Coefficient of Refraction using Boundary Angles Solution

STEP 0: Pre-Calculation Summary
Formula Used
Coefficient of Refraction = sin(Angle of Incidence)/sin(Angle of Refraction)
μ = 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
Coefficient of Refraction - Coefficient of Refraction is quotient of the sine of the angle of incidence divided by the sine of the angle of refraction.
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
μ = sin(i)/sin(r) --> sin(0.698131700797601)/sin(0.5235987755982)
Evaluating ... ...
μ = 1.28557521937288
STEP 3: Convert Result to Output's Unit
1.28557521937288 --> No Conversion Required
FINAL ANSWER
1.28557521937288 1.285575 <-- Coefficient of Refraction
(Calculation completed in 00.004 seconds)

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National Institute of Technology (NIT), Jamshedpur
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4 Coefficient of Refraction Calculators

Coefficient of Refraction using Boundary Angles
​ Go Coefficient of Refraction = sin(Angle of Incidence)/sin(Angle of Refraction)
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

Coefficient of Refraction using Boundary Angles Formula

Coefficient of Refraction = sin(Angle of Incidence)/sin(Angle of Refraction)
μ = sin(i)/sin(r)

What is angle of incidence ?

The angle between the normal and the incident ray at the point of incidence .

How to Calculate Coefficient of Refraction using Boundary Angles?

Coefficient of Refraction using Boundary Angles calculator uses Coefficient of Refraction = sin(Angle of Incidence)/sin(Angle of Refraction) to calculate the Coefficient of Refraction, Coefficient of Refraction using Boundary Angles is quotient of the sine of the angle of incidence divided by the sine of the angle of refraction. Coefficient of Refraction is denoted by μ symbol.

How to calculate Coefficient of Refraction using Boundary Angles using this online calculator? To use this online calculator for Coefficient of Refraction using Boundary Angles, enter Angle of Incidence (i) & Angle of Refraction (r) and hit the calculate button. Here is how the Coefficient of Refraction using Boundary Angles calculation can be explained with given input values -> 1.285575 = sin(0.698131700797601)/sin(0.5235987755982).

FAQ

What is Coefficient of Refraction using Boundary Angles?
Coefficient of Refraction using Boundary Angles is quotient of the sine of the angle of incidence divided by the sine of the angle of refraction and is represented as μ = sin(i)/sin(r) or Coefficient of Refraction = 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 Coefficient of Refraction using Boundary Angles?
Coefficient of Refraction using Boundary Angles is quotient of the sine of the angle of incidence divided by the sine of the angle of refraction is calculated using Coefficient of Refraction = sin(Angle of Incidence)/sin(Angle of Refraction). To calculate Coefficient of Refraction using Boundary Angles, 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.
How many ways are there to calculate Coefficient of Refraction?
In this formula, Coefficient of Refraction uses Angle of Incidence & Angle of Refraction. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Coefficient of Refraction = cosec(Angle of Incidence)
  • Coefficient of Refraction = Real Depth/Apparent Depth
  • Coefficient of Refraction = [c]/Velocity of Light in Medium
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