HCF of three numbers

Radial Momentum of Electron given Angular 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%
✖Angular Momentum is the degree to which a body rotates, gives its angular momentum.ⓘ Angular Momentum [L]			+10% -10%

✖Radial Momentum of Electron given AM is a vector quantity that is a measure of the rotational momentum of a rotating electron in an elliptical orbit.ⓘ Radial Momentum of Electron given Angular Momentum [p_AM]

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Radial Momentum of Electron given Angular Momentum Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radial Momentum of Electron given AM = sqrt((Total Momentum^2)-(Angular Momentum^2))
p_AM = sqrt((p^2)-(L^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

Radial Momentum of Electron given AM - (Measured in Kilogram Meter per Second) - Radial Momentum of Electron given AM is a vector quantity that is a measure of the rotational momentum of a rotating electron in an elliptical orbit.
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.
Angular Momentum - (Measured in Kilogram Square Meter per Second) - Angular Momentum is the degree to which a body rotates, gives its angular momentum.

STEP 1: Convert Input(s) to Base Unit

Total Momentum: 200 Kilogram Meter per Second --> 200 Kilogram Meter per Second No Conversion Required
Angular Momentum: 14 Kilogram Square Meter per Second --> 14 Kilogram Square Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

p_AM = sqrt((p^2)-(L^2)) --> sqrt((200^2)-(14^2))

Evaluating ... ...

p_AM = 199.509398274868

STEP 3: Convert Result to Output's Unit

199.509398274868 Kilogram Meter per Second --> No Conversion Required

FINAL ANSWER

199.509398274868 ≈ 199.5094 Kilogram Meter per Second <-- Radial Momentum of Electron given AM

(Calculation completed in 00.020 seconds)

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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

Radial Momentum of Electron given Angular Momentum Formula

LaTeX Go

Radial Momentum of Electron given AM = sqrt((Total Momentum^2)-(Angular Momentum^2))
p_AM = sqrt((p^2)-(L^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 Radial Momentum of Electron given Angular Momentum?

Radial Momentum of Electron given Angular Momentum calculator uses Radial Momentum of Electron given AM = sqrt((Total Momentum^2)-(Angular Momentum^2)) to calculate the Radial Momentum of Electron given AM, The Radial momentum of electron given angular momentum is a measure of the rotational momentum of a rotating electron in an elliptical orbit. Radial Momentum of Electron given AM is denoted by p_AM symbol.

How to calculate Radial Momentum of Electron given Angular Momentum using this online calculator? To use this online calculator for Radial Momentum of Electron given Angular Momentum, enter Total Momentum (p) & Angular Momentum (L) and hit the calculate button. Here is how the Radial Momentum of Electron given Angular Momentum calculation can be explained with given input values -> 199.5094 = sqrt((200^2)-(14^2)).

FAQ

What is Radial Momentum of Electron given Angular Momentum?

The Radial momentum of electron given angular momentum is a measure of the rotational momentum of a rotating electron in an elliptical orbit and is represented as p_AM = sqrt((p^2)-(L^2)) or Radial Momentum of Electron given AM = sqrt((Total Momentum^2)-(Angular Momentum^2)). Total Momentum for a system is simply the total mass of the objects multiplied by their velocity & Angular Momentum is the degree to which a body rotates, gives its angular momentum.

How to calculate Radial Momentum of Electron given Angular Momentum?

The Radial momentum of electron given angular momentum is a measure of the rotational momentum of a rotating electron in an elliptical orbit is calculated using Radial Momentum of Electron given AM = sqrt((Total Momentum^2)-(Angular Momentum^2)). To calculate Radial Momentum of Electron given Angular Momentum, you need Total Momentum (p) & Angular Momentum (L). With our tool, you need to enter the respective value for Total Momentum & Angular 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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