Path difference in Young's double-slit experiment Calculator

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Physics	Wave Optics ↺
Wave-Optics	Young's double-slit experiment ↺

✖Distance from center to the light source is the length from the center of the slit to the light sourceⓘ Distance from center to the light source [y]			+10% -10%
✖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 two coherent sources [d]			+10% -10%
✖Distance between slits and screen or photodetector is the large distance at which the slits and screen in Young's double-slit experiment.ⓘ Distance between slits and screen [D]			+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 in Young's double-slit experiment [k]

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Path difference in Young's double-slit experiment

Payal Priya

Birsa Institute of Technology (BIT), Sindri

Payal Priya has created this Calculator and 100+ more calculators!

< 6 Other formulas that you can solve using the same Inputs

Distance from center to a light source for destructive interference in YDSE

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 a 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

Optical path difference

Optical path difference=(Refractive Index-1)*Distance between slits and screen/Distance between two coherent sources GO

Fringe Width

Fringe Width=(Wavelength*Distance between slits and screen)/Distance between two coherent sources GO

Path difference in Young's double-slit experiment

Path Difference=Distance between two coherent sources*sin(Theta) GO

< 6 Other formulas that calculate the same Output

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 Young's double-slit experiment

Path Difference=Distance between two coherent sources*sin(Theta) GO

Path difference for minima in Young’s double-slit experiment

Path Difference=(2*Number-1)*Wavelength/2 GO

Path difference for minima in Young’s double-slit experiment

Path Difference=(2*Number+1)*Wavelength/2 GO

Path difference of two progressive wave

Path Difference=(2*pi)/Wavelength GO

Path difference in YDSE when λ is given

Path Difference=Number*Wavelength GO

Path difference in Young's double-slit experiment Formula

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)+(Distance between slits and screen)^2)

More formulas

Resultant intensity of coherent sources GO

Path difference in Young's double-slit experiment GO

Fringe Width GO

Path difference for constructive interference in Young’s double-slit experiment GO

Path difference in YDSE when λ is given GO

Distance from center to a light source for constructive interference in YDSE GO

Path difference for minima in Young’s double-slit experiment GO

Distance from center to a light source for destructive interference in YDSE GO

Resultant intensity on-screen of Young's double-slit experiment GO

Resultant intensity on-screen of YDSE when intensities are different GO

What is Young's double-slit experiment ?

Young’s double-slit experiment uses two coherent sources of light placed at a small distance apart, usually, only a few orders of magnitude greater than the wavelength of light is used. Young’s double-slit experiment helped in understanding the wave theory of light. A screen or photodetector is placed at a large distance ’D’ away from the slits.

Why path difference is created between two coherent sources? How path difference is calculated?

The wave reaching light source from the second coherent source must travel a longer path than the wave reaching light source from the first coherent source. It is calculated by formula Δp = √( ( y+d/2)² + D²) - √( ( y-d/2)² + D²) where y is the distance from center of the screen to the light source , D is the distance between slits and screen or photodetector and d is the distance between two coherent sources.

How to Calculate Path difference in Young's double-slit experiment?

Path difference in Young's double-slit experiment calculator uses 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)+(Distance between slits and screen)^2) to calculate the Path Difference, Path difference in Young's double-slit experiment is because the wave reaching light source from the second coherent source must travel a longer path than the wave reaching light source from the first coherent source. Path Difference and is denoted by k symbol.

How to calculate Path difference in Young's double-slit experiment using this online calculator? To use this online calculator for Path difference in Young's double-slit experiment, enter Distance between two coherent sources (d), Distance from center to the light source (y) and Distance between slits and screen (D) and hit the calculate button. Here is how the Path difference in Young's double-slit experiment calculation can be explained with given input values -> -0.011711 = sqrt((0.02+(0.1/2))^2+(0.2)^2)-sqrt((0.02-(0.1)^2)+(0.2)^2).

FAQ

What is Path difference in Young's double-slit experiment?

Path difference in Young's double-slit experiment is because the wave reaching light source from the second coherent source must travel a longer path than the wave reaching light source from the first coherent source and is represented as k=sqrt((y+(d/2))^2+(D)^2)-sqrt((y-(d)^2)+(D)^2) or 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)+(Distance between slits and screen)^2). 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 from center to the light source is the length from the center of the slit to the light source and 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 in Young's double-slit experiment?

Path difference in Young's double-slit experiment is because the wave reaching light source from the second coherent source must travel a longer path than the wave reaching light source from the first coherent source is calculated using 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)+(Distance between slits and screen)^2). To calculate Path difference in Young's double-slit experiment, you need Distance between two coherent sources (d), Distance from center to the light source (y) and Distance between slits and screen (D). With our tool, you need to enter the respective value for Distance between two coherent sources, Distance from center to the light source and 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 between two coherent sources, Distance from center to the light source and Distance between slits and screen. We can use 6 other way(s) to calculate the same, which is/are as follows -

Path Difference=(2*pi)/Wavelength
Path Difference=Distance between two coherent sources*sin(Theta)
Path Difference=(Distance between two coherent sources*Distance from center to the light source)/Distance between slits and screen
Path Difference=Number*Wavelength
Path Difference=(2*Number-1)*Wavelength/2
Path Difference=(2*Number+1)*Wavelength/2

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