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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15 Electronic Spectroscopy Calculators

Eigenvalue of Energy given Angular Momentum Quantum Number
Go Eigenvalue of Energy = (Angular Momentum Quantum Number*(Angular Momentum Quantum Number+1)*([hP])^2)/(2*Moment of Inertia)
Moment of Inertia given Eigen Value of Energy
Go Moment of Inertia = (Angular Momentum Quantum Number*(Angular Momentum Quantum Number+1)*([hP])^2)/(2*Eigenvalue of Energy)
Binding Energy of Photoelectron
Go Binding Energy of Photoelectron = ([hP]*Photon Frequency)-Kinetic Energy of Photoelectron-Work Function
Kinetic Energy of Photoelectron
Go Kinetic Energy of Photoelectron = ([hP]*Photon Frequency)-Binding Energy of Photoelectron-Work Function
Work Function
Go Work Function = ([hP]*Photon Frequency)-Binding Energy of Photoelectron-Kinetic Energy of Photoelectron
Frequency of Absorbed Radiation
Go Frequency of Absorbed Radiation = (Energy of Higher State-Energy of Lower State)/[hP]
Energy of Higher State
Go Energy of Higher State = (Frequency of Absorbed Radiation*[hP])+Energy of Lower State
Energy of Lower State
Go Energy of Lower State = (Frequency of Absorbed Radiation*[hP])+Energy of Higher State
Rydberg Constant given Compton Wavelength
Go Rydberg Constant = (Fine-Structure Constant)^2/(2*Compton Wavelength)
Coherence Length of Wave
Go Coherence Length = (Wavelength of Wave)^2/(2*Range of Wavelengths)
Range of Wavelength
Go Range of Wavelengths = (Wavelength of Wave)^2/(2*Coherence Length)
Wavelength given Angular Wave Number
Go Wavelength of Wave = (2*pi)/Angular Wavenumber
Angular Wavenumber
Go Angular Wavenumber = (2*pi)/Wavelength of Wave
Wavelength given Spectroscopic Wave Number
Go Wavelength of Light Wave = 1/Spectroscopic Wavenumber
Spectroscopic Wave Number
Go Spectroscopic Wavenumber = 1/Wavelength of Light Wave

Moment of Inertia given Eigen Value of Energy Formula

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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