Malus Law Solution

STEP 0: Pre-Calculation Summary
Formula Used
Resultant Intensity = Intensity 1*(cos(Angle from Slit Center to Light Source))^2
I = I1*(cos(θ))^2
This formula uses 1 Functions, 3 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)
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.
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
Intensity 1: 9 Candela --> 9 Candela No Conversion Required
Angle from Slit Center to Light Source: 25 Degree --> 0.4363323129985 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
I = I1*(cos(θ))^2 --> 9*(cos(0.4363323129985))^2
Evaluating ... ...
I = 7.39254424359
STEP 3: Convert Result to Output's Unit
7.39254424359 Candela --> No Conversion Required
FINAL ANSWER
7.39254424359 7.392544 Candela <-- Resultant Intensity
(Calculation completed in 00.004 seconds)
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Credits

Created by Payal Priya
Birsa Institute of Technology (BIT), Sindri
Payal Priya has created this Calculator and 600+ more calculators!
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7 Basics Calculators

Optical Activity
Go Optical Activity = Angle from Slit Center to Light Source/(Length*Concentration at x Distance)
Malus Law
Go Resultant Intensity = Intensity 1*(cos(Angle from Slit Center to Light Source))^2
Path Difference of Two Progressive Wave
Go Path Difference = (Wavelength*Phase Difference)/(2*pi)
Phase Difference
Go Phase Difference = (2*pi*Path Difference)/Wavelength
Angular Width of Central Maxima
Go Angular Width = 2*Wavelength/Aperture of Objective
Phase Difference of Destructive Interference
Go Phase Difference = (2*Number n+1)*pi
Phase Difference of Constructive Interference
Go Phase Difference = 2*pi*Number n

Malus Law Formula

Resultant Intensity = Intensity 1*(cos(Angle from Slit Center to Light Source))^2
I = I1*(cos(θ))^2

What is Malus' law ?

Malus' law is crucial if we want to learn or understand the polarization properties of light. The law helps us to study the light intensity relation of the polarizer-analyzer. Malus law is named after Étienne-Louis Malus, who in the year 1808 discovered that natural incident light could be polarized when it was reflected by a glass surface. He used calcite crystal for his experiment.

How to Calculate Malus Law?

Malus Law calculator uses Resultant Intensity = Intensity 1*(cos(Angle from Slit Center to Light Source))^2 to calculate the Resultant Intensity, Malus Law states that the intensity of plane-polarized light that passes through an analyzer varies as the square of the cosine of the angle between the plane of the polarizer and the transmission axes of the analyzer. Resultant Intensity is denoted by I symbol.

How to calculate Malus Law using this online calculator? To use this online calculator for Malus Law, enter Intensity 1 (I1) & Angle from Slit Center to Light Source (θ) and hit the calculate button. Here is how the Malus Law calculation can be explained with given input values -> 7.392544 = 9*(cos(0.4363323129985))^2.

FAQ

What is Malus Law?
Malus Law states that the intensity of plane-polarized light that passes through an analyzer varies as the square of the cosine of the angle between the plane of the polarizer and the transmission axes of the analyzer and is represented as I = I1*(cos(θ))^2 or Resultant Intensity = Intensity 1*(cos(Angle from Slit Center to Light Source))^2. 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 & 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 Malus Law?
Malus Law states that the intensity of plane-polarized light that passes through an analyzer varies as the square of the cosine of the angle between the plane of the polarizer and the transmission axes of the analyzer is calculated using Resultant Intensity = Intensity 1*(cos(Angle from Slit Center to Light Source))^2. To calculate Malus Law, you need Intensity 1 (I1) & Angle from Slit Center to Light Source (θ). With our tool, you need to enter the respective value for Intensity 1 & 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.
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