Thin-Film Constructive Interference in Reflected Light Solution

STEP 0: Pre-Calculation Summary
Formula Used
Constructive Interference = (Number n+1/2)*Wavelength
Ic = (n+1/2)*λ
This formula uses 3 Variables
Variables Used
Constructive Interference - Constructive Interference occurs when the maxima of two waves add together (the two waves are in phase) so that the amplitude of the resulting wave is equal to the sum of the individual amplitudes.
Number n - Number n will hold the numeric value for A.
Wavelength - (Measured in Meter) - Wavelength can be defined as the distance between two successive crests or troughs of a wave.
STEP 1: Convert Input(s) to Base Unit
Number n: 5 --> No Conversion Required
Wavelength: 26.8 Centimeter --> 0.268 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ic = (n+1/2)*λ --> (5+1/2)*0.268
Evaluating ... ...
Ic = 1.474
STEP 3: Convert Result to Output's Unit
1.474 --> No Conversion Required
FINAL ANSWER
1.474 <-- Constructive Interference
(Calculation completed in 00.004 seconds)

Credits

Created by Payal Priya
Birsa Institute of Technology (BIT), Sindri
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4 Thin-Film Interference Calculators

Thin-Film Constructive Interference in Reflected Light
Go Constructive Interference = (Number n+1/2)*Wavelength
Thin-Film Destructive Interference in Transmitted Light
Go Destructive Interference = (Number n+1/2)*Wavelength
Thin-Film Constructive Interference in Transmitted Light
Go Constructive Interference = Number n*Wavelength
Thin-Film Destructive Interference in Reflected Light
Go Destructive Interference = Number n*Wavelength

Thin-Film Constructive Interference in Reflected Light Formula

Constructive Interference = (Number n+1/2)*Wavelength
Ic = (n+1/2)*λ

What is thin-film interference ?

Thin-film interference is the phenomenon that is a result of lightwave being reflected off two surfaces that are at a distance comparable to its wavelength. When light waves that reflect off the top and bottom surfaces interfere with one another we see different colored patterns. During this, the light reaches the boundary between two media, and part of it gets reflected and some part gets transmitted. When the second medium is a thin film, there are two reflections occurring close together at the top and bottom boundary surfaces of the thin film. Thus, there are two waves emerging from a thin film – one wave reflected off the top surface of the film and the other reflected off the bottom surface.

How to Calculate Thin-Film Constructive Interference in Reflected Light?

Thin-Film Constructive Interference in Reflected Light calculator uses Constructive Interference = (Number n+1/2)*Wavelength to calculate the Constructive Interference, Thin-Film constructive interference in reflected light is formed when a film is placed in the air the wave reflected from the upper surface (from a denser medium) suffers a sudden phase change of π, while the wave reflected from the lower surface suffers no such phase change. In this case, constructive and destructive interferences are formed. Constructive Interference is denoted by Ic symbol.

How to calculate Thin-Film Constructive Interference in Reflected Light using this online calculator? To use this online calculator for Thin-Film Constructive Interference in Reflected Light, enter Number n (n) & Wavelength (λ) and hit the calculate button. Here is how the Thin-Film Constructive Interference in Reflected Light calculation can be explained with given input values -> 1.474 = (5+1/2)*0.268.

FAQ

What is Thin-Film Constructive Interference in Reflected Light?
Thin-Film constructive interference in reflected light is formed when a film is placed in the air the wave reflected from the upper surface (from a denser medium) suffers a sudden phase change of π, while the wave reflected from the lower surface suffers no such phase change. In this case, constructive and destructive interferences are formed and is represented as Ic = (n+1/2)*λ or Constructive Interference = (Number n+1/2)*Wavelength. Number n will hold the numeric value for A & Wavelength can be defined as the distance between two successive crests or troughs of a wave.
How to calculate Thin-Film Constructive Interference in Reflected Light?
Thin-Film constructive interference in reflected light is formed when a film is placed in the air the wave reflected from the upper surface (from a denser medium) suffers a sudden phase change of π, while the wave reflected from the lower surface suffers no such phase change. In this case, constructive and destructive interferences are formed is calculated using Constructive Interference = (Number n+1/2)*Wavelength. To calculate Thin-Film Constructive Interference in Reflected Light, you need Number n (n) & Wavelength (λ). With our tool, you need to enter the respective value for Number n & Wavelength 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 Constructive Interference?
In this formula, Constructive Interference uses Number n & Wavelength. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Constructive Interference = Number n*Wavelength
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