Coefficient of Refraction using Boundary Angles 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%
✖The Angle of Refraction is the angle formed by a refracted ray or wave and a line perpendicular to the refracting surface at the point of refraction.ⓘ Angle of Refraction [r]			+10% -10%

✖Coefficient of Refraction is the ratio of the speed of light in a vacuum to its speed in a specific medium, describing how much a light beam is refracted when passing through it.ⓘ Coefficient of Refraction using Boundary Angles [μ]

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Formula

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Coefficient of Refraction using Boundary Angles

Formula

`"μ" = sin("i")/sin("r")`

Example

`"1.280161"=sin("40°")/sin("30.14°")`

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Coefficient of Refraction using Boundary Angles Solution

STEP 0: Pre-Calculation Summary

Formula Used

Coefficient of Refraction = sin(Angle of Incidence)/sin(Angle of Refraction)
μ = sin(i)/sin(r)
This formula uses 1 Functions, 3 Variables

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)

Variables Used

Coefficient of Refraction - Coefficient of Refraction is the ratio of the speed of light in a vacuum to its speed in a specific medium, describing how much a light beam is refracted when passing through it.
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 Refraction - (Measured in Radian) - The Angle of Refraction is the angle formed by a refracted ray or wave and a line perpendicular to the refracting surface at the point of refraction.

STEP 1: Convert Input(s) to Base Unit

Angle of Incidence: 40 Degree --> 0.698131700797601 Radian (Check conversion here)
Angle of Refraction: 30.14 Degree --> 0.526042236550992 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

μ = sin(i)/sin(r) --> sin(0.698131700797601)/sin(0.526042236550992)

Evaluating ... ...

μ = 1.28016115024344

STEP 3: Convert Result to Output's Unit

1.28016115024344 --> No Conversion Required

FINAL ANSWER

1.28016115024344 ≈ 1.280161 <-- Coefficient of Refraction

(Calculation completed in 00.016 seconds)

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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

Coefficient of Refraction using Boundary Angles Formula

Coefficient of Refraction = sin(Angle of Incidence)/sin(Angle of Refraction)
μ = sin(i)/sin(r)

What is Refraction ?

Refraction is the bending of light as it passes from one medium to another with different densities. This change in speed causes the light to change direction. Refraction is responsible for phenomena such as the bending of a straw in water and the focusing of light by lenses, making it a fundamental concept in optics.

How to Calculate Coefficient of Refraction using Boundary Angles?

Coefficient of Refraction using Boundary Angles calculator uses Coefficient of Refraction = sin(Angle of Incidence)/sin(Angle of Refraction) to calculate the Coefficient of Refraction, Coefficient of Refraction using Boundary Angles formula is defined as a measure of the bending of light as it passes from one medium to another, describing the ratio of the sines of the angles of incidence and refraction at a boundary between two media with different optical properties. Coefficient of Refraction is denoted by μ symbol.

How to calculate Coefficient of Refraction using Boundary Angles using this online calculator? To use this online calculator for Coefficient of Refraction using Boundary Angles, enter Angle of Incidence (i) & Angle of Refraction (r) and hit the calculate button. Here is how the Coefficient of Refraction using Boundary Angles calculation can be explained with given input values -> 1.280161 = sin(0.698131700797601)/sin(0.526042236550992).

FAQ

What is Coefficient of Refraction using Boundary Angles?

Coefficient of Refraction using Boundary Angles formula is defined as a measure of the bending of light as it passes from one medium to another, describing the ratio of the sines of the angles of incidence and refraction at a boundary between two media with different optical properties and is represented as μ = sin(i)/sin(r) or Coefficient of Refraction = sin(Angle of Incidence)/sin(Angle of Refraction). 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 & The Angle of Refraction is the angle formed by a refracted ray or wave and a line perpendicular to the refracting surface at the point of refraction.

How to calculate Coefficient of Refraction using Boundary Angles?

Coefficient of Refraction using Boundary Angles formula is defined as a measure of the bending of light as it passes from one medium to another, describing the ratio of the sines of the angles of incidence and refraction at a boundary between two media with different optical properties is calculated using Coefficient of Refraction = sin(Angle of Incidence)/sin(Angle of Refraction). To calculate Coefficient of Refraction using Boundary Angles, you need Angle of Incidence (i) & Angle of Refraction (r). With our tool, you need to enter the respective value for Angle of Incidence & Angle of Refraction 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 Coefficient of Refraction?

In this formula, Coefficient of Refraction uses Angle of Incidence & Angle of Refraction. We can use 3 other way(s) to calculate the same, which is/are as follows -

Coefficient of Refraction = cosec(Angle of Incidence)
Coefficient of Refraction = Real Depth/Apparent Depth
Coefficient of Refraction = [c]/Velocity of Light in Medium

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