Refractive Index Solution

STEP 0: Pre-Calculation Summary
Formula Used
Refractive Index = sin(Angle of Incidence)/sin(Angle of Refraction)
RI = 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 - The refractive index of a medium is defined as how the light travels through that medium. It is a dimensionless measure. It defines how much a light ray can bend when it enters from one medium to the other.
Angle of Incidence - (Measured in Radian) - Angle of Incidence 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: 40 Degree --> 0.698131700797601 Radian (Check conversion here)
Angle of Refraction: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
RI = sin(i)/sin(r) --> sin(0.698131700797601)/sin(0.5235987755982)
Evaluating ... ...
RI = 1.28557521937288
STEP 3: Convert Result to Output's Unit
1.28557521937288 --> No Conversion Required
FINAL ANSWER
1.28557521937288 1.285575 <-- Refractive Index
(Calculation completed in 00.004 seconds)

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Refractive Index Formula

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

What is Refractive Index?

In optics, the refractive index (also known as refraction index or index of refraction) of a material is a dimensionless number that describes how fast light travels through the material. It determines how much the path of light is bent, or refracted, when entering a material and varies with wavelength, this causes white light to split into constituent colors when refracted. The concept of refractive index applies within the full electromagnetic spectrum, from X-rays to radio waves. It can also be applied to wave phenomena such as sound.

How to Calculate Refractive Index?

Refractive Index calculator uses Refractive Index = sin(Angle of Incidence)/sin(Angle of Refraction) to calculate the Refractive Index, The refractive index is defined as how the light travels through a medium. It is a dimensionless measure. It defines how much a light ray can bend when it enters from one medium to the other. 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 (i) & Angle of Refraction (r) and hit the calculate button. Here is how the Refractive Index calculation can be explained with given input values -> 1.285575 = sin(0.698131700797601)/sin(0.5235987755982).

FAQ

What is Refractive Index?
The refractive index is defined as how the light travels through a medium. It is a dimensionless measure. It defines how much a light ray can bend when it enters from one medium to the other and is represented as RI = sin(i)/sin(r) or Refractive Index = sin(Angle of Incidence)/sin(Angle of Refraction). Angle of Incidence 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 defined as how the light travels through a medium. It is a dimensionless measure. It defines how much a light ray can bend when it enters from one medium to the other 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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