Path Difference for Minima in YDSE Solution

STEP 0: Pre-Calculation Summary
Formula Used
Path Difference = (2*Number n+1)*Wavelength/2
Δx = (2*n+1)*λ/2
This formula uses 3 Variables
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.
Number n - Number n will hold the numeric value for A.
Wavelength - (Measured in Meter) - Wavelength can be defined as the distance between two successive crests or troughs of a wave.
STEP 1: Convert Input(s) to Base Unit
Number n: 5 --> No Conversion Required
Wavelength: 26.8 Centimeter --> 0.268 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Δx = (2*n+1)*λ/2 --> (2*5+1)*0.268/2
Evaluating ... ...
Δx = 1.474
STEP 3: Convert Result to Output's Unit
1.474 Meter -->147.4 Centimeter (Check conversion here)
FINAL ANSWER
147.4 Centimeter <-- Path Difference
(Calculation completed in 00.004 seconds)

Credits

Created by Payal Priya
Birsa Institute of Technology (BIT), Sindri
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6 Path Difference in 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)
Path Difference for Constructive Interference in YDSE
Go Path Difference = (Distance from Center to Light Source*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)
Path Difference for Destructive Interference in YDSE
Go Distance from Center to Light Source = (2*Number n+1)*Wavelength/2
Path Difference for Minima in YDSE
Go Path Difference = (2*Number n+1)*Wavelength/2
Path Difference for Maxima in YDSE
Go Path Difference = Number n*Wavelength

Path Difference for Minima in YDSE Formula

Path Difference = (2*Number n+1)*Wavelength/2
Δx = (2*n+1)*λ/2

What is fringe width in YDSE?

Fringe width (β) is the separation between any two consecutive bright or dark fringes. In YDSE all fringes are of equal width. Fringe width β=λDd. and angular width θ=λd=βD.

How to Calculate Path Difference for Minima in YDSE?

Path Difference for Minima in YDSE calculator uses Path Difference = (2*Number n+1)*Wavelength/2 to calculate the Path Difference, The path difference for minima in YDSE is an odd multiple of half a wavelength, the arriving waves are out of phase and undergo fully destructive interference. Path Difference is denoted by Δx symbol.

How to calculate Path Difference for Minima in YDSE using this online calculator? To use this online calculator for Path Difference for Minima in YDSE, enter Number n (n) & Wavelength (λ) and hit the calculate button. Here is how the Path Difference for Minima in YDSE calculation can be explained with given input values -> 14740 = (2*5+1)*0.268/2.

FAQ

What is Path Difference for Minima in YDSE?
The path difference for minima in YDSE is an odd multiple of half a wavelength, the arriving waves are out of phase and undergo fully destructive interference and is represented as Δx = (2*n+1)*λ/2 or Path Difference = (2*Number n+1)*Wavelength/2. Number n will hold the numeric value for A & Wavelength can be defined as the distance between two successive crests or troughs of a wave.
How to calculate Path Difference for Minima in YDSE?
The path difference for minima in YDSE is an odd multiple of half a wavelength, the arriving waves are out of phase and undergo fully destructive interference is calculated using Path Difference = (2*Number n+1)*Wavelength/2. To calculate Path Difference for Minima in YDSE, you need Number n (n) & Wavelength (λ). With our tool, you need to enter the respective value for Number n & 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 Path Difference?
In this formula, Path Difference uses Number n & Wavelength. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • Path Difference = (Distance from Center to Light Source*Distance between Two Coherent Sources)/Distance between Slits and Screen
  • 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)
  • Path Difference = Number n*Wavelength
  • Path Difference = Distance between Two Coherent Sources*sin(Angle from Slit Center to Light Source)
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