Angular Width of Central Maxima Calculator

⤿

Interference of Waves of Two Intensities

✖Wavelength can be defined as the distance between two successive crests or troughs of a wave.ⓘ Wavelength [λ]			+10% -10%
✖Aperture of Objective is the measure of its ability to gather light and to resolve fine specimen detail while working at a fixed object distance.ⓘ Aperture of Objective [a]			+10% -10%

✖Angular width of the beam is inversely proportional to the diameter of the object.ⓘ Angular Width of Central Maxima [d_angular]

⎘ Copy

👎

Formula

✖

Angular Width of Central Maxima

Formula

`"d"_{"angular"} = 2*"λ"/"a"`

Example

`"8.774439°"=2*"26.8cm"/"3.5"`

Calculator

LaTeX

Reset

👍

Download Wave Optics Formulas PDF PDF Image

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 of the beam is inversely proportional to the diameter of the object.
Wavelength - (Measured in Meter) - Wavelength can be defined as the distance between two successive crests or troughs of a wave.
Aperture of Objective - Aperture of Objective is the measure of its ability to gather light and to resolve fine specimen detail while working at a fixed object distance.

STEP 1: Convert Input(s) to Base Unit

Wavelength: 26.8 Centimeter --> 0.268 Meter (Check conversion here)
Aperture of Objective: 3.5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_angular = 2*λ/a --> 2*0.268/3.5

Evaluating ... ...

d_angular = 0.153142857142857

STEP 3: Convert Result to Output's Unit

0.153142857142857 Radian -->8.77443937686226 Degree (Check conversion here)

FINAL ANSWER

8.77443937686226 ≈ 8.774439 Degree <-- Angular Width

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Wave Optics » Basics » Angular Width of Central Maxima

Credits

Created by Payal Priya

Birsa Institute of Technology (BIT), Sindri

Payal Priya has created this Calculator and 600+ more calculators!

Verified by Team Softusvista

Softusvista Office (Pune), India

Team Softusvista has verified this Calculator and 1100+ more calculators!

< 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

Angular Width of Central Maxima Formula

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

What is Fraunhoffer diffraction due to single slit and how its angular width is calculated ?

Let us say AB is a single slit of width a, plane wavefront is incident on slit AB. Secondary wavelets coming from every part of AB reach the axial point P in the same phase forming central maxima. The intensity of the central maxima is maximum in this direction. This was Fraunhoffer diffraction due to a single slit. Angular width is calculated by w_θ = 2λ / a .

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, The Angular Width of Central Maxima is inversely proportional to the diameter of the object. This formula is used for b >> λ. 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 -> 502.7383 = 2*0.268/3.5.

FAQ

What is Angular Width of Central Maxima?

The Angular Width of Central Maxima is inversely proportional to the diameter of the object. This formula is used for b >> λ and is represented as d_angular = 2*λ/a or Angular Width = 2*Wavelength/Aperture of Objective. Wavelength can be defined as the distance between two successive crests or troughs of a wave & Aperture of Objective is the measure of its ability to gather light and to resolve fine specimen detail while working at a fixed object distance.

How to calculate Angular Width of Central Maxima?

The Angular Width of Central Maxima is inversely proportional to the diameter of the object. This formula is used for b >> λ 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.

Home

FREE PDFs

🔍 Search