Path Difference in YDSE given Distance between Coherent Sources Calculator

✖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%
✖Angle from Slit Center to Light Source is the angle formed by the line connecting the center of the slit to the light source and the normal to the slit.ⓘ Angle from Slit Center to Light Source [θ]			+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 YDSE given Distance between Coherent Sources [Δx]

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Path Difference in YDSE given Distance between Coherent Sources

Formula

Δx = d \cdot \sin (θ)

Example

2.868365 cm = 10.6 cm \cdot \sin (15.7 °)

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Path Difference in YDSE given Distance between Coherent Sources Solution

STEP 0: Pre-Calculation Summary

Formula Used

Path Difference = Distance between Two Coherent Sources*sin(Angle from Slit Center to Light Source)
Δx = d*sin(θ)
This formula uses 1 Functions, 3 Variables

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)

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 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.
Angle from Slit Center to Light Source - (Measured in Radian) - Angle from Slit Center to Light Source is the angle formed by the line connecting the center of the slit to the light source and the normal to the slit.

STEP 1: Convert Input(s) to Base Unit

Distance between Two Coherent Sources: 10.6 Centimeter --> 0.106 Meter (Check conversion here)
Angle from Slit Center to Light Source: 15.7 Degree --> 0.274016692563058 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Δx = d*sin(θ) --> 0.106*sin(0.274016692563058)

Evaluating ... ...

Δx = 0.0286836472734363

STEP 3: Convert Result to Output's Unit

0.0286836472734363 Meter -->2.86836472734363 Centimeter (Check conversion here)

FINAL ANSWER

2.86836472734363 ≈ 2.868365 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

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 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

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

Path Difference for Maxima in YDSE

Go Path Difference for Maxima = Integer*Wavelength

Path Difference in YDSE given Distance between Coherent Sources Formula

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

What is Refractive Index?

The refractive index is a measure of how much light slows down as it passes through a material compared to its speed in a vacuum. It is calculated as the ratio of the speed of light in a vacuum to the speed of light in the material. A higher refractive index means light travels more slowly in that material.

How to Calculate Path Difference in YDSE given Distance between Coherent Sources?

Path Difference in YDSE given Distance between Coherent Sources calculator uses Path Difference = Distance between Two Coherent Sources*sin(Angle from Slit Center to Light Source) to calculate the Path Difference, Path Difference in YDSE given Distance between Coherent Sources formula is defined as a measure of the difference in path lengths of two light waves originating from coherent sources, which determines the interference pattern observed on a screen, and is crucial in understanding the principles of Young's Double Slit Experiment. Path Difference is denoted by Δx symbol.

How to calculate Path Difference in YDSE given Distance between Coherent Sources using this online calculator? To use this online calculator for Path Difference in YDSE given Distance between Coherent Sources, enter Distance between Two Coherent Sources (d) & Angle from Slit Center to Light Source (θ) and hit the calculate button. Here is how the Path Difference in YDSE given Distance between Coherent Sources calculation can be explained with given input values -> 286.8365 = 0.106*sin(0.274016692563058).

FAQ

What is Path Difference in YDSE given Distance between Coherent Sources?

Path Difference in YDSE given Distance between Coherent Sources formula is defined as a measure of the difference in path lengths of two light waves originating from coherent sources, which determines the interference pattern observed on a screen, and is crucial in understanding the principles of Young's Double Slit Experiment and is represented as Δx = d*sin(θ) or Path Difference = Distance between Two Coherent Sources*sin(Angle from Slit Center to Light Source). Distance between Two Coherent Sources is the distance between two sources that emit waves in phase with each other, resulting in an interference pattern & Angle from Slit Center to Light Source is the angle formed by the line connecting the center of the slit to the light source and the normal to the slit.

How to calculate Path Difference in YDSE given Distance between Coherent Sources?

Path Difference in YDSE given Distance between Coherent Sources formula is defined as a measure of the difference in path lengths of two light waves originating from coherent sources, which determines the interference pattern observed on a screen, and is crucial in understanding the principles of Young's Double Slit Experiment is calculated using Path Difference = Distance between Two Coherent Sources*sin(Angle from Slit Center to Light Source). To calculate Path Difference in YDSE given Distance between Coherent Sources, you need Distance between Two Coherent Sources (d) & Angle from Slit Center to Light Source (θ). With our tool, you need to enter the respective value for Distance between Two Coherent Sources & Angle from Slit Center to Light Source 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 & Angle from Slit Center to Light Source. We can use 1 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)

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