Path Difference for Constructive Interference in YDSE Calculator

✖Distance from Center to Light Source for C I is the length from the center of the slit to the light source.ⓘ Distance from Center to Light Source for C I [y_CI]			+10% -10%
✖Distance between Two Coherent Sources is the length at which both coherent sources are placed. Two sources that vibrate with a fixed phase difference between them are said to be coherent.ⓘ Distance between Two Coherent Sources [d]			+10% -10%
✖Distance between Slits and Screen or photodetector is the large distance at which the slits and screen in Young's double-slit experiment.ⓘ Distance between Slits and Screen [D]			+10% -10%

✖Path Difference for Constructive Interference is the difference in distance traveled by the two waves from their respective sources to a given point on the pattern.ⓘ Path Difference for Constructive Interference in YDSE [Δx_CI]

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Path Difference for Constructive Interference in YDSE

Formula

`"Δx"_{"CI"} = ("y"_{"CI"}*"d")/"D"`

Example

`"147.3505cm"=("280.8cm"*"10.6cm")/"20.2cm"`

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Path Difference for Constructive Interference in YDSE Solution

STEP 0: Pre-Calculation Summary

Formula Used

Path Difference for Constructive Interference = (Distance from Center to Light Source for C I*Distance between Two Coherent Sources)/Distance between Slits and Screen
Δx_CI = (y_CI*d)/D
This formula uses 4 Variables

Variables Used

Path Difference for Constructive Interference - (Measured in Meter) - Path Difference for Constructive Interference is the difference in distance traveled by the two waves from their respective sources to a given point on the pattern.
Distance from Center to Light Source for C I - (Measured in Meter) - Distance from Center to Light Source for C I is the length from the center of the slit to the light source.
Distance between Two Coherent Sources - (Measured in Meter) - Distance between Two Coherent Sources is the length at which both coherent sources are placed. Two sources that vibrate with a fixed phase difference between them are said to be coherent.
Distance between Slits and Screen - (Measured in Meter) - Distance between Slits and Screen or photodetector is the large distance at which the slits and screen in Young's double-slit experiment.

STEP 1: Convert Input(s) to Base Unit

Distance from Center to Light Source for C I: 280.8 Centimeter --> 2.808 Meter (Check conversion here)
Distance between Two Coherent Sources: 10.6 Centimeter --> 0.106 Meter (Check conversion here)
Distance between Slits and Screen: 20.2 Centimeter --> 0.202 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Δx_CI = (y_CI*d)/D --> (2.808*0.106)/0.202

Evaluating ... ...

Δx_CI = 1.47350495049505

STEP 3: Convert Result to Output's Unit

1.47350495049505 Meter -->147.350495049505 Centimeter (Check conversion here)

FINAL ANSWER

147.350495049505 ≈ 147.3505 Centimeter <-- Path Difference for Constructive Interference

(Calculation completed in 00.004 seconds)

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< 9 Young's Double-Slit Experiment (YDSE) Calculators

Path Difference in Young's Double-Slit Experiment

Go Path Difference = sqrt((Distance from Center to Light Source+Distance between Two Coherent Sources/2)^2+Distance between Slits and Screen^2)-sqrt((Distance from Center to Light Source-Distance between Two Coherent Sources/2)^2+Distance between Slits and Screen^2)

Distance from Center to Light Source for Destructive Interference in YDSE

Go Distance from Center to Light Source for D I = (2*Integer-1)*(Wavelength*Distance between Slits and Screen)/(2*Distance between Two Coherent Sources)

Distance from Center to Light Source for Constructive Interference in YDSE

Go Distance from Center to Light Source for C I = (Integer+(1/2))*(Wavelength*Distance between Slits and Screen)/Distance between Two Coherent Sources

Path Difference for Constructive Interference in YDSE

Go Path Difference for Constructive Interference = (Distance from Center to Light Source for C I*Distance between Two Coherent Sources)/Distance between Slits and Screen

Path Difference in YDSE given Distance between Coherent Sources

Go Path Difference = Distance between Two Coherent Sources*sin(Angle from Slit Center to Light Source)

Fringe Width

Go Fringe Width = (Wavelength*Distance between Slits and Screen)/Distance between Two Coherent Sources

Path Difference for Destructive Interference in YDSE

Go Path Difference for Destructive Interference = (2*Integer-1)*(Wavelength/2)

Path Difference for Minima in YDSE

Go Path Difference for Minima = (2*Integer+1)*Wavelength/2

Path Difference for Maxima in YDSE

Go Path Difference for Maxima = Integer*Wavelength

Path Difference for Constructive Interference in YDSE Formula

Path Difference for Constructive Interference = (Distance from Center to Light Source for C I*Distance between Two Coherent Sources)/Distance between Slits and Screen
Δx_CI = (y_CI*d)/D

What is fringe Width?

Fringe width is the distance between two consecutive bright or dark fringes in an interference pattern. It depends on the wavelength of the light, the distance between the slits or sources, and the distance from the slits to the screen.

How to Calculate Path Difference for Constructive Interference in YDSE?

Path Difference for Constructive Interference in YDSE calculator uses Path Difference for Constructive Interference = (Distance from Center to Light Source for C I*Distance between Two Coherent Sources)/Distance between Slits and Screen to calculate the Path Difference for Constructive Interference, Path Difference for Constructive Interference in YDSE formula is defined as the minimum distance between two light waves that results in constructive interference, which occurs when the crest of one wave aligns with the crest of another, producing a brighter intensity in the Young's Double Slit Experiment. Path Difference for Constructive Interference is denoted by Δx_CI symbol.

How to calculate Path Difference for Constructive Interference in YDSE using this online calculator? To use this online calculator for Path Difference for Constructive Interference in YDSE, enter Distance from Center to Light Source for C I (y_CI), Distance between Two Coherent Sources (d) & Distance between Slits and Screen (D) and hit the calculate button. Here is how the Path Difference for Constructive Interference in YDSE calculation can be explained with given input values -> 14735.05 = (2.808*0.106)/0.202.

FAQ

What is Path Difference for Constructive Interference in YDSE?

Path Difference for Constructive Interference in YDSE formula is defined as the minimum distance between two light waves that results in constructive interference, which occurs when the crest of one wave aligns with the crest of another, producing a brighter intensity in the Young's Double Slit Experiment and is represented as Δx_CI = (y_CI*d)/D or Path Difference for Constructive Interference = (Distance from Center to Light Source for C I*Distance between Two Coherent Sources)/Distance between Slits and Screen. Distance from Center to Light Source for C I is the length from the center of the slit to the light source, Distance between Two Coherent Sources is the length at which both coherent sources are placed. Two sources that vibrate with a fixed phase difference between them are said to be coherent & Distance between Slits and Screen or photodetector is the large distance at which the slits and screen in Young's double-slit experiment.

How to calculate Path Difference for Constructive Interference in YDSE?

Path Difference for Constructive Interference in YDSE formula is defined as the minimum distance between two light waves that results in constructive interference, which occurs when the crest of one wave aligns with the crest of another, producing a brighter intensity in the Young's Double Slit Experiment is calculated using Path Difference for Constructive Interference = (Distance from Center to Light Source for C I*Distance between Two Coherent Sources)/Distance between Slits and Screen. To calculate Path Difference for Constructive Interference in YDSE, you need Distance from Center to Light Source for C I (y_CI), Distance between Two Coherent Sources (d) & Distance between Slits and Screen (D). With our tool, you need to enter the respective value for Distance from Center to Light Source for C I, Distance between Two Coherent Sources & Distance between Slits and Screen and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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