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Moment of Inertia given Eigen Value of Energy Formula

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Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis. Check FAQs

I = \frac{l \cdot (l + 1) \cdot {([hP])}^{2}}{2 \cdot E}

I - Moment of Inertia?l - Angular Momentum Quantum Number?E - Eigenvalue of Energy?[hP] - Planck constant?

Moment of Inertia given Eigen Value of Energy Example

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Here is how the Moment of Inertia given Eigen Value of Energy equation looks like with Values.

Here is how the Moment of Inertia given Eigen Value of Energy equation looks like with Units.

Here is how the Moment of Inertia given Eigen Value of Energy equation looks like.

0.0002 = \frac{1.9 \cdot (1.9 + 1) \cdot {(6.6E-34)}^{2}}{2 \cdot 7E-63}

0.0002kg·m² = \frac{1.9 \cdot (1.9 + 1) \cdot {(6.6E-34)}^{2}}{2 \cdot 7E-63J}

0.0002 = \frac{1.9 \cdot (1.9 + 1) \cdot {(6.6E-34)}^{2}}{2 \cdot 7E-63}

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Moment of Inertia given Eigen Value of Energy Solution

Follow our step by step solution on how to calculate Moment of Inertia given Eigen Value of Energy?

FIRST Step Consider the formula

I = \frac{l \cdot (l + 1) \cdot {([hP])}^{2}}{2 \cdot E}

Next Step Substitute values of Variables

∴

I = \frac{1.9 \cdot