Path Difference of Two Progressive Wave Calculator

✖Wavelength can be defined as the distance between two successive crests or troughs of a wave.ⓘ Wavelength [λ]			+10% -10%
✖Phase Difference is used to describe the difference in degrees or radians when two or more alternating quantities reach their maximum or zero values.ⓘ Phase Difference [Φ]			+10% -10%

✖The Path Difference or PD is the difference in distance traveled by the two waves from their respective sources to a given point on the pattern.ⓘ Path Difference of Two Progressive Wave [Δx]

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Formula

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Path Difference of Two Progressive Wave

Formula

`"Δx" = ("λ"*"Φ")/(2*pi)`

Example

`"2.866111cm"=("26.8cm"*"38.5°")/(2*pi)`

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Path Difference of Two Progressive Wave Solution

STEP 0: Pre-Calculation Summary

Formula Used

Path Difference = (Wavelength*Phase Difference)/(2*pi)
Δx = (λ*Φ)/(2*pi)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Path Difference - (Measured in Meter) - The Path Difference or PD is the difference in distance traveled by the two waves from their respective sources to a given point on the pattern.
Wavelength - (Measured in Meter) - Wavelength can be defined as the distance between two successive crests or troughs of a wave.
Phase Difference - (Measured in Radian) - Phase Difference is used to describe the difference in degrees or radians when two or more alternating quantities reach their maximum or zero values.

STEP 1: Convert Input(s) to Base Unit

Wavelength: 26.8 Centimeter --> 0.268 Meter (Check conversion here)
Phase Difference: 38.5 Degree --> 0.67195176201769 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Δx = (λ*Φ)/(2*pi) --> (0.268*0.67195176201769)/(2*pi)

Evaluating ... ...

Δx = 0.0286611111111057

STEP 3: Convert Result to Output's Unit

0.0286611111111057 Meter -->2.86611111111057 Centimeter (Check conversion here)

FINAL ANSWER

2.86611111111057 ≈ 2.866111 Centimeter <-- Path Difference

(Calculation completed in 00.020 seconds)

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Home » Physics » Wave Optics » Basic Physics » Optics and Waves » Optics » Intensity and Interference of Light Waves » Path Difference of Two Progressive Wave

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< 11 Intensity and Interference of Light Waves Calculators

Interference of Waves of Two Intensities

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

Intensity of Constructive Interference

Go Resultant Intensity of Constructive = (sqrt(Intensity 1)+sqrt(Intensity 2))^2

Intensity of Destructive Interference

Go Resultant Intensity of Destructive = (sqrt(Intensity 1)-sqrt(Intensity 2))^2

Malus Law

Go Transmitted Intensity = Intensity 1*(cos(Angle from Slit Center to Light Source))^2

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

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

Path Difference of Two Progressive Wave

Go Path Difference = (Wavelength*Phase Difference)/(2*pi)

Phase Difference

Go Phase Difference = (2*pi*Path Difference)/Wavelength

Resultant Intensity of Incoherent Sources

Go Resultant Intensity of Incoherent Sources = Intensity 1+Intensity 2

Phase Difference of Destructive Interference

Go Phase Difference of Destructive Interference = (2*Integer+1)*pi

Phase Difference of Constructive Interference

Go Phase Difference of Constructive Interference = 2*pi*Integer

Angular Width of Central Maxima

Go Angular Width = (2*Wavelength)/Aperture of Objective

Path Difference of Two Progressive Wave Formula

Path Difference = (Wavelength*Phase Difference)/(2*pi)
Δx = (λ*Φ)/(2*pi)

What is Path Difference ?

Path difference is the difference in distance traveled by two waves arriving at a point from different sources. It affects how the waves interfere with each other. If the path difference is an integer multiple of the wavelength, constructive interference occurs; if it is a half-integer multiple, destructive interference happens.

How to Calculate Path Difference of Two Progressive Wave?

Path Difference of Two Progressive Wave calculator uses Path Difference = (Wavelength*Phase Difference)/(2*pi) to calculate the Path Difference, Path Difference of Two Progressive Wave formula is defined as a measure of the difference in distance traveled by two progressive waves, which is essential in understanding the principles of wave interference and superposition in physics. Path Difference is denoted by Δx symbol.

How to calculate Path Difference of Two Progressive Wave using this online calculator? To use this online calculator for Path Difference of Two Progressive Wave, enter Wavelength (λ) & Phase Difference (Φ) and hit the calculate button. Here is how the Path Difference of Two Progressive Wave calculation can be explained with given input values -> 286.6111 = (0.268*0.67195176201769)/(2*pi).

FAQ

What is Path Difference of Two Progressive Wave?

Path Difference of Two Progressive Wave formula is defined as a measure of the difference in distance traveled by two progressive waves, which is essential in understanding the principles of wave interference and superposition in physics and is represented as Δx = (λ*Φ)/(2*pi) or Path Difference = (Wavelength*Phase Difference)/(2*pi). Wavelength can be defined as the distance between two successive crests or troughs of a wave & Phase Difference is used to describe the difference in degrees or radians when two or more alternating quantities reach their maximum or zero values.

How to calculate Path Difference of Two Progressive Wave?

Path Difference of Two Progressive Wave formula is defined as a measure of the difference in distance traveled by two progressive waves, which is essential in understanding the principles of wave interference and superposition in physics is calculated using Path Difference = (Wavelength*Phase Difference)/(2*pi). To calculate Path Difference of Two Progressive Wave, you need Wavelength (λ) & Phase Difference (Φ). With our tool, you need to enter the respective value for Wavelength & Phase Difference 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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