Angle of Deviation Calculator

✖Angle of Incidence is the angle at which a light ray or a beam of light strikes a surface, such as a lens, mirror, or prism, and is used to describe the orientation of the incident light.ⓘ Angle of Incidence [i]			+10% -10%
✖Angle of Emergence is the angle at which a light ray emerges from a lens, typically measured from the normal to the surface of the lens and is an important parameter in optics and optical systems.ⓘ Angle of Emergence [e]			+10% -10%
✖Angle of Prism is the angle at which a light beam enters the prism, affecting the refraction and dispersion of light as it passes through the prism.ⓘ Angle of Prism [A]			+10% -10%

✖Angle of Deviation is the angle between the incident ray and the emergent ray in the optical axis after passing through a lens or prism in optics.ⓘ Angle of Deviation [D]

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Formula

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Angle of Deviation

Formula

`"D" = "i"+"e"-"A"`

Example

`"9°"="40°"+"4°"-"35°"`

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Angle of Deviation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angle of Deviation = Angle of Incidence+Angle of Emergence-Angle of Prism
D = i+e-A
This formula uses 4 Variables

Variables Used

Angle of Deviation - (Measured in Radian) - Angle of Deviation is the angle between the incident ray and the emergent ray in the optical axis after passing through a lens or prism in optics.
Angle of Incidence - (Measured in Radian) - Angle of Incidence is the angle at which a light ray or a beam of light strikes a surface, such as a lens, mirror, or prism, and is used to describe the orientation of the incident light.
Angle of Emergence - (Measured in Radian) - Angle of Emergence is the angle at which a light ray emerges from a lens, typically measured from the normal to the surface of the lens and is an important parameter in optics and optical systems.
Angle of Prism - (Measured in Radian) - Angle of Prism is the angle at which a light beam enters the prism, affecting the refraction and dispersion of light as it passes through the prism.

STEP 1: Convert Input(s) to Base Unit

Angle of Incidence: 40 Degree --> 0.698131700797601 Radian (Check conversion here)
Angle of Emergence: 4 Degree --> 0.0698131700797601 Radian (Check conversion here)
Angle of Prism: 35 Degree --> 0.610865238197901 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D = i+e-A --> 0.698131700797601+0.0698131700797601-0.610865238197901

Evaluating ... ...

D = 0.15707963267946

STEP 3: Convert Result to Output's Unit

0.15707963267946 Radian -->9 Degree (Check conversion here)

FINAL ANSWER

9 Degree <-- Angle of Deviation

(Calculation completed in 00.004 seconds)

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Home » Physics » Basic Physics » Optics and Waves » Optics » Geometrical Optics » Lenses and Refraction » Refraction » Angle of Deviation

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Created by Anirudh Singh

National Institute of Technology (NIT), Jamshedpur

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< 11 Refraction Calculators

Coefficient of Refraction using Boundary Angles

Go Coefficient of Refraction = sin(Angle of Incidence)/sin(Angle of Refraction)

Refractive Index

Go Refractive Index = sin(Angle of Incidence)/sin(Angle of Refraction)

Angle of Deviation

Go Angle of Deviation = Angle of Incidence+Angle of Emergence-Angle of Prism

Angle of Emergence

Go Angle of Emergence = Angle of Prism+Angle of Deviation-Angle of Incidence

Angle of Incidence

Go Angle of Incidence = Angle of Deviation+Angle of Prism-Angle of Emergence

Angle of Prism

Go Angle of Prism = Angle of Incidence+Angle of Emergence-Angle of Deviation

Angle of Deviation in Dispersion

Go Angle of Deviation = (Coefficient of Refraction-1)*Angle of Prism

Coefficient of Refraction using Velocity

Go Coefficient of Refraction = [c]/Velocity of Light in Medium

Coefficient of Refraction using Critical Angle

Go Coefficient of Refraction = cosec(Angle of Incidence)

Coefficient of Refraction using Depth

Go Coefficient of Refraction = Real Depth/Apparent Depth

Number of Images in Kaleidoscope

Go Number of Images = ((2*pi)/Angle between Mirrors)-1

Angle of Deviation Formula

Angle of Deviation = Angle of Incidence+Angle of Emergence-Angle of Prism
D = i+e-A

What is minimum angle of deviation?

The minimum angle of deviation refers to the smallest angle at which a light ray passes through a prism, emerging parallel to its original path after refraction. This angle occurs when the light ray enters and exits the prism symmetrically. The minimum angle of deviation is important in optics for determining the refractive index of the prism material.

How to Calculate Angle of Deviation?

Angle of Deviation calculator uses Angle of Deviation = Angle of Incidence+Angle of Emergence-Angle of Prism to calculate the Angle of Deviation, Angle of Deviation formula is defined as a measure of the difference between the initial direction of a refracted ray and the direction of the emergent ray in optics, providing a way to calculate the deviation of light as it passes through a medium with a different refractive index. Angle of Deviation is denoted by D symbol.

How to calculate Angle of Deviation using this online calculator? To use this online calculator for Angle of Deviation, enter Angle of Incidence (i), Angle of Emergence (e) & Angle of Prism (A) and hit the calculate button. Here is how the Angle of Deviation calculation can be explained with given input values -> 515.662 = 0.698131700797601+0.0698131700797601-0.610865238197901.

FAQ

What is Angle of Deviation?

Angle of Deviation formula is defined as a measure of the difference between the initial direction of a refracted ray and the direction of the emergent ray in optics, providing a way to calculate the deviation of light as it passes through a medium with a different refractive index and is represented as D = i+e-A or Angle of Deviation = Angle of Incidence+Angle of Emergence-Angle of Prism. Angle of Incidence is the angle at which a light ray or a beam of light strikes a surface, such as a lens, mirror, or prism, and is used to describe the orientation of the incident light, Angle of Emergence is the angle at which a light ray emerges from a lens, typically measured from the normal to the surface of the lens and is an important parameter in optics and optical systems & Angle of Prism is the angle at which a light beam enters the prism, affecting the refraction and dispersion of light as it passes through the prism.

How to calculate Angle of Deviation?

Angle of Deviation formula is defined as a measure of the difference between the initial direction of a refracted ray and the direction of the emergent ray in optics, providing a way to calculate the deviation of light as it passes through a medium with a different refractive index is calculated using Angle of Deviation = Angle of Incidence+Angle of Emergence-Angle of Prism. To calculate Angle of Deviation, you need Angle of Incidence (i), Angle of Emergence (e) & Angle of Prism (A). With our tool, you need to enter the respective value for Angle of Incidence, Angle of Emergence & Angle of Prism 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 Angle of Deviation?

In this formula, Angle of Deviation uses Angle of Incidence, Angle of Emergence & Angle of Prism. We can use 1 other way(s) to calculate the same, which is/are as follows -

Angle of Deviation = (Coefficient of Refraction-1)*Angle of Prism

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