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Refractive Index Formula

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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. Check FAQs

n = \frac{\sin (i)}{\sin (r)}

n - Refractive Index?i - Angle of Incidence?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.

1.2802 = \frac{\sin (40)}{\sin (30.14)}

1.2802 = \frac{\sin (40°)}{\sin (30.14°)}

1.2802 = \frac{\sin (40)}{\sin (30.14)}

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Refractive Index Solution

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

FIRST Step Consider the formula

n = \frac{\sin (i)}{\sin (r)}

Next Step Substitute values of Variables

∴

n = \frac{\sin (40°)}{\sin (30.14°)}

Next Step Convert Units

∴

n = \frac{\sin (0.6981rad)}{\sin (0.526rad)}

Next Step Prepare to Evaluate

∴

n = \frac{\sin (0.6981)}{\sin (0.526)}

Next Step Evaluate

∴

n = 1.28016115024344

LAST Step Rounding Answer

∴

n = 1.2802

Refractive Index Formula Elements

Variables

Functions

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.

Symbol: n

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Refractive Index

Angle of Incidence

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.

Symbol: i

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Angle of Incidence

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 in Refraction category

Go Angle of Deviation

D = i + e - A

Go Angle of Deviation in Dispersion

D = (μ - 1) \cdot A

Go Angle of Emergence

e = A + D - i

Go Angle of Incidence

i = D + A - e

How to Evaluate Refractive Index?

Refractive Index evaluator uses Refractive Index = sin(Angle of Incidence)/sin(Angle of Refraction) to evaluate 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 evaluate Refractive Index using this online evaluator? To use this online evaluator for Refractive Index, enter Angle of Incidence (i) & 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)/sin(Angle of Refraction). Here is an example- 1.280161 = sin(0.698131700797601)/sin(0.526042236550992).

How to calculate Refractive Index?

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

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Refractive Index Formula

Refractive Index Example

Refractive Index Solution

Refractive Index Formula Elements

Other formulas in Refraction category

How to Evaluate Refractive Index?

FAQs on Refractive Index

Variable Name