Equations 4 Wave Propagations:
https://medium.com/jungletronics/diffraction-classical-wave-behaviour-1dbbce9b2d53
Diffraction: Classical Wave Behaviors
Collection of all the links I used to understand the subject — Collection Episode #00
Fundamental - Wave Propagation
1- Determine the wavelength of the corresponding light:
Remember that L is the distance from the slot to the screen, which are 570 - 270 = 300 mm (radians)
2 - Taking a as the single slit distance, to know the wavelength, use:
Where a = 60 μm 
* sin(0.011332848) = 1 * 
Data from Experiment #1 - Red Laser | |||
Fringes |
|
| Wavelength (nm) |
(-2/0) | -6.80 | -0.022662785 | +1359 / 2 |
(-1/0) | -3.40 | -0.011332848 | +679.95 |
(1/0) | +3.40 | +0.011332848 | +679.95 |
(2/0) | +6.80 | +0.02662785 | +1359.88 / 2 |
Average Wavelength (nm) | 679,945 | ||
Experiments nº2 to nº5 — Determination of wavelength of other colors: Orange, Yellow, Green and Blue incidents — Slot option “Wire of hair”
Data from Experiment #2 - Orange Laser | |||
Fringes |
|
| Wavelength (nm) |
(-2/0) | -6.00 | -0.0199973 | +1199.76 / 2 |
(-1/0) | -3.00 | -0.0099967 | +599.97 |
(1/0) | +3.00 | +0.0099967 | +599.97 |
(2/0) | +6.00 | +0.0199973 | +1199.76.88 / 2 |
Average Wavelength (nm) | 599,925 | ||
Data from Experiment #3 - Yellow Laser | |||
Fringes |
|
| Wavelength (nm) |
(-2/0) | -5.50 | -0.018331279 | +1099.815185 / 2 |
(-1/0) | -2.75 | -0.0091664 | +549.97 |
(1/0) | +2.75 | +0.0091664 | +549.97 |
(2/0) | +5.50 | +0.018331279 | +1099.815185 / 2 |
Average Wavelength (nm) | 549,939 | ||
Data from Experiment #4 - Green Laser | |||
Fringes |
|
| Wavelength (nm) |
(-2/0) | -5.20 | -0.017331597 | +1039.8438 / 2 |
(-1/0) | -2.60 | -0.0086664 | +519.98 |
(1/0) | +2.60 | +0.008664 | +519.98 |
(2/0) | +5.20 | +0.017331597 | +1039.8438 / 2 |
Average Wavelength (nm) | 519.95095 | ||
Data from Experiment #5 - Blue Laser | |||
Fringes |
|
| Wavelength (nm) |
(-2/0) | -4.50 | -0.014998 | +899.8987 / 2 |
(-1/0) | -2.25 | -0.0074998 | +449.98 |
(1/0) | +2.25 | +0.0074998 | +449.98 |
(2/0) | +4.50 | +0.014998 | + 899.8987 / 2 |
Average Wavelength (nm) | 449,96467 | ||
9 - Determine the SLOT measurements:
For the angle calculation:
Now using the same equation
Where d is equal to the slot distance, that is the incognito:
(RED)
Data from Experiment #6 - RED Laser → 𝝀 = 632.8 nm | |||
Fringes |
|
| Dist. between slots (μm) |
(-1/0) | -7.20 | 0.022496 | 28.13156361 |
(0/1) | +7.20 | 0.022496 | 28.13156361 |
Now for ORANGE LASER:
For the angle calculation:
Now using the same equation
Data from Experiment #7 - ORANGE Laser → 𝝀 = 577 nm | |||
Fringes |
|
| Dist. between slots (μm) |
(-1/0) | -6.40 | 0.022496 |
|
(0/1) | +6.40 | 0.022496 |
|
Now for YELLOW LASER:
For the angle calculation:
Now using the same equation
Data from Experiment #8 - YELLOW Laser → 𝝀 = 605 nm | |||
Fringes |
|
| Dist. between slots (μm) |
(-1/0) | -6.40 | 0.022496 |
|
(0/1) | +6.40 | 0.022496 |
|
Now for GREEN LASER:
For the angle calculation:
Now using the same equation
Data from Experiment #9 - GREEN Laser → 𝝀 = 532 nm | |||
Fringes |
|
| Dist. between slots (μm) |
(-1/0) | -5.70 | 0.017810616 |
|
(0/1) | +5.70 | 00.017810616 |
|
Now for BLUE LASER:
For the angle calculation:
Now using the same equation
Data from Experiment #10 - BLUE Laser → 𝝀 = 450 nm | |||
Fringes |
|
| Dist. between slots (μm) |
(-1/0) | 4.80 | 0.014998875 |
|
(0/1) | 4.80 | 0.014998875 |
|
Distance Average | 30 μm | ||
So, For
THE DOUBLE SLOT I = 30 μm
Repeating for the other slots:
THE DOUBLE SLOT II = 40 μm
THE DOUBLE SLOT III = 50 μm
That’s it!
Thank you for reading. o/
Porto Velho, RO - Brazil - 13/06/2022