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

RI - Refractive Index?V_d - Vertical Displacement of Refracted Ray?i_angle - Angle Of Incidence in degree?p_t - Plate Thickness?π - Archimedes' constant?

Refractive Index given Vertical Displacement Example

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

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

Here is how the Refractive Index given Vertical Displacement equation looks like.

1.1852 = \frac{1}{1 - \frac{12}{44 \cdot (\frac{3.1416}{180}) \cdot 100}}

1.1852 = \frac{1}{1 - \frac{12mm}{44 \cdot (\frac{3.1416}{180}) \cdot 100mm}}

1.1852 = \frac{1}{1 - \frac{12}{44 \cdot (\frac{3.1416}{180}) \cdot 100}}

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Refractive Index given Vertical Displacement Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

RI = \frac{1}{1 - \frac{12mm}{44 \cdot (\frac{π}{180}) \cdot 100mm}}

Next Step Substitute values of Constants

∴

RI = \frac{1}{1 - \frac{12mm}{44 \cdot (\frac{3.1416}{180}) \cdot 100mm}}

Next Step Convert Units

∴

RI = \frac{1}{1 - \frac{0.012m}{44 \cdot (\frac{3.1416}{180}) \cdot 0.1m}}

Next Step Prepare to Evaluate

∴

RI = \frac{1}{1 - \frac{0.012}{44 \cdot (\frac{3.1416}{180}) \cdot 0.1}}

Next Step Evaluate

∴

RI = 1.1852009413046

LAST Step Rounding Answer

∴

RI = 1.1852

Refractive Index given Vertical Displacement Formula Elements

Variables

Constants

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

Vertical Displacement of Refracted Ray

Vertical Displacement of Refracted Ray is the vertical distance of the refracted position of the ray from the unrefracted position of the ray on the staff in a parallel plate micrometer.

Symbol: V_d

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Vertical Displacement of Refracted Ray

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

Plate Thickness

Plate Thickness is the distance through the bearing plate.

Symbol: p_t

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Plate Thickness

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Refractive Index

Go Refractive Index

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

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 given Vertical Displacement?

Refractive Index given Vertical Displacement evaluator uses Refractive Index = 1/(1-(Vertical Displacement of Refracted Ray)/(Angle Of Incidence in degree*(pi/180)*Plate Thickness)) to evaluate the Refractive Index, The Refractive Index given Vertical Displacement 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 given Vertical Displacement using this online evaluator? To use this online evaluator for Refractive Index given Vertical Displacement, enter Vertical Displacement of Refracted Ray (V_d), Angle Of Incidence in degree (i_angle) & Plate Thickness (p_t) and hit the calculate button.

FAQs on Refractive Index given Vertical Displacement

What is the formula to find Refractive Index given Vertical Displacement?

The formula of Refractive Index given Vertical Displacement is expressed as Refractive Index = 1/(1-(Vertical Displacement of Refracted Ray)/(Angle Of Incidence in degree*(pi/180)*Plate Thickness)). Here is an example- 1.185201 = 1/(1-(0.012)/(44*(pi/180)*0.1)).

How to calculate Refractive Index given Vertical Displacement?

With Vertical Displacement of Refracted Ray (V_d), Angle Of Incidence in degree (i_angle) & Plate Thickness (p_t) we can find Refractive Index given Vertical Displacement using the formula - Refractive Index = 1/(1-(Vertical Displacement of Refracted Ray)/(Angle Of Incidence in degree*(pi/180)*Plate Thickness)). This formula also uses Archimedes' constant .

What are the other ways to Calculate Refractive Index?

Here are the different ways to Calculate Refractive Index-

Refractive Index=sin(Angle Of Incidence in degree)/sin(Angle of Refraction)

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