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)+(pr^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)+(pr^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 00.004 seconds)

Credits

Created by Akshada Kulkarni
National Institute of Information Technology (NIIT), Neemrana
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Verified by Suman Ray Pramanik
Indian Institute of Technology (IIT), Kanpur
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9 Sommerfeld Model Calculators

Energy of Electron in Elliptical Orbit
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 given Angular Momentum
Go Radial Momentum of Electron given AM = sqrt((Total Momentum^2)-(Angular Momentum^2))
Angular Momentum of Electron
Go Angular Momentum of Atom = (Minor Axis of Elliptical Orbit*[hP])/(2*pi)
Radial Momentum of Electron
Go Radial Momentum of Electron = (Radial Quantization Number*[hP])/(2*pi)
Angular Momentum of Electron given Radial Momentum
Go Angular Momentum given RM = sqrt((Total Momentum^2)-(Radial Momentum^2))
Total Momentum of Electrons in Elliptical Orbit
Go Total Momentum given EO = sqrt((Angular Momentum^2)+(Radial Momentum^2))
Angular Quantization Number of Electron in Elliptical Orbit
Go Angular Quantization Number = Quantum Number-Radial Quantization Number
Radial Quantization Number of Electron in Elliptical Orbit
Go Radial Quantization Number = Quantum Number-Angular Quantization Number
Quantum Number of Electron in Elliptical Orbit
Go Quantum Number = Radial Quantization Number+Angular Quantization Number

Total Momentum of Electrons in Elliptical Orbit Formula

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