Resultant Intensity On-Screen of YDSE when Intensities are Different Calculator

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Young's Double-Slit Experiment (YDSE)

Basics

Interference of Waves of Two Intensities

Optical Path Difference

Thin-Film Interference

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Path Difference in YDSE

✖Intensity 1 is the quantity of energy the first wave conveys per unit time across a surface of unit area, and it is also equivalent to the energy density multiplied by the wave speed.ⓘ Intensity 1 [I₁]			+10% -10%
✖Intensity 2 is the quantity of energy the second wave conveys per unit time across a surface of unit area, and it is also equivalent to the energy density multiplied by the wave speed.ⓘ Intensity 2 [I₂]			+10% -10%
✖Phase Difference is used to describe the difference in degrees or radians when two or more alternating quantities reach their maximum or zero values.ⓘ Phase Difference [Φ]			+10% -10%

✖Resultant Intensity is the resultant of two intensities combined together.ⓘ Resultant Intensity On-Screen of YDSE when Intensities are Different [I]

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Formula

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Resultant Intensity On-Screen of YDSE when Intensities are Different

Formula

`"I" = "I"_{"1"}+"I"_{"2"}+2*sqrt("I"_{"1"}*"I"_{"2"})*cos("Φ")`

Example

`"46.92195cd"="9cd"+"18cd"+2*sqrt("9cd"*"18cd")*cos("38.5°")`

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Resultant Intensity On-Screen of YDSE when Intensities are Different Solution

STEP 0: Pre-Calculation Summary

Formula Used

Resultant Intensity = Intensity 1+Intensity 2+2*sqrt(Intensity 1*Intensity 2)*cos(Phase Difference)
I = I₁+I₂+2*sqrt(I₁*I₂)*cos(Φ)
This formula uses 2 Functions, 4 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)
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

Resultant Intensity - (Measured in Candela) - Resultant Intensity is the resultant of two intensities combined together.
Intensity 1 - (Measured in Candela) - Intensity 1 is the quantity of energy the first wave conveys per unit time across a surface of unit area, and it is also equivalent to the energy density multiplied by the wave speed.
Intensity 2 - (Measured in Candela) - Intensity 2 is the quantity of energy the second wave conveys per unit time across a surface of unit area, and it is also equivalent to the energy density multiplied by the wave speed.
Phase Difference - (Measured in Radian) - Phase Difference is used to describe the difference in degrees or radians when two or more alternating quantities reach their maximum or zero values.

STEP 1: Convert Input(s) to Base Unit

Intensity 1: 9 Candela --> 9 Candela No Conversion Required
Intensity 2: 18 Candela --> 18 Candela No Conversion Required
Phase Difference: 38.5 Degree --> 0.67195176201769 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I = I₁+I₂+2*sqrt(I₁*I₂)*cos(Φ) --> 9+18+2*sqrt(9*18)*cos(0.67195176201769)

Evaluating ... ...

I = 46.9219512500029

STEP 3: Convert Result to Output's Unit

46.9219512500029 Candela --> No Conversion Required

FINAL ANSWER

46.9219512500029 ≈ 46.92195 Candela <-- Resultant Intensity

(Calculation completed in 00.004 seconds)

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Home » Physics » Wave Optics » Young's Double-Slit Experiment (YDSE) » Resultant Intensity On-Screen of YDSE when Intensities are Different

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< 6 Young's Double-Slit Experiment (YDSE) Calculators

Resultant Intensity On-Screen of YDSE when Intensities are Different

Go Resultant Intensity = Intensity 1+Intensity 2+2*sqrt(Intensity 1*Intensity 2)*cos(Phase Difference)

Distance from Center to Light Source for Destructive Interference in YDSE

Go Distance from Center to Light Source = (2*Number n-1)*(Wavelength*Distance between Slits and Screen)/(2*Distance between Two Coherent Sources)

