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

GoInterference of Waves of Two Intensities Formula

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Resultant Intensity is the intensity of the resulting wave pattern formed by the superposition of two or more waves, providing information about the combined effect of the individual waves. Check FAQs

I = 4 \cdot (I S1) \cdot {\cos (\frac{Φ}{2})}^{2}

I - Resultant Intensity?I_S1 - Intensity from Slit 1?Φ - Phase Difference?

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

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Here is how the Resultant Intensity On-Screen of Young's Double-Slit Experiment equation looks like with Values.

Here is how the Resultant Intensity On-Screen of Young's Double-Slit Experiment equation looks like with Units.

Here is how the Resultant Intensity On-Screen of Young's Double-Slit Experiment equation looks like.

46.9254 = 4 \cdot (13.162) \cdot {\cos (\frac{38.5}{2})}^{2}

46.9254cd = 4 \cdot (13.162cd) \cdot {\cos (\frac{38.5°}{2})}^{2}

46.9254 = 4 \cdot (13.162) \cdot {\cos (\frac{38.5}{2})}^{2}

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

Follow our step by step solution on how to calculate Resultant Intensity On-Screen of Young's Double-Slit Experiment?

FIRST Step Consider the formula

I = 4 \cdot (I S1) \cdot {\cos (\frac{Φ}{2})}^{2}

Next Step Substitute values of Variables

∴

I = 4 \cdot (13.162cd) \cdot {\cos (\frac{38.5°}{2})}^{2}

Next Step Convert Units

∴

I = 4 \cdot (13.162cd) \cdot {\cos (\frac{0.672rad}{2})}^{2}

Next Step Prepare to Evaluate

∴

I = 4 \cdot (13.162) \cdot {\cos (\frac{0.672}{2})}^{2}

Next Step Evaluate

∴

I = 46.925377120985cd

LAST Step Rounding Answer

∴

I = 46.9254cd

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

Variables

Functions

Resultant Intensity

Resultant Intensity is the intensity of the resulting wave pattern formed by the superposition of two or more waves, providing information about the combined effect of the individual waves.

Symbol: I

Measurement: Luminous IntensityUnit: cd

Note: Value can be positive or negative.

Formulas to find Resultant Intensity

Intensity from Slit 1

Intensity from Slit 1 is the amount of energy or power per unit area that is emitted or received from the first slit in a diffraction pattern or an optical system.

Symbol: I_S1

Measurement: Luminous IntensityUnit: cd

Note: Value should be greater than 0.

Formulas to find Intensity from Slit 1

Phase Difference

Phase Difference is the difference in phase angle between two or more waves having the same frequency and referenced to the same point in time.

Symbol: Φ

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Phase Difference

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other Formulas to find Resultant Intensity

Go Interference of Waves of Two Intensities

I = I 1 + I 2 + 2 \cdot \sqrt{I 1 \cdot I 2} \cdot \cos (Φ)

Other formulas in Intensity and Interference of Light Waves category

Go Intensity of Constructive Interference

I C = {(\sqrt{I 1} + \sqrt{I 2})}^{2}

Go Intensity of Destructive Interference

I D = {(\sqrt{I 1} - \sqrt{I 2})}^{2}

Go Resultant Intensity of Incoherent Sources

I IS = I 1 + I 2

Go Phase Difference

Φ = \frac{2 \cdot π \cdot Δx}{λ}

How to Evaluate Resultant Intensity On-Screen of Young's Double-Slit Experiment?

Resultant Intensity On-Screen of Young's Double-Slit Experiment evaluator uses Resultant Intensity = 4*(Intensity from Slit 1)*cos(Phase Difference/2)^2 to evaluate the Resultant Intensity, Resultant Intensity On-Screen of Young's Double-Slit Experiment formula is defined as the measure of the intensity of light observed on a screen as a result of the superposition of light waves from two slits, providing insight into the principles of wave optics and interference. Resultant Intensity is denoted by I symbol.

How to evaluate Resultant Intensity On-Screen of Young's Double-Slit Experiment using this online evaluator? To use this online evaluator for Resultant Intensity On-Screen of Young's Double-Slit Experiment, enter Intensity from Slit 1 (I_S1) & Phase Difference (Φ) and hit the calculate button.

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

What is the formula to find Resultant Intensity On-Screen of Young's Double-Slit Experiment?

The formula of Resultant Intensity On-Screen of Young's Double-Slit Experiment is expressed as Resultant Intensity = 4*(Intensity from Slit 1)*cos(Phase Difference/2)^2. Here is an example- 46.91825 = 4*(13.162)*cos(0.67195176201769/2)^2.

How to calculate Resultant Intensity On-Screen of Young's Double-Slit Experiment?

With Intensity from Slit 1 (I_S1) & Phase Difference (Φ) we can find Resultant Intensity On-Screen of Young's Double-Slit Experiment using the formula - Resultant Intensity = 4*(Intensity from Slit 1)*cos(Phase Difference/2)^2. This formula also uses Cosine (cos) function(s).

What are the other ways to Calculate Resultant Intensity?

Here are the different ways to Calculate Resultant Intensity-

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

Can the Resultant Intensity On-Screen of Young's Double-Slit Experiment be negative?

Yes, the Resultant Intensity On-Screen of Young's Double-Slit Experiment, measured in Luminous Intensity can be negative.

Which unit is used to measure Resultant Intensity On-Screen of Young's Double-Slit Experiment?

Resultant Intensity On-Screen of Young's Double-Slit Experiment is usually measured using the Candela[cd] for Luminous Intensity. Candle (International)[cd], Decimal Candle[cd], Hefner Candle[cd] are the few other units in which Resultant Intensity On-Screen of Young's Double-Slit Experiment can be measured.

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