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Total Momentum of Electrons in Elliptical Orbit Calculator

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✖Angular Momentum is the degree to which a body rotates, gives its angular momentum.ⓘ Angular Momentum [L]			+10% -10%
✖Radial Momentum is a vector quantity that is a measure of the rotational momentum of a rotating electron in an elliptical orbit.ⓘ Radial Momentum [p_r]			+10% -10%

✖Total Momentum given EO for a system is simply the total mass of the objects multiplied by their velocity.ⓘ Total Momentum of Electrons in Elliptical Orbit [Tp]

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Total Momentum of Electrons in Elliptical Orbit Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Momentum given EO = sqrt((Angular Momentum^2)+(Radial Momentum^2))
Tp = sqrt((L^2)+(p_r^2))
This formula uses 1 Functions, 3 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Total Momentum given EO - (Measured in Kilogram Meter per Second) - Total Momentum given EO for a system is simply the total mass of the objects multiplied by their velocity.
Angular Momentum - (Measured in Kilogram Square Meter per Second) - Angular Momentum is the degree to which a body rotates, gives its angular momentum.
Radial Momentum - (Measured in Kilogram Meter per Second) - Radial Momentum is a vector quantity that is a measure of the rotational momentum of a rotating electron in an elliptical orbit.

STEP 1: Convert Input(s) to Base Unit

Angular Momentum: 14 Kilogram Square Meter per Second --> 14 Kilogram Square Meter per Second No Conversion Required
Radial Momentum: 100 Kilogram Meter per Second --> 100 Kilogram Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Tp = sqrt((L^2)+(p_r^2)) --> sqrt((14^2)+(100^2))

Evaluating ... ...

Tp = 100.975244490915

STEP 3: Convert Result to Output's Unit

100.975244490915 Kilogram Meter per Second --> No Conversion Required

FINAL ANSWER

100.975244490915 ≈ 100.9752 Kilogram Meter per Second <-- Total Momentum given EO

(Calculation completed in 00.020 seconds)

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Created by Akshada Kulkarni

National Institute of Information Technology (NIIT), Neemrana

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< Sommerfeld Model Calculators

Energy of Electron in Elliptical Orbit

LaTeX Go Energy of EO = (-((Atomic Number^2)*[Mass-e]*([Charge-e]^4))/(8*([Permitivity-vacuum]^2)*([hP]^2)*(Quantum Number^2)))

Radial Momentum of Electron

LaTeX Go Radial Momentum of Electron = (Radial Quantization Number*[hP])/(2*pi)

Total Momentum of Electrons in Elliptical Orbit

LaTeX Go Total Momentum given EO = sqrt((Angular Momentum^2)+(Radial Momentum^2))

Quantum Number of Electron in Elliptical Orbit

LaTeX Go Quantum Number = Radial Quantization Number+Angular Quantization Number

Total Momentum of Electrons in Elliptical Orbit Formula

LaTeX Go

Total Momentum given EO = sqrt((Angular Momentum^2)+(Radial Momentum^2))
Tp = sqrt((L^2)+(p_r^2))

What is Sommerfeld atomic model?

Sommerfeld model was proposed to explain the fine spectrum. Sommerfeld predicted that electrons revolve in elliptical orbits as well as circular orbits. During the motion of electrons in a circular orbit, the only angle of revolution changes while the distance from the nucleus remains the same but in an elliptical orbit, both are changed. The distance from the nucleus is termed as radius vector and the angle of revolution predicted is the azimuthal angle.

How to Calculate Total Momentum of Electrons in Elliptical Orbit?

Total Momentum of Electrons in Elliptical Orbit calculator uses Total Momentum given EO = sqrt((Angular Momentum^2)+(Radial Momentum^2)) to calculate the Total Momentum given EO, The Total Momentum of Electrons in Elliptical Orbit is the total radial momentum and angular/ tangential momentum of the electrons revolving in an elliptical orbit. Total Momentum given EO is denoted by Tp symbol.

How to calculate Total Momentum of Electrons in Elliptical Orbit using this online calculator? To use this online calculator for Total Momentum of Electrons in Elliptical Orbit, enter Angular Momentum (L) & Radial Momentum (p_r) and hit the calculate button. Here is how the Total Momentum of Electrons in Elliptical Orbit calculation can be explained with given input values -> 100.9752 = sqrt((14^2)+(100^2)).

FAQ

What is Total Momentum of Electrons in Elliptical Orbit?

The Total Momentum of Electrons in Elliptical Orbit is the total radial momentum and angular/ tangential momentum of the electrons revolving in an elliptical orbit and is represented as Tp = sqrt((L^2)+(p_r^2)) or Total Momentum given EO = sqrt((Angular Momentum^2)+(Radial Momentum^2)). Angular Momentum is the degree to which a body rotates, gives its angular momentum & Radial Momentum is a vector quantity that is a measure of the rotational momentum of a rotating electron in an elliptical orbit.

How to calculate Total Momentum of Electrons in Elliptical Orbit?

The Total Momentum of Electrons in Elliptical Orbit is the total radial momentum and angular/ tangential momentum of the electrons revolving in an elliptical orbit is calculated using Total Momentum given EO = sqrt((Angular Momentum^2)+(Radial Momentum^2)). To calculate Total Momentum of Electrons in Elliptical Orbit, you need Angular Momentum (L) & Radial Momentum (p_r). With our tool, you need to enter the respective value for Angular Momentum & Radial Momentum and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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