Path Difference of Two Progressive Wave Calculator

↳

⤿

Interference of Waves of Two Intensities

✖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]

⎘ Copy

👎

Formula

✖

Path Difference of Two Progressive Wave

Formula

`"Δx" = ("λ"*"Φ")/(2*pi)`

Example

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

Calculator

LaTeX

Reset

👍

Download Wave Optics Formulas PDF

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 00.004 seconds)

You are here -

Home » Physics » Wave Optics » Basics » Path Difference of Two Progressive Wave

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!

< 7 Basics Calculators

Optical Activity

Go Optical Activity = Angle from Slit Center to Light Source/(Length*Concentration at x Distance)

Malus Law

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

Angular Width of Central Maxima

Go Angular Width = 2*Wavelength/Aperture of Objective

Phase Difference of Destructive Interference

Go Phase Difference = (2*Number n+1)*pi

Phase Difference of Constructive Interference

Go Phase Difference = 2*pi*Number n

Path Difference of Two Progressive Wave Formula

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

What is path difference and how it is calculated ?

Let S₁ and S₂ be two sources producing progressive waves.This path difference gives rise to many interesting phenomena such as interference patterns (in the case of light) and dead spots in auditoriums (in the case of sound). Its formula is k= 2π/λ where λ is the wavelength and k is the path difference.

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 waves 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 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 waves or PD is the difference in distance traveled by the two waves from their respective sources to a given point on the pattern 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 waves or PD is the difference in distance traveled by the two waves from their respective sources to a given point on the pattern 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.

Home

FREE PDFs

🔍 Search