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Refractive Index Formula

GoRefractive Index given Vertical Displacement Formula

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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. Check FAQs

RI = \frac{\sin (i angle)}{\sin (r)}

RI - Refractive Index?i_angle - Angle Of Incidence in degree?r - Angle of Refraction?

Refractive Index Example

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Here is how the Refractive Index equation looks like with Values.

Here is how the Refractive Index equation looks like with Units.

Here is how the Refractive Index equation looks like.

0.0354 = \frac{\sin (44)}{\sin (30)}

0.0354 = \frac{\sin (44)}{\sin (30°)}

0.0354 = \frac{\sin (44)}{\sin (30)}

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Refractive Index Solution

Follow our step by step solution on how to calculate Refractive Index?

FIRST Step Consider the formula

RI = \frac{\sin (i angle)}{\sin (r)}

Next Step Substitute values of Variables

∴

RI = \frac{\sin (44)}{\sin (30°)}

Next Step Convert Units

∴

RI = \frac{\sin (44)}{\sin (0.5236rad)}

Next Step Prepare to Evaluate

∴

RI = \frac{\sin (44)}{\sin (0.5236)}

Next Step Evaluate

∴

RI = 0.0354038502108272

LAST Step Rounding Answer

∴

RI = 0.0354

Refractive Index Formula Elements

Variables

Functions

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.

Symbol: RI

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Refractive Index

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.

Symbol: i_angle

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Angle Of Incidence in degree

Angle of Refraction

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.

Symbol: r

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Angle of Refraction

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.

Syntax: sin(Angle)

Other Formulas to find Refractive Index

Go Refractive Index given Vertical Displacement

RI = \frac{1}{1 - \frac{V d}{i angle \cdot (\frac{π}{180}) \cdot p t}}

Other formulas in Tilting level category

Go Vertical Displacement for Small Angles

V d = p t \cdot (1 - \frac{1}{RI}) \cdot (i angle \cdot \frac{π}{180})

Go Angle of Incidence for given Vertical displacement

i angle = (\frac{V d}{p t \cdot (1 - (\frac{1}{RI}))}) \cdot (\frac{180}{π})

How to Evaluate Refractive Index?

Refractive Index evaluator uses Refractive Index = sin(Angle Of Incidence in degree)/sin(Angle of Refraction) to evaluate 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 evaluate Refractive Index using this online evaluator? To use this online evaluator for Refractive Index, enter Angle Of Incidence in degree (i_angle) & Angle of Refraction (r) and hit the calculate button.

FAQs on Refractive Index

What is the formula to find Refractive Index?

The formula of Refractive Index is expressed as Refractive Index = sin(Angle Of Incidence in degree)/sin(Angle of Refraction). Here is an example- 0.035404 = sin(44)/sin(0.5235987755982).

How to calculate Refractive Index?

With Angle Of Incidence in degree (i_angle) & Angle of Refraction (r) we can find Refractive Index using the formula - Refractive Index = sin(Angle Of Incidence in degree)/sin(Angle of Refraction). This formula also uses Sine (sin) function(s).

What are the other ways to Calculate Refractive Index?

Here are the different ways to Calculate Refractive Index-

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

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