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Optical path difference when fringe width is given Solution

STEP 0: Pre-Calculation Summary
Formula Used
optical_path_difference = (Refractive Index-1)*Thickness*Fringe Width/Wavelength
Δ = (RI-1)*T*β/λ
This formula uses 4 Variables
Variables Used
Refractive Index- The refractive index of a medium is defined as how the light travels through that medium. It is a dimensionless measure. It defines how much a light ray can bend when it enters from one medium to the other.
Thickness - Thickness is the distance through an object. (Measured in Meter)
Fringe Width - Fringe Width is the distance between two maxima of successive order on one side of the central maxima. (Measured in Centimeter)
Wavelength - Wavelength is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space or along a wire (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Refractive Index: 1.333 --> No Conversion Required
Thickness: 1 Meter --> 1 Meter No Conversion Required
Fringe Width: 20 Centimeter --> 0.2 Meter (Check conversion here)
Wavelength: 2 Meter --> 2 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Δ = (RI-1)*T*β/λ --> (1.333-1)*1*0.2/2
Evaluating ... ...
Δ = 0.0333
STEP 3: Convert Result to Output's Unit
0.0333 --> No Conversion Required
FINAL ANSWER
0.0333 <-- Optical path difference
(Calculation completed in 00.016 seconds)

2 Optical path difference Calculators

Optical path difference
optical_path_difference = (Refractive Index-1)*Distance between slits and screen/Distance between two coherent sources Go
Optical path difference when fringe width is given
optical_path_difference = (Refractive Index-1)*Thickness*Fringe Width/Wavelength Go

Optical path difference when fringe width is given Formula

optical_path_difference = (Refractive Index-1)*Thickness*Fringe Width/Wavelength
Δ = (RI-1)*T*β/λ

What is optical path difference ?

In the thin glass slab of thickness t and refractive index μ, and the optical path of the ray increases by t( μ -1 ) where t is the thickness of the slab. So path difference between waves coming from two coherent sources at any point P is Δ = (μ - 1 ) D/d = ( μ -1 )t β / λ.

How to Calculate Optical path difference when fringe width is given?

Optical path difference when fringe width is given calculator uses optical_path_difference = (Refractive Index-1)*Thickness*Fringe Width/Wavelength to calculate the Optical path difference, Optical path difference when fringe width is given is the product of the geometric length of the path followed by light through a given system, and the refractive index of the medium through which it propagates. Optical path difference and is denoted by Δ symbol.

How to calculate Optical path difference when fringe width is given using this online calculator? To use this online calculator for Optical path difference when fringe width is given, enter Refractive Index (RI), Thickness (T), Fringe Width (β) and Wavelength (λ) and hit the calculate button. Here is how the Optical path difference when fringe width is given calculation can be explained with given input values -> 0.0333 = (1.333-1)*1*0.2/2.

FAQ

What is Optical path difference when fringe width is given?
Optical path difference when fringe width is given is the product of the geometric length of the path followed by light through a given system, and the refractive index of the medium through which it propagates and is represented as Δ = (RI-1)*T*β/λ or optical_path_difference = (Refractive Index-1)*Thickness*Fringe Width/Wavelength. The refractive index of a medium is defined as how the light travels through that medium. It is a dimensionless measure. It defines how much a light ray can bend when it enters from one medium to the other, Thickness is the distance through an object, Fringe Width is the distance between two maxima of successive order on one side of the central maxima and Wavelength is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space or along a wire.
How to calculate Optical path difference when fringe width is given?
Optical path difference when fringe width is given is the product of the geometric length of the path followed by light through a given system, and the refractive index of the medium through which it propagates is calculated using optical_path_difference = (Refractive Index-1)*Thickness*Fringe Width/Wavelength. To calculate Optical path difference when fringe width is given, you need Refractive Index (RI), Thickness (T), Fringe Width (β) and Wavelength (λ). With our tool, you need to enter the respective value for Refractive Index, Thickness, Fringe Width and Wavelength and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Optical path difference?
In this formula, Optical path difference uses Refractive Index, Thickness, Fringe Width and Wavelength. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • optical_path_difference = (Refractive Index-1)*Distance between slits and screen/Distance between two coherent sources
  • optical_path_difference = (Refractive Index-1)*Thickness*Fringe Width/Wavelength
Where is the Optical path difference when fringe width is given calculator used?
Among many, Optical path difference when fringe width is given calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
{FormulaExamplesList}
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