Path Difference for Constructive Interference in YDSE Solution

STEP 0: Pre-Calculation Summary
Formula Used
Path Difference = (Distance from Center to Light Source*Distance between Two Coherent Sources)/Distance between Slits and Screen
Δx = (y*d)/D
This formula uses 4 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.
Distance from Center to Light Source - (Measured in Meter) - Distance from Center to Light Source is the length from the center of the slit to the light source.
Distance between Two Coherent Sources - (Measured in Meter) - Distance between Two Coherent Sources is the length at which both coherent sources are placed. Two sources that vibrate with a fixed phase difference between them are said to be coherent.
Distance between Slits and Screen - (Measured in Meter) - Distance between Slits and Screen or photodetector is the large distance at which the slits and screen in Young's double-slit experiment.
STEP 1: Convert Input(s) to Base Unit
Distance from Center to Light Source: 2.5 Centimeter --> 0.025 Meter (Check conversion here)
Distance between Two Coherent Sources: 10.6 Centimeter --> 0.106 Meter (Check conversion here)
Distance between Slits and Screen: 20.2 Centimeter --> 0.202 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Δx = (y*d)/D --> (0.025*0.106)/0.202
Evaluating ... ...
Δx = 0.0131188118811881
STEP 3: Convert Result to Output's Unit
0.0131188118811881 Meter -->1.31188118811881 Centimeter (Check conversion here)
FINAL ANSWER
1.31188118811881 1.311881 Centimeter <-- Path Difference
(Calculation completed in 00.020 seconds)

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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 Constructive Interference in YDSE Formula

Path Difference = (Distance from Center to Light Source*Distance between Two Coherent Sources)/Distance between Slits and Screen
Δx = (y*d)/D

How is path difference of constructive interference in Young’s double-slit experiment calculated ?

Path difference for constructive interference is calculated by using , Δp = dy/D = nλ where n = 0,1 ,-1,2,-2...... Here n=0 corresponds to the central maxima , n=1, -1 corresponds to the 1st maxima and n = 2, -2 corresponds to the 2nd maxima and so on.

How to Calculate Path Difference for Constructive Interference in YDSE?

Path Difference for Constructive Interference in YDSE calculator uses Path Difference = (Distance from Center to Light Source*Distance between Two Coherent Sources)/Distance between Slits and Screen to calculate the Path Difference, Path difference for constructive interference in YDSE is when the path difference is equal to zero or an integral multiple of the wavelength when the arriving wavelengths are exactly in phase. Path Difference is denoted by Δx symbol.

How to calculate Path Difference for Constructive Interference in YDSE using this online calculator? To use this online calculator for Path Difference for Constructive Interference in YDSE, enter Distance from Center to Light Source (y), Distance between Two Coherent Sources (d) & Distance between Slits and Screen (D) and hit the calculate button. Here is how the Path Difference for Constructive Interference in YDSE calculation can be explained with given input values -> 131.1881 = (0.025*0.106)/0.202.

FAQ

What is Path Difference for Constructive Interference in YDSE?
Path difference for constructive interference in YDSE is when the path difference is equal to zero or an integral multiple of the wavelength when the arriving wavelengths are exactly in phase and is represented as Δx = (y*d)/D or Path Difference = (Distance from Center to Light Source*Distance between Two Coherent Sources)/Distance between Slits and Screen. Distance from Center to Light Source is the length from the center of the slit to the light source, Distance between Two Coherent Sources is the length at which both coherent sources are placed. Two sources that vibrate with a fixed phase difference between them are said to be coherent & Distance between Slits and Screen or photodetector is the large distance at which the slits and screen in Young's double-slit experiment.
How to calculate Path Difference for Constructive Interference in YDSE?
Path difference for constructive interference in YDSE is when the path difference is equal to zero or an integral multiple of the wavelength when the arriving wavelengths are exactly in phase is calculated using Path Difference = (Distance from Center to Light Source*Distance between Two Coherent Sources)/Distance between Slits and Screen. To calculate Path Difference for Constructive Interference in YDSE, you need Distance from Center to Light Source (y), Distance between Two Coherent Sources (d) & Distance between Slits and Screen (D). With our tool, you need to enter the respective value for Distance from Center to Light Source, Distance between Two Coherent Sources & Distance between Slits and Screen 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 Distance from Center to Light Source, Distance between Two Coherent Sources & Distance between Slits and Screen. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • 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)
  • Path Difference = (2*Number n+1)*Wavelength/2
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