Refractive Index given Vertical Displacement Calculator

✖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.ⓘ Vertical Displacement of Refracted Ray [V_d]			+10% -10%
✖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.ⓘ Angle Of Incidence in degree [i_angle]			+10% -10%
✖Plate Thickness is the distance through the bearing plate.ⓘ Plate Thickness [p_t]			+10% -10%

✖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.ⓘ Refractive Index given Vertical Displacement [RI]

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Formula

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Refractive Index given Vertical Displacement

Formula

`"RI" = 1/(1-("V"_{"d"})/("i"_{"angle"}*(pi/180)*"p"_{"t"}))`

Example

`"1.185201"=1/(1-("12mm")/("44"*(pi/180)*"100mm"))`

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Refractive Index given Vertical Displacement Solution

STEP 0: Pre-Calculation Summary

Formula Used

Refractive Index = 1/(1-(Vertical Displacement of Refracted Ray)/(Angle Of Incidence in degree*(pi/180)*Plate Thickness))
RI = 1/(1-(V_d)/(i_angle*(pi/180)*p_t))
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
Vertical Displacement of Refracted Ray - (Measured in Meter) - 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.
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.
Plate Thickness - (Measured in Meter) - Plate Thickness is the distance through the bearing plate.

STEP 1: Convert Input(s) to Base Unit

Vertical Displacement of Refracted Ray: 12 Millimeter --> 0.012 Meter (Check conversion here)
Angle Of Incidence in degree: 44 --> No Conversion Required
Plate Thickness: 100 Millimeter --> 0.1 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

RI = 1/(1-(V_d)/(i_angle*(pi/180)*p_t)) --> 1/(1-(0.012)/(44*(pi/180)*0.1))

Evaluating ... ...

RI = 1.1852009413046

STEP 3: Convert Result to Output's Unit

1.1852009413046 --> No Conversion Required

FINAL ANSWER

1.1852009413046 ≈ 1.185201 <-- Refractive Index

(Calculation completed in 00.004 seconds)

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Created by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

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< 4 Tilting level Calculators

Angle of Incidence for given Vertical displacement

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

Refractive Index given Vertical Displacement

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

Vertical Displacement for Small Angles

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

Refractive Index

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

Refractive Index given Vertical Displacement Formula

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

What is Tilting Level?

In this type of level the telescope can be rotated about a horizontal axis. It enables the surveyor to quickly centre the bubble and thus bring the line of sight into the horizontal plane. The main feature of the tilting level is the telescope which can be tilted by 4° in a vertical plane with the help of a tilting screw. Further, it is not necessary that the line of collimation and the vertical axis of the tilting level be at right angles during observations.

How to Calculate Refractive Index given Vertical Displacement?

Refractive Index given Vertical Displacement calculator uses Refractive Index = 1/(1-(Vertical Displacement of Refracted Ray)/(Angle Of Incidence in degree*(pi/180)*Plate Thickness)) to calculate 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 calculate Refractive Index given Vertical Displacement using this online calculator? To use this online calculator 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. Here is how the Refractive Index given Vertical Displacement calculation can be explained with given input values -> 1.185201 = 1/(1-(0.012)/(44*(pi/180)*0.1)).

FAQ

What is Refractive Index given Vertical Displacement?

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 and is represented as RI = 1/(1-(V_d)/(i_angle*(pi/180)*p_t)) or Refractive Index = 1/(1-(Vertical Displacement of Refracted Ray)/(Angle Of Incidence in degree*(pi/180)*Plate Thickness)). 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, 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 & Plate Thickness is the distance through the bearing plate.

How to calculate Refractive Index given Vertical Displacement?

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 is calculated using Refractive Index = 1/(1-(Vertical Displacement of Refracted Ray)/(Angle Of Incidence in degree*(pi/180)*Plate Thickness)). To calculate Refractive Index given Vertical Displacement, you need Vertical Displacement of Refracted Ray (V_d), Angle Of Incidence in degree (i_angle) & Plate Thickness (p_t). With our tool, you need to enter the respective value for Vertical Displacement of Refracted Ray, Angle Of Incidence in degree & Plate Thickness 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 Refractive Index?

In this formula, Refractive Index uses Vertical Displacement of Refracted Ray, Angle Of Incidence in degree & Plate Thickness. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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