Path difference for minima in Young's double-slit experiment Solution

STEP 0: Pre-Calculation Summary
Formula Used
Path Difference = (2*Number-1)*Wavelength/2
k = (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 - A number is a mathematical object used to count, measure, and label.
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: 2 --> No Conversion Required
Wavelength: 20 Meter --> 20 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
k = (2*n-1)*λ/2 --> (2*2-1)*20/2
Evaluating ... ...
k = 30
STEP 3: Convert Result to Output's Unit
30 Meter --> No Conversion Required
FINAL ANSWER
30 Meter <-- Path Difference
(Calculation completed in 00.016 seconds)

Credits

Created by Payal Priya
Birsa Institute of Technology (BIT), Sindri
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National Institute Of Technology (NIT), Hamirpur
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10+ Young's double-slit experiment Calculators

Path difference in Young's double-slit experiment
Path Difference = sqrt((Distance from center to the light source+(Distance between two coherent sources/2))^2+(Distance between slits and screen)^2)-sqrt((Distance from center to the light source-(Distance between two coherent sources/2))^2+(Distance between slits and screen)^2) Go
Resultant intensity on-screen of YDSE when intensities are different
Resultant Intensity = Intensity 1+Intensity 2+(2*sqrt(Intensity 1*Intensity 2)*cos(Phase Difference)) Go
Distance from center to light source for destructive interference in YDSE in terms of wavelength
Distance from center to the light source = ((2*Number-1)*Wavelength*Distance between slits and screen)/(2*Distance between two coherent sources) Go
Distance from center to light source for constructive interference in YDSE
Distance from center to the light source = (Number*Wavelength*Distance between slits and screen)/Distance between two coherent sources Go
Path difference for constructive interference in Young's double-slit experiment
Path Difference = (Distance between two coherent sources*Distance from center to the light source)/Distance between slits and screen Go
Path difference in YDSE in terms of Distance between Coherent Sources
Path Difference = Distance between two coherent sources*sin(Theta) Go
Resultant intensity on-screen of Young's double-slit experiment
Resultant Intensity = 4*Intensity 1*(cos(Phase Difference/2))^2 Go
Distance from center to light source for destructive interference in YDSE
Distance from center to the light source = (((2*Number)+1)*Wavelength)/2 Go
Resultant intensity of coherent sources
Resultant Intensity = Intensity 1+Intensity 2 Go
Path difference for minima in YDSE
Path Difference = (2*Number+1)*Wavelength/2 Go

Path difference for minima in Young's double-slit experiment Formula

Path Difference = (2*Number-1)*Wavelength/2
k = (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 Young's double-slit experiment?

Path difference for minima in Young's double-slit experiment calculator uses Path Difference = (2*Number-1)*Wavelength/2 to calculate the Path Difference, Path difference for minima in Young's double-slit experiment 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 k symbol.

How to calculate Path difference for minima in Young's double-slit experiment using this online calculator? To use this online calculator for Path difference for minima in Young's double-slit experiment, enter Number (n) & Wavelength (λ) and hit the calculate button. Here is how the Path difference for minima in Young's double-slit experiment calculation can be explained with given input values -> 30 = (2*2-1)*20/2.

FAQ

What is Path difference for minima in Young's double-slit experiment?
Path difference for minima in Young's double-slit experiment is an odd multiple of half a wavelength, the arriving waves are out of phase and undergo fully destructive interference and is represented as k = (2*n-1)*λ/2 or Path Difference = (2*Number-1)*Wavelength/2. A number is a mathematical object used to count, measure, and label & Wavelength can be defined as the distance between two successive crests or troughs of a wave.
How to calculate Path difference for minima in Young's double-slit experiment?
Path difference for minima in Young's double-slit experiment 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-1)*Wavelength/2. To calculate Path difference for minima in Young's double-slit experiment, you need Number (n) & Wavelength (λ). With our tool, you need to enter the respective value for Number & 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 & Wavelength. We can use 5 other way(s) to calculate the same, which is/are as follows -
  • Path Difference = Distance between two coherent sources*sin(Theta)
  • Path Difference = (2*Number+1)*Wavelength/2
  • Path Difference = (Distance between two coherent sources*Distance from center to the light source)/Distance between slits and screen
  • Path Difference = sqrt((Distance from center to the light source+(Distance between two coherent sources/2))^2+(Distance between slits and screen)^2)-sqrt((Distance from center to the light source-(Distance between two coherent sources/2))^2+(Distance between slits and screen)^2)
  • Path Difference = Number*Wavelength
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