slit-width will result in a narrower pattern. Similarly, changing the slit-distance will also affect the interference pattern.

5. What factors can affect the accuracy of determining the slit-width and slit-distance?

The accuracy of determining the slit-width and slit-distance can be affected by factors such as the precision of the measuring instruments, the stability of the laser beam, and environmental factors such as air currents or vibrations. It is important to minimize these factors for more accurate measurements.

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