Fringe Width Calculator

✖Wavelength is the distance between two consecutive peaks or troughs of a wave, which is a fundamental property of a wave that characterizes its spatial periodicity.ⓘ Wavelength [λ]			+10% -10%
✖Distance between Slits and Screen is the distance between the slits and the screen in a Young's double-slit experiment, used to measure the interference pattern of light waves.ⓘ Distance between Slits and Screen [D]			+10% -10%
✖Distance between Two Coherent Sources is the distance between two sources that emit waves in phase with each other, resulting in an interference pattern.ⓘ Distance between Two Coherent Sources [d]			+10% -10%

✖Fringe Width is the distance between two consecutive bright or dark fringes in an interference pattern, typically measured from the center of a bright fringe to the center of the next bright fringe.ⓘ Fringe Width [β]

⎘ Copy

👎

Formula

✖

Fringe Width

Formula

`"β" = ("λ"*"D")/"d"`

Example

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

Calculator

LaTeX

Reset

👍

Download Wave Optics Formulas PDF PDF Image

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 consecutive bright or dark fringes in an interference pattern, typically measured from the center of a bright fringe to the center of the next bright fringe.
Wavelength - (Measured in Meter) - Wavelength is the distance between two consecutive peaks or troughs of a wave, which is a fundamental property of a wave that characterizes its spatial periodicity.
Distance between Slits and Screen - (Measured in Meter) - Distance between Slits and Screen is the distance between the slits and the screen in a Young's double-slit experiment, used to measure the interference pattern of light waves.
Distance between Two Coherent Sources - (Measured in Meter) - Distance between Two Coherent Sources is the distance between two sources that emit waves in phase with each other, resulting in an interference pattern.

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 00.020 seconds)

You are here -

Home » Physics » Wave Optics » Basic Physics » Optics and Waves » Optics » Young's Double-Slit Experiment (YDSE) » Fringe Width

Credits

Created by Payal Priya

Birsa Institute of Technology (BIT), Sindri

Payal Priya has created this Calculator and 600+ more calculators!

Verified by Team Softusvista

Softusvista Office (Pune), India

Team Softusvista has verified this Calculator and 1100+ more calculators!

< 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

Fringe Width Formula

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

What is fringe?

In the context of interference experiments, a fringe is a band or pattern of alternating light and dark regions formed due to the constructive and destructive interference of light waves. These fringes appear on the observation screen in experiments like Young's Double-Slit Experiment.

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 formula is defined as a measure of the distance between two consecutive bright or dark fringes in an interference pattern, which is a fundamental concept in optics and physics, used to describe the distribution of light intensity in a given region. 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 formula is defined as a measure of the distance between two consecutive bright or dark fringes in an interference pattern, which is a fundamental concept in optics and physics, used to describe the distribution of light intensity in a given region and is represented as β = (λ*D)/d or Fringe Width = (Wavelength*Distance between Slits and Screen)/Distance between Two Coherent Sources. Wavelength is the distance between two consecutive peaks or troughs of a wave, which is a fundamental property of a wave that characterizes its spatial periodicity, Distance between Slits and Screen is the distance between the slits and the screen in a Young's double-slit experiment, used to measure the interference pattern of light waves & Distance between Two Coherent Sources is the distance between two sources that emit waves in phase with each other, resulting in an interference pattern.

How to calculate Fringe Width?

Fringe Width formula is defined as a measure of the distance between two consecutive bright or dark fringes in an interference pattern, which is a fundamental concept in optics and physics, used to describe the distribution of light intensity in a given region 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.

Home

FREE PDFs

🔍 Search