Path Difference of Two Progressive Wave Formula

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Path Difference is the difference in distance traveled by two waves, which determines the phase shift between them, affecting the resulting interference pattern. Check FAQs
Δx=λΦ2π
Δx - Path Difference?λ - Wavelength?Φ - Phase Difference?π - Archimedes' constant?

Path Difference of Two Progressive Wave Example

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With units
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Here is how the Path Difference of Two Progressive Wave equation looks like with Values.

Here is how the Path Difference of Two Progressive Wave equation looks like with Units.

Here is how the Path Difference of Two Progressive Wave equation looks like.

2.8661Edit=26.8Edit38.5Edit23.1416
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Path Difference of Two Progressive Wave Solution

Follow our step by step solution on how to calculate Path Difference of Two Progressive Wave?

FIRST Step Consider the formula
Δx=λΦ2π
Next Step Substitute values of Variables
Δx=26.8cm38.5°2π
Next Step Substitute values of Constants
Δx=26.8cm38.5°23.1416
Next Step Convert Units
Δx=0.268m0.672rad23.1416
Next Step Prepare to Evaluate
Δx=0.2680.67223.1416
Next Step Evaluate
Δx=0.0286611111111057m
Next Step Convert to Output's Unit
Δx=2.86611111111057cm
LAST Step Rounding Answer
Δx=2.8661cm

Path Difference of Two Progressive Wave Formula Elements

Variables
Constants
Path Difference
Path Difference is the difference in distance traveled by two waves, which determines the phase shift between them, affecting the resulting interference pattern.
Symbol: Δx
Measurement: LengthUnit: cm
Note: Value can be positive or negative.
Wavelength
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.
Symbol: λ
Measurement: LengthUnit: cm
Note: Value can be positive or negative.
Phase Difference
Phase Difference is the difference in phase angle between two or more waves having the same frequency and referenced to the same point in time.
Symbol: Φ
Measurement: AngleUnit: °
Note: Value can be positive or negative.
Archimedes' constant
Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.
Symbol: π
Value: 3.14159265358979323846264338327950288

Other formulas in Intensity and Interference of Light Waves category

​Go Interference of Waves of Two Intensities
I=I1+I2+2I1I2cos(Φ)
​Go Intensity of Constructive Interference
IC=(I1+I2)2
​Go Intensity of Destructive Interference
ID=(I1-I2)2
​Go Resultant Intensity On-Screen of Young's Double-Slit Experiment
I=4(IS1)cos(Φ2)2

How to Evaluate Path Difference of Two Progressive Wave?

Path Difference of Two Progressive Wave evaluator uses Path Difference = (Wavelength*Phase Difference)/(2*pi) to evaluate 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 evaluate Path Difference of Two Progressive Wave using this online evaluator? To use this online evaluator for Path Difference of Two Progressive Wave, enter Wavelength (λ) & Phase Difference (Φ) and hit the calculate button.

FAQs on Path Difference of Two Progressive Wave

What is the formula to find Path Difference of Two Progressive Wave?
The formula of Path Difference of Two Progressive Wave is expressed as Path Difference = (Wavelength*Phase Difference)/(2*pi). Here is an example- 286.6111 = (0.268*0.67195176201769)/(2*pi).
How to calculate Path Difference of Two Progressive Wave?
With Wavelength (λ) & Phase Difference (Φ) we can find Path Difference of Two Progressive Wave using the formula - Path Difference = (Wavelength*Phase Difference)/(2*pi). This formula also uses Archimedes' constant .
Can the Path Difference of Two Progressive Wave be negative?
Yes, the Path Difference of Two Progressive Wave, measured in Length can be negative.
Which unit is used to measure Path Difference of Two Progressive Wave?
Path Difference of Two Progressive Wave is usually measured using the Centimeter[cm] for Length. Meter[cm], Millimeter[cm], Kilometer[cm] are the few other units in which Path Difference of Two Progressive Wave can be measured.
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