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Angular Momentum of Electron given Radial Momentum Calculator

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✖Total Momentum for a system is simply the total mass of the objects multiplied by their velocity.ⓘ Total Momentum [p]			+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%

✖Angular Momentum given RM is the degree to which a body rotates, gives its angular momentum.ⓘ Angular Momentum of Electron given Radial Momentum [L_RM]

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Angular Momentum of Electron given Radial Momentum Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angular Momentum given RM = sqrt((Total Momentum^2)-(Radial Momentum^2))
L_RM = sqrt((p^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

Angular Momentum given RM - (Measured in Kilogram Square Meter per Second) - Angular Momentum given RM is the degree to which a body rotates, gives its angular momentum.
Total Momentum - (Measured in Kilogram Meter per Second) - Total Momentum for a system is simply the total mass of the objects multiplied by their velocity.
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

Total Momentum: 200 Kilogram Meter per Second --> 200 Kilogram 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

L_RM = sqrt((p^2)-(p_r^2)) --> sqrt((200^2)-(100^2))

Evaluating ... ...

L_RM = 173.205080756888

STEP 3: Convert Result to Output's Unit

173.205080756888 Kilogram Square Meter per Second --> No Conversion Required

FINAL ANSWER

173.205080756888 ≈ 173.2051 Kilogram Square Meter per Second <-- Angular Momentum given RM

(Calculation completed in 00.004 seconds)

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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

Angular Momentum of Electron given Radial Momentum Formula

LaTeX Go

Angular Momentum given RM = sqrt((Total Momentum^2)-(Radial Momentum^2))
L_RM = sqrt((p^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 Angular Momentum of Electron given Radial Momentum?

Angular Momentum of Electron given Radial Momentum calculator uses Angular Momentum given RM = sqrt((Total Momentum^2)-(Radial Momentum^2)) to calculate the Angular Momentum given RM, The Angular momentum of electron given radial momentum is defined as the rotational equivalent of linear momentum. It is denoted as L. Angular Momentum given RM is denoted by L_RM symbol.

How to calculate Angular Momentum of Electron given Radial Momentum using this online calculator? To use this online calculator for Angular Momentum of Electron given Radial Momentum, enter Total Momentum (p) & Radial Momentum (p_r) and hit the calculate button. Here is how the Angular Momentum of Electron given Radial Momentum calculation can be explained with given input values -> 173.2051 = sqrt((200^2)-(100^2)).

FAQ

What is Angular Momentum of Electron given Radial Momentum?

The Angular momentum of electron given radial momentum is defined as the rotational equivalent of linear momentum. It is denoted as L and is represented as L_RM = sqrt((p^2)-(p_r^2)) or Angular Momentum given RM = sqrt((Total Momentum^2)-(Radial Momentum^2)). Total Momentum for a system is simply the total mass of the objects multiplied by their velocity & 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 Angular Momentum of Electron given Radial Momentum?

The Angular momentum of electron given radial momentum is defined as the rotational equivalent of linear momentum. It is denoted as L is calculated using Angular Momentum given RM = sqrt((Total Momentum^2)-(Radial Momentum^2)). To calculate Angular Momentum of Electron given Radial Momentum, you need Total Momentum (p) & Radial Momentum (p_r). With our tool, you need to enter the respective value for Total 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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