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) - 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 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.
Angle from Slit Center to Light Source - (Measured in Radian) - Angle from Slit Center to Light Source/Photodetector is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.
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: 25 Degree --> 0.4363323129985 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Δx = d*sin(θ) --> 0.106*sin(0.4363323129985)
Evaluating ... ...
Δx = 0.0447975357445062
STEP 3: Convert Result to Output's Unit
0.0447975357445062 Meter -->4.47975357445062 Centimeter (Check conversion here)
FINAL ANSWER
4.47975357445062 4.479754 Centimeter <-- Path Difference
(Calculation completed in 00.004 seconds)

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Created by Payal Priya
Birsa Institute of Technology (BIT), Sindri
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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 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 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 = dsinθ where d is the distance between two coherent sources and sinθ is the angle from the center of the slits to the light source or photodetector.

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 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 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 -> 447.9754 = 0.106*sin(0.4363323129985).

FAQ

What is Path Difference in YDSE given Distance between Coherent Sources?
Path Difference in YDSE given Distance between Coherent Sources 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 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 length at which both coherent sources are placed. Two sources that vibrate with a fixed phase difference between them are said to be coherent & Angle from Slit Center to Light Source/Photodetector is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.
How to calculate Path Difference in YDSE given Distance between Coherent Sources?
Path Difference in YDSE given Distance between Coherent Sources 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 = 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 4 other way(s) to calculate the same, which is/are as follows -
  • Path Difference = (Distance from Center to Light Source*Distance between Two Coherent Sources)/Distance between Slits and Screen
  • 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 = (2*Number n+1)*Wavelength/2
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