Moment of Inertia given Eigen Value of Energy Calculator

✖Angular Momentum Quantum Number is the quantum number associated with the angular momentum of an atomic electron.ⓘ Angular Momentum Quantum Number [l]			+10% -10%
✖Eigenvalue of Energy is the value of the solution that exists for the time-independent Schrodinger equation only for certain values of energy.ⓘ Eigenvalue of Energy [E]			+10% -10%

✖Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis.ⓘ Moment of Inertia given Eigen Value of Energy [I]

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Moment of Inertia given Eigen Value of Energy Solution

STEP 0: Pre-Calculation Summary

Formula Used

Moment of Inertia = (Angular Momentum Quantum Number*(Angular Momentum Quantum Number+1)*([hP])^2)/(2*Eigenvalue of Energy)
I = (l*(l+1)*([hP])^2)/(2*E)
This formula uses 1 Constants, 3 Variables

Constants Used

[hP] - Planck constant Value Taken As 6.626070040E-34

Variables Used

Moment of Inertia - (Measured in Kilogram Square Meter) - Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis.
Angular Momentum Quantum Number - Angular Momentum Quantum Number is the quantum number associated with the angular momentum of an atomic electron.
Eigenvalue of Energy - (Measured in Joule) - Eigenvalue of Energy is the value of the solution that exists for the time-independent Schrodinger equation only for certain values of energy.

STEP 1: Convert Input(s) to Base Unit

Angular Momentum Quantum Number: 1.9 --> No Conversion Required
Eigenvalue of Energy: 7E-63 Joule --> 7E-63 Joule No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I = (l*(l+1)*([hP])^2)/(2*E) --> (1.9*(1.9+1)*([hP])^2)/(2*7E-63)

Evaluating ... ...

I = 0.000172796765002979

STEP 3: Convert Result to Output's Unit

0.000172796765002979 Kilogram Square Meter --> No Conversion Required

FINAL ANSWER

0.000172796765002979 ≈ 0.000173 Kilogram Square Meter <-- Moment of Inertia

(Calculation completed in 00.004 seconds)

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Moment of Inertia given Eigen Value of Energy Formula

LaTeX Go

Moment of Inertia = (Angular Momentum Quantum Number*(Angular Momentum Quantum Number+1)*([hP])^2)/(2*Eigenvalue of Energy)
I = (l*(l+1)*([hP])^2)/(2*E)

What does Bohr's model explain?

The Bohr model explains the atomic spectrum of hydrogen (see hydrogen spectral series) as well as various other atoms and ions. It is not perfectly accurate but is a remarkably good approximation in many cases, and historically played an important role in the development of quantum mechanics. The Bohr model posits that electrons revolve around the atomic nucleus in a manner analogous to planets revolving around the sun.

How to Calculate Moment of Inertia given Eigen Value of Energy?

Moment of Inertia given Eigen Value of Energy calculator uses Moment of Inertia = (Angular Momentum Quantum Number*(Angular Momentum Quantum Number+1)*([hP])^2)/(2*Eigenvalue of Energy) to calculate the Moment of Inertia, The Moment of Inertia given Eigen Value of Energy formula is defined as the measure of the resistance of a body to angular acceleration about a given axis. Moment of Inertia is denoted by I symbol.

How to calculate Moment of Inertia given Eigen Value of Energy using this online calculator? To use this online calculator for Moment of Inertia given Eigen Value of Energy, enter Angular Momentum Quantum Number (l) & Eigenvalue of Energy (E) and hit the calculate button. Here is how the Moment of Inertia given Eigen Value of Energy calculation can be explained with given input values -> 0.000173 = (1.9*(1.9+1)*([hP])^2)/(2*7E-63).

FAQ

What is Moment of Inertia given Eigen Value of Energy?

The Moment of Inertia given Eigen Value of Energy formula is defined as the measure of the resistance of a body to angular acceleration about a given axis and is represented as I = (l*(l+1)*([hP])^2)/(2*E) or Moment of Inertia = (Angular Momentum Quantum Number*(Angular Momentum Quantum Number+1)*([hP])^2)/(2*Eigenvalue of Energy). Angular Momentum Quantum Number is the quantum number associated with the angular momentum of an atomic electron & Eigenvalue of Energy is the value of the solution that exists for the time-independent Schrodinger equation only for certain values of energy.

How to calculate Moment of Inertia given Eigen Value of Energy?

The Moment of Inertia given Eigen Value of Energy formula is defined as the measure of the resistance of a body to angular acceleration about a given axis is calculated using Moment of Inertia = (Angular Momentum Quantum Number*(Angular Momentum Quantum Number+1)*([hP])^2)/(2*Eigenvalue of Energy). To calculate Moment of Inertia given Eigen Value of Energy, you need Angular Momentum Quantum Number (l) & Eigenvalue of Energy (E). With our tool, you need to enter the respective value for Angular Momentum Quantum Number & Eigenvalue of Energy 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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