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Path Difference in YDSE given Distance between Coherent Sources Formula

GoPath Difference in Young's Double-Slit Experiment Formula

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Path Difference is the difference in distance traveled by two waves, which determines the phase shift between them, affecting the resulting interference pattern. Check FAQs

Δx = d \cdot \sin (θ)

Δx - Path Difference?d - Distance between Two Coherent Sources?θ - Angle from Slit Center to Light Source?

Path Difference in YDSE given Distance between Coherent Sources Example

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Here is how the Path Difference in YDSE given Distance between Coherent Sources equation looks like with Values.

Here is how the Path Difference in YDSE given Distance between Coherent Sources equation looks like with Units.

Here is how the Path Difference in YDSE given Distance between Coherent Sources equation looks like.

2.8684 = 10.6 \cdot \sin (15.7)

2.8684cm = 10.6cm \cdot \sin (15.7°)

2.8684 = 10.6 \cdot \sin (15.7)

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Path Difference in YDSE given Distance between Coherent Sources Solution

Follow our step by step solution on how to calculate Path Difference in YDSE given Distance between Coherent Sources?

FIRST Step Consider the formula

Δx = d \cdot \sin (θ)

Next Step Substitute values of Variables

∴

Δx = 10.6cm \cdot \sin (15.7°)

Next Step Convert Units

∴

Δx = 0.106m \cdot \sin (0.274rad)

Next Step Prepare to Evaluate

∴

Δx = 0.106 \cdot \sin (0.274)

Next Step Evaluate

∴

Δx = 0.0286836472734363m

Next Step Convert to Output's Unit

∴

Δx = 2.86836472734363cm

LAST Step Rounding Answer

∴

Δx = 2.8684cm

Path Difference in YDSE given Distance between Coherent Sources Formula Elements

Variables

Functions

Path Difference

Path Difference is the difference in distance traveled by two waves, which determines the phase shift between them, affecting the resulting interference pattern.

Symbol: Δx

Measurement: LengthUnit: cm

Note: Value can be positive or negative.

Formulas to find Path Difference

Distance between Two Coherent Sources

Distance between Two Coherent Sources is the distance between two sources that emit waves in phase with each other, resulting in an interference pattern.

Symbol: d

Measurement: LengthUnit: cm

Note: Value can be positive or negative.

Formulas to find Distance between Two Coherent Sources

Angle from Slit Center to Light Source

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.

Symbol: θ

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Angle from Slit Center to Light Source

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.

Syntax: sin(Angle)

Other Formulas to find Path Difference

Go Path Difference in Young's Double-Slit Experiment

Δx = \sqrt{{(y + \frac{d}{2})}^{2} + D^{2}} - \sqrt{{(y - \frac{d}{2})}^{2} + D^{2}}

Other formulas in Young's Double Slit Experiment (YDSE) category

Go Path Difference for Constructive Interference in YDSE

Δx CI = \frac{y CI \cdot d}{D}

Go Path Difference for Maxima in YDSE

Δx max = n \cdot λ

Go Path Difference for Minima in YDSE

Δx min = (2 \cdot n + 1) \cdot \frac{λ}{2}

Go Path Difference for Destructive Interference in YDSE

Δx DI = (2 \cdot n - 1) \cdot (\frac{λ}{2})

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

Path Difference in YDSE given Distance between Coherent Sources evaluator uses Path Difference = Distance between Two Coherent Sources*sin(Angle from Slit Center to Light Source) to evaluate 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 evaluate Path Difference in YDSE given Distance between Coherent Sources using this online evaluator? To use this online evaluator 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.

FAQs on Path Difference in YDSE given Distance between Coherent Sources

What is the formula to find Path Difference in YDSE given Distance between Coherent Sources?

The formula of Path Difference in YDSE given Distance between Coherent Sources is expressed as Path Difference = Distance between Two Coherent Sources*sin(Angle from Slit Center to Light Source). Here is an example- 286.8365 = 0.106*sin(0.274016692563058).

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

With Distance between Two Coherent Sources (d) & Angle from Slit Center to Light Source (θ) we can find Path Difference in YDSE given Distance between Coherent Sources using the formula - Path Difference = Distance between Two Coherent Sources*sin(Angle from Slit Center to Light Source). This formula also uses Sine (sin) function(s).

What are the other ways to Calculate Path Difference?

Here are the different ways to Calculate Path Difference-

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)

Can the Path Difference in YDSE given Distance between Coherent Sources be negative?

Yes, the Path Difference in YDSE given Distance between Coherent Sources, measured in Length can be negative.

Which unit is used to measure Path Difference in YDSE given Distance between Coherent Sources?

Path Difference in YDSE given Distance between Coherent Sources is usually measured using the Centimeter[cm] for Length. Meter[cm], Millimeter[cm], Kilometer[cm] are the few other units in which Path Difference in YDSE given Distance between Coherent Sources can be measured.

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Path Difference in YDSE given Distance between Coherent Sources Formula

​GoPath Difference in Young's Double-Slit Experiment Formula

Path Difference in YDSE given Distance between Coherent Sources Example

Path Difference in YDSE given Distance between Coherent Sources Solution

Path Difference in YDSE given Distance between Coherent Sources Formula Elements

Other Formulas to find Path Difference

Other formulas in Young's Double Slit Experiment (YDSE) category

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

FAQs on Path Difference in YDSE given Distance between Coherent Sources

Variable Name

GoPath Difference in Young's Double-Slit Experiment Formula