Refractive Index Calculator

✖Angle Of Incidence in degree is the angle which an incident line or ray makes with a perpendicular to the surface at the point of incidence.ⓘ Angle Of Incidence in degree [i_angle]			+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 material can bend or slow down light passing through it compared to the speed of light in a vacuum.ⓘ Refractive Index [RI]

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Formula

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Refractive Index

Formula

`"RI" = sin("i"_{"angle"})/sin("r")`

Example

`"0.035404"=sin("44")/sin("30°")`

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Refractive Index Solution

STEP 0: Pre-Calculation Summary

Formula Used

Refractive Index = sin(Angle Of Incidence in degree)/sin(Angle of Refraction)
RI = sin(i_angle)/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 material can bend or slow down light passing through it compared to the speed of light in a vacuum.
Angle Of Incidence in degree - Angle Of Incidence in degree is the angle which an incident line or ray makes with a perpendicular to the surface at the point of incidence.
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 in degree: 44 --> No Conversion Required
Angle of Refraction: 30 Degree --> 0.5235987755982 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

RI = sin(i_angle)/sin(r) --> sin(44)/sin(0.5235987755982)

Evaluating ... ...

RI = 0.0354038502108272

STEP 3: Convert Result to Output's Unit

0.0354038502108272 --> No Conversion Required

FINAL ANSWER

0.0354038502108272 ≈ 0.035404 <-- Refractive Index

(Calculation completed in 00.004 seconds)

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Created by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has created this Calculator and 500+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has verified this Calculator and 2600+ more calculators!

< 4 Tilting level Calculators

Angle of Incidence for given Vertical displacement

Go Angle Of Incidence in degree = (Vertical Displacement of Refracted Ray/(Plate Thickness*(1-(1/Refractive Index))))*(180/pi)

Refractive Index given Vertical Displacement

Go Refractive Index = 1/(1-(Vertical Displacement of Refracted Ray)/(Angle Of Incidence in degree*(pi/180)*Plate Thickness))

Vertical Displacement for Small Angles

Go Vertical Displacement of Refracted Ray = Plate Thickness*(1-1/Refractive Index)*(Angle Of Incidence in degree*pi/180)

Refractive Index

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

Refractive Index Formula

Refractive Index = sin(Angle Of Incidence in degree)/sin(Angle of Refraction)
RI = sin(i_angle)/sin(r)

What is Tilting Level?

In this type of level the telescope can be rotated about a horizontal axis. It enables the surveyor to quickly centre the bubble and thus bring the line of sight into the horizontal plane. The main feature of the tilting level is the telescope which can be tilted by 4° in a vertical plane with the help of a tilting screw. Further, it is not necessary that the line of collimation and the vertical axis of the tilting level be at right angles during observations.

How to Calculate Refractive Index?

Refractive Index calculator uses Refractive Index = sin(Angle Of Incidence in degree)/sin(Angle of Refraction) to calculate the Refractive Index, The Refractive Index is a value calculated from the ratio of the speed of light in a vacuum to that in a second medium of greater density. Refractive Index is denoted by RI symbol.

How to calculate Refractive Index using this online calculator? To use this online calculator for Refractive Index, enter Angle Of Incidence in degree (i_angle) & Angle of Refraction (r) and hit the calculate button. Here is how the Refractive Index calculation can be explained with given input values -> 0.035404 = sin(44)/sin(0.5235987755982).

FAQ

What is Refractive Index?

The Refractive Index is a value calculated from the ratio of the speed of light in a vacuum to that in a second medium of greater density and is represented as RI = sin(i_angle)/sin(r) or Refractive Index = sin(Angle Of Incidence in degree)/sin(Angle of Refraction). Angle Of Incidence in degree is the angle which an incident line or ray makes with a perpendicular to the surface at the point of incidence & 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?

The Refractive Index is a value calculated from the ratio of the speed of light in a vacuum to that in a second medium of greater density is calculated using Refractive Index = sin(Angle Of Incidence in degree)/sin(Angle of Refraction). To calculate Refractive Index, you need Angle Of Incidence in degree (i_angle) & Angle of Refraction (r). With our tool, you need to enter the respective value for Angle Of Incidence in degree & 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 Refractive Index?

In this formula, Refractive Index uses Angle Of Incidence in degree & Angle of Refraction. We can use 1 other way(s) to calculate the same, which is/are as follows -

Refractive Index = 1/(1-(Vertical Displacement of Refracted Ray)/(Angle Of Incidence in degree*(pi/180)*Plate Thickness))

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