Refractive Index 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%

✖Refractive Index is a measure of how much a lens bends light, describing the amount of refraction that occurs when light passes from one medium to another.ⓘ Refractive Index [n]

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Formula

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Refractive Index

Formula

`"n" = sin("i")/sin("r")`

Example

`"1.280161"=sin("40°")/sin("30.14°")`

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Refractive Index Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Refractive Index - Refractive Index is a measure of how much a lens bends light, describing the amount of refraction that occurs when light passes from one medium to another.
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

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

Evaluating ... ...

n = 1.28016115024344

STEP 3: Convert Result to Output's Unit

1.28016115024344 --> No Conversion Required

FINAL ANSWER

1.28016115024344 ≈ 1.280161 <-- Refractive Index

(Calculation completed in 00.004 seconds)

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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

Refractive Index Formula

Refractive Index = sin(Angle of Incidence)/sin(Angle of Refraction)
n = sin(i)/sin(r)

What is Refractive Index?

The refractive index is a dimensionless number that indicates how much light slows down and bends when it passes through a material compared to a vacuum. It is defined as the ratio of the speed of light in a vacuum to the speed of light in the material. The refractive index is crucial in optics for understanding phenomena such as refraction, reflection, and lens design.

How to Calculate Refractive Index?

Refractive Index calculator uses Refractive Index = sin(Angle of Incidence)/sin(Angle of Refraction) to calculate the Refractive Index, Refractive Index formula is defined as a measure of how much a light beam is bent when it passes from one medium to another, describing the amount of refraction that occurs when light travels through a medium with a different optical density. Refractive Index is denoted by n symbol.

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

FAQ

What is Refractive Index?

Refractive Index formula is defined as a measure of how much a light beam is bent when it passes from one medium to another, describing the amount of refraction that occurs when light travels through a medium with a different optical density and is represented as n = sin(i)/sin(r) or Refractive Index = 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 Refractive Index?

Refractive Index formula is defined as a measure of how much a light beam is bent when it passes from one medium to another, describing the amount of refraction that occurs when light travels through a medium with a different optical density is calculated using Refractive Index = sin(Angle of Incidence)/sin(Angle of Refraction). To calculate Refractive Index, 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.

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