Path Difference in Young's Double-Slit Experiment Calculator

✖Distance from Center to Light Source is the length of the line segment from the center of the light source to the point of interest, used to calculate the intensity of light at that point.ⓘ Distance from Center to Light Source [y]			+10% -10%
✖Distance between Two Coherent Sources is the distance between two sources that emit waves in phase with each other, resulting in an interference pattern.ⓘ Distance between Two Coherent Sources [d]			+10% -10%
✖Distance between Slits and Screen is the distance between the slits and the screen in a Young's double-slit experiment, used to measure the interference pattern of light waves.ⓘ Distance between Slits and Screen [D]			+10% -10%

✖Path Difference is the difference in distance traveled by two waves, which determines the phase shift between them, affecting the resulting interference pattern.ⓘ Path Difference in Young's Double-Slit Experiment [Δx]

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Path Difference in Young's Double-Slit Experiment Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
Δx = sqrt((y+d/2)^2+D^2)-sqrt((y-d/2)^2+D^2)
This formula uses 1 Functions, 4 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Path Difference - (Measured in Meter) - Path Difference is the difference in distance traveled by two waves, which determines the phase shift between them, affecting the resulting interference pattern.
Distance from Center to Light Source - (Measured in Meter) - Distance from Center to Light Source is the length of the line segment from the center of the light source to the point of interest, used to calculate the intensity of light at that point.
Distance between Two Coherent Sources - (Measured in Meter) - Distance between Two Coherent Sources is the distance between two sources that emit waves in phase with each other, resulting in an interference pattern.
Distance between Slits and Screen - (Measured in Meter) - Distance between Slits and Screen is the distance between the slits and the screen in a Young's double-slit experiment, used to measure the interference pattern of light waves.

STEP 1: Convert Input(s) to Base Unit

Distance from Center to Light Source: 5.852 Centimeter --> 0.05852 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 = sqrt((y+d/2)^2+D^2)-sqrt((y-d/2)^2+D^2) --> sqrt((0.05852+0.106/2)^2+0.202^2)-sqrt((0.05852-0.106/2)^2+0.202^2)

Evaluating ... ...

Δx = 0.0286640782938647

STEP 3: Convert Result to Output's Unit

0.0286640782938647 Meter -->2.86640782938647 Centimeter (Check conversion here)

FINAL ANSWER

2.86640782938647 ≈ 2.866408 Centimeter <-- Path Difference

(Calculation completed in 00.004 seconds)

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< Young's Double Slit Experiment (YDSE) Calculators

Path Difference in Young's Double-Slit Experiment

LaTeX 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

LaTeX Go Path Difference for Constructive Interference = (Distance from Center to Light Source for C I*Distance between Two Coherent Sources)/Distance between Slits and Screen

Path Difference in YDSE given Distance between Coherent Sources

LaTeX Go Path Difference = Distance between Two Coherent Sources*sin(Angle from Slit Center to Light Source)

Path Difference for Maxima in YDSE

LaTeX Go Path Difference for Maxima = Integer*Wavelength

Path Difference in Young's Double-Slit Experiment Formula

LaTeX Go

What is Slit?

A slit is a narrow opening or gap, typically used in experiments involving light or other waves. In optics, slits are used to create wave sources for interference and diffraction experiments, such as Young's Double-Slit Experiment.

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 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) to calculate the Path Difference, Path Difference in Young's Double-Slit Experiment formula is defined as the difference in path lengths of the light waves that travel from the two slits to a point on the screen, which determines the interference pattern observed in the experiment. It is a crucial concept in understanding the principles of wave optics and interference. Path Difference is denoted by Δx 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 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 in Young's Double-Slit Experiment calculation can be explained with given input values -> 286.6408 = sqrt((0.05852+0.106/2)^2+0.202^2)-sqrt((0.05852-0.106/2)^2+0.202^2).

FAQ

What is Path Difference in Young's Double-Slit Experiment?

Path Difference in Young's Double-Slit Experiment formula is defined as the difference in path lengths of the light waves that travel from the two slits to a point on the screen, which determines the interference pattern observed in the experiment. It is a crucial concept in understanding the principles of wave optics and interference and is represented as Δx = sqrt((y+d/2)^2+D^2)-sqrt((y-d/2)^2+D^2) or 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). Distance from Center to Light Source is the length of the line segment from the center of the light source to the point of interest, used to calculate the intensity of light at that point, Distance between Two Coherent Sources is the distance between two sources that emit waves in phase with each other, resulting in an interference pattern & Distance between Slits and Screen is the distance between the slits and the screen in a Young's double-slit experiment, used to measure the interference pattern of light waves.

How to calculate Path Difference in Young's Double-Slit Experiment?

Path Difference in Young's Double-Slit Experiment formula is defined as the difference in path lengths of the light waves that travel from the two slits to a point on the screen, which determines the interference pattern observed in the experiment. It is a crucial concept in understanding the principles of wave optics and interference is calculated using 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). To calculate Path Difference in Young's Double-Slit Experiment, 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 1 other way(s) to calculate the same, which is/are as follows -

Path Difference = Distance between Two Coherent Sources*sin(Angle from Slit Center to Light Source)

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