Fringe Width Calculator

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Young's Double-Slit Experiment (YDSE)

Basics

Interference of Waves of Two Intensities

Optical Path Difference

Thin-Film Interference

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Path Difference in YDSE

✖Wavelength can be defined as the distance between two successive crests or troughs of a wave.ⓘ Wavelength [λ]			+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%
✖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%

✖Fringe Width is the distance between two maxima of successive order on one side of the central maxima.ⓘ Fringe Width [β]

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Formula

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Fringe Width

Formula

`"β" = ("λ"*"D")/"d"`

Example

`"51.0717cm"=("26.8cm"*"20.2cm")/"10.6cm"`

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Fringe Width Solution

STEP 0: Pre-Calculation Summary

Formula Used

Fringe Width = (Wavelength*Distance between Slits and Screen)/Distance between Two Coherent Sources
β = (λ*D)/d
This formula uses 4 Variables

Variables Used

Fringe Width - (Measured in Meter) - Fringe Width is the distance between two maxima of successive order on one side of the central maxima.
Wavelength - (Measured in Meter) - Wavelength can be defined as the distance between two successive crests or troughs of a wave.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Wavelength: 26.8 Centimeter --> 0.268 Meter (Check conversion here)
Distance between Slits and Screen: 20.2 Centimeter --> 0.202 Meter (Check conversion here)
Distance between Two Coherent Sources: 10.6 Centimeter --> 0.106 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

β = (λ*D)/d --> (0.268*0.202)/0.106

Evaluating ... ...

β = 0.510716981132076

STEP 3: Convert Result to Output's Unit

0.510716981132076 Meter -->51.0716981132076 Centimeter (Check conversion here)

FINAL ANSWER

51.0716981132076 ≈ 51.0717 Centimeter <-- Fringe Width

(Calculation completed in 00.004 seconds)

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< 6 Young's Double-Slit Experiment (YDSE) Calculators

Resultant Intensity On-Screen of YDSE when Intensities are Different

Go Resultant Intensity = Intensity 1+Intensity 2+2*sqrt(Intensity 1*Intensity 2)*cos(Phase Difference)

Distance from Center to Light Source for Destructive Interference in YDSE

Go Distance from Center to Light Source = (2*Number n-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 = (Number n*Wavelength*Distance between Slits and Screen)/Distance between Two Coherent Sources

Fringe Width

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

Resultant Intensity On-Screen of Young's Double-Slit Experiment

Go Resultant Intensity = 4*Intensity 1*(cos(Phase Difference/2))^2

Resultant Intensity of Incoherent Sources

Go Resultant Intensity = Intensity 1+Intensity 2

Fringe Width Formula

Fringe Width = (Wavelength*Distance between Slits and Screen)/Distance between Two Coherent Sources
β = (λ*D)/d

How is fringe width in Young’s double-slit experiment calculated ?

fringe width in Young’s double-slit experiment is calculated using formula β = λD/d where d is the distance between two coherent sources, D is the distance between slits and screen or photodetector and λ is the wavelength. Note that fringe width is directly proportional to wavelength and inversely proportional to the distance between the two slits.

How to Calculate Fringe Width?

Fringe Width calculator uses Fringe Width = (Wavelength*Distance between Slits and Screen)/Distance between Two Coherent Sources to calculate the Fringe Width, Fringe Width is the distance between two maxima of successive order on one side of the central maxima. Fringe Width is denoted by β symbol.

How to calculate Fringe Width using this online calculator? To use this online calculator for Fringe Width, enter Wavelength (λ), Distance between Slits and Screen (D) & Distance between Two Coherent Sources (d) and hit the calculate button. Here is how the Fringe Width calculation can be explained with given input values -> 5107.17 = (0.268*0.202)/0.106.

FAQ

What is Fringe Width?

Fringe Width is the distance between two maxima of successive order on one side of the central maxima and is represented as β = (λ*D)/d or Fringe Width = (Wavelength*Distance between Slits and Screen)/Distance between Two Coherent Sources. Wavelength can be defined as the distance between two successive crests or troughs of a wave, 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 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.

How to calculate Fringe Width?

Fringe Width is the distance between two maxima of successive order on one side of the central maxima is calculated using Fringe Width = (Wavelength*Distance between Slits and Screen)/Distance between Two Coherent Sources. To calculate Fringe Width, you need Wavelength (λ), Distance between Slits and Screen (D) & Distance between Two Coherent Sources (d). With our tool, you need to enter the respective value for Wavelength, Distance between Slits and Screen & Distance between Two Coherent Sources 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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