Angular Width of Central Maxima Calculator

✖Wavelength is the distance between two consecutive peaks or troughs of a wave, which is a fundamental property of a wave that characterizes its spatial periodicity.ⓘ Wavelength [λ]			+10% -10%
✖Aperture of Objective is the diameter of the objective lens that determines the amount of light that enters the microscope, affecting the resolution and quality of the resulting image.ⓘ Aperture of Objective [a]			+10% -10%

✖Angular Width is the angle between the two extreme points of a wave measured at a reference point, typically the center of the wave, and is used to describe the spatial extent of a wave.ⓘ Angular Width of Central Maxima [d_angular]

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Angular Width of Central Maxima Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angular Width = (2*Wavelength)/Aperture of Objective
d_angular = (2*λ)/a
This formula uses 3 Variables

Variables Used

Angular Width - (Measured in Radian) - Angular Width is the angle between the two extreme points of a wave measured at a reference point, typically the center of the wave, and is used to describe the spatial extent of a wave.
Wavelength - (Measured in Meter) - Wavelength is the distance between two consecutive peaks or troughs of a wave, which is a fundamental property of a wave that characterizes its spatial periodicity.
Aperture of Objective - Aperture of Objective is the diameter of the objective lens that determines the amount of light that enters the microscope, affecting the resolution and quality of the resulting image.

STEP 1: Convert Input(s) to Base Unit

Wavelength: 26.8 Centimeter --> 0.268 Meter (Check conversion here)
Aperture of Objective: 5.11 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_angular = (2*λ)/a --> (2*0.268)/5.11

Evaluating ... ...

d_angular = 0.104892367906067

STEP 3: Convert Result to Output's Unit

0.104892367906067 Radian -->6.00988998415223 Degree (Check conversion here)

FINAL ANSWER

6.00988998415223 ≈ 6.00989 Degree <-- Angular Width

(Calculation completed in 00.004 seconds)

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Home » Physics » Wave Optics » Basic Physics » Optics and Waves » Optics » Intensity and Interference of Light Waves » Angular Width of Central Maxima

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Angular Width of Central Maxima Formula

LaTeX Go

Angular Width = (2*Wavelength)/Aperture of Objective
d_angular = (2*λ)/a

What is Fraunhoffer Diffraction?

Fraunhofer Diffraction occurs when light passes through a small aperture or around an edge and the observer is at a large distance from the aperture. It results in a pattern of light and dark regions due to the interference of light waves. This type of diffraction is analyzed with parallel light waves and produces a distinct, predictable pattern.

How to Calculate Angular Width of Central Maxima?

Angular Width of Central Maxima calculator uses Angular Width = (2*Wavelength)/Aperture of Objective to calculate the Angular Width, Angular Width of Central Maxima formula is defined as the angle subtended by the central maximum at a distance from the slit, which is a measure of the diffraction pattern's central maximum width in an optical setup, characterizing the spread of light around the central peak. Angular Width is denoted by d_angular symbol.

How to calculate Angular Width of Central Maxima using this online calculator? To use this online calculator for Angular Width of Central Maxima, enter Wavelength (λ) & Aperture of Objective (a) and hit the calculate button. Here is how the Angular Width of Central Maxima calculation can be explained with given input values -> 344.3413 = (2*0.268)/5.11.

FAQ

What is Angular Width of Central Maxima?

Angular Width of Central Maxima formula is defined as the angle subtended by the central maximum at a distance from the slit, which is a measure of the diffraction pattern's central maximum width in an optical setup, characterizing the spread of light around the central peak and is represented as d_angular = (2*λ)/a or Angular Width = (2*Wavelength)/Aperture of Objective. Wavelength is the distance between two consecutive peaks or troughs of a wave, which is a fundamental property of a wave that characterizes its spatial periodicity & Aperture of Objective is the diameter of the objective lens that determines the amount of light that enters the microscope, affecting the resolution and quality of the resulting image.

How to calculate Angular Width of Central Maxima?

Angular Width of Central Maxima formula is defined as the angle subtended by the central maximum at a distance from the slit, which is a measure of the diffraction pattern's central maximum width in an optical setup, characterizing the spread of light around the central peak is calculated using Angular Width = (2*Wavelength)/Aperture of Objective. To calculate Angular Width of Central Maxima, you need Wavelength (λ) & Aperture of Objective (a). With our tool, you need to enter the respective value for Wavelength & Aperture of Objective 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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