Coefficient of Refraction using Critical Angle 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]

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✖Coefficient of Refraction is the ratio of the speed of light in a vacuum to its speed in a specific medium, describing how much a light beam is refracted when passing through it.ⓘ Coefficient of Refraction using Critical Angle [μ]

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Formula

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Coefficient of Refraction using Critical Angle

Formula

`"μ" = cosec("i")`

Example

`"1.555724"=cosec("40°")`

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Coefficient of Refraction using Critical Angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Coefficient of Refraction = cosec(Angle of Incidence)
μ = cosec(i)
This formula uses 2 Functions, 2 Variables

Functions Used

sec - Secant is a trigonometric function that is defined ratio of the hypotenuse to the shorter side adjacent to an acute angle (in a right-angled triangle); the reciprocal of a cosine., sec(Angle)
cosec - The cosecant function is a trigonometric function that is the reciprocal of the sine function., cosec(Angle)

Variables Used

Coefficient of Refraction - Coefficient of Refraction is the ratio of the speed of light in a vacuum to its speed in a specific medium, describing how much a light beam is refracted when passing through it.
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.

STEP 1: Convert Input(s) to Base Unit

Angle of Incidence: 40 Degree --> 0.698131700797601 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

μ = cosec(i) --> cosec(0.698131700797601)

Evaluating ... ...

μ = 1.55572382686065

STEP 3: Convert Result to Output's Unit

1.55572382686065 --> No Conversion Required

FINAL ANSWER

1.55572382686065 ≈ 1.555724 <-- Coefficient of Refraction

(Calculation completed in 00.004 seconds)

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Created by Anirudh Singh

National Institute of Technology (NIT), Jamshedpur

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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

Coefficient of Refraction using Critical Angle Formula

Coefficient of Refraction = cosec(Angle of Incidence)
μ = cosec(i)

What is critical Angle?

The critical angle is the minimum angle of incidence at which light can pass from a denser medium to a less dense medium and refract rather than reflect. When the angle of incidence exceeds this angle, total internal reflection occurs. The critical angle is essential in understanding fiber optics and the behavior of light at boundaries between different materials.

How to Calculate Coefficient of Refraction using Critical Angle?

Coefficient of Refraction using Critical Angle calculator uses Coefficient of Refraction = cosec(Angle of Incidence) to calculate the Coefficient of Refraction, Coefficient of Refraction using Critical Angle formula is defined as a measure of the bending of light as it passes from one medium to another, specifically at the critical angle where light is refracted at a right angle and is an important concept in optics and physics. Coefficient of Refraction is denoted by μ symbol.

How to calculate Coefficient of Refraction using Critical Angle using this online calculator? To use this online calculator for Coefficient of Refraction using Critical Angle, enter Angle of Incidence (i) and hit the calculate button. Here is how the Coefficient of Refraction using Critical Angle calculation can be explained with given input values -> 1.555724 = cosec(0.698131700797601).

FAQ

What is Coefficient of Refraction using Critical Angle?

Coefficient of Refraction using Critical Angle formula is defined as a measure of the bending of light as it passes from one medium to another, specifically at the critical angle where light is refracted at a right angle and is an important concept in optics and physics and is represented as μ = cosec(i) or Coefficient of Refraction = cosec(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.

How to calculate Coefficient of Refraction using Critical Angle?

Coefficient of Refraction using Critical Angle formula is defined as a measure of the bending of light as it passes from one medium to another, specifically at the critical angle where light is refracted at a right angle and is an important concept in optics and physics is calculated using Coefficient of Refraction = cosec(Angle of Incidence). To calculate Coefficient of Refraction using Critical Angle, you need Angle of Incidence (i). With our tool, you need to enter the respective value for Angle of Incidence 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 Coefficient of Refraction?

In this formula, Coefficient of Refraction uses Angle of Incidence. We can use 3 other way(s) to calculate the same, which is/are as follows -

Coefficient of Refraction = sin(Angle of Incidence)/sin(Angle of Refraction)
Coefficient of Refraction = Real Depth/Apparent Depth
Coefficient of Refraction = [c]/Velocity of Light in Medium

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