Distance from Center to Light Source for Constructive Interference in YDSE

Go Distance from Center to Light Source = (Number n*Wavelength*Distance between Slits and Screen)/Distance between Two Coherent Sources

Fringe Width

Go Fringe Width = (Wavelength*Distance between Slits and Screen)/Distance between Two Coherent Sources

Resultant Intensity On-Screen of Young's Double-Slit Experiment

Go Resultant Intensity = 4*Intensity 1*(cos(Phase Difference/2))^2

Resultant Intensity of Incoherent Sources

Go Resultant Intensity = Intensity 1+Intensity 2

Resultant Intensity On-Screen of YDSE when Intensities are Different Formula

Resultant Intensity = Intensity 1+Intensity 2+2*sqrt(Intensity 1*Intensity 2)*cos(Phase Difference)
I = I₁+I₂+2*sqrt(I₁*I₂)*cos(Φ)

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.

How is Resultant intensity on-screen of Young's double slit experiment calculated ?

Resultant intensity on-screen of Young's double-slit experiment is calculated using, I = 4I_ocos² ( Δ𝚽 / 2) where Δ𝚽 is the phase difference, Δ𝚽 =( 2π / λ ) Δp .

How to Calculate Resultant Intensity On-Screen of YDSE when Intensities are Different?

Resultant Intensity On-Screen of YDSE when Intensities are Different calculator uses Resultant Intensity = Intensity 1+Intensity 2+2*sqrt(Intensity 1*Intensity 2)*cos(Phase Difference) to calculate the Resultant Intensity, Resultant intensity on-screen of YDSE when intensities are different is the total intensities of two waves. Resultant Intensity is denoted by I symbol.

How to calculate Resultant Intensity On-Screen of YDSE when Intensities are Different using this online calculator? To use this online calculator for Resultant Intensity On-Screen of YDSE when Intensities are Different, enter Intensity 1 (I₁), Intensity 2 (I₂) & Phase Difference (Φ) and hit the calculate button. Here is how the Resultant Intensity On-Screen of YDSE when Intensities are Different calculation can be explained with given input values -> 46.92195 = 9+18+2*sqrt(9*18)*cos(0.67195176201769).

FAQ

What is Resultant Intensity On-Screen of YDSE when Intensities are Different?

Resultant intensity on-screen of YDSE when intensities are different is the total intensities of two waves and is represented as I = I₁+I₂+2*sqrt(I₁*I₂)*cos(Φ) or Resultant Intensity = Intensity 1+Intensity 2+2*sqrt(Intensity 1*Intensity 2)*cos(Phase Difference). Intensity 1 is the quantity of energy the first wave conveys per unit time across a surface of unit area, and it is also equivalent to the energy density multiplied by the wave speed, Intensity 2 is the quantity of energy the second wave conveys per unit time across a surface of unit area, and it is also equivalent to the energy density multiplied by the wave speed & Phase Difference is used to describe the difference in degrees or radians when two or more alternating quantities reach their maximum or zero values.

How to calculate Resultant Intensity On-Screen of YDSE when Intensities are Different?

Resultant intensity on-screen of YDSE when intensities are different is the total intensities of two waves is calculated using Resultant Intensity = Intensity 1+Intensity 2+2*sqrt(Intensity 1*Intensity 2)*cos(Phase Difference). To calculate Resultant Intensity On-Screen of YDSE when Intensities are Different, you need Intensity 1 (I₁), Intensity 2 (I₂) & Phase Difference (Φ). With our tool, you need to enter the respective value for Intensity 1, Intensity 2 & Phase Difference 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 Resultant Intensity?

In this formula, Resultant Intensity uses Intensity 1, Intensity 2 & Phase Difference. We can use 2 other way(s) to calculate the same, which is/are as follows -

Resultant Intensity = Intensity 1+Intensity 2
Resultant Intensity = 4*Intensity 1*(cos(Phase Difference/2))^2

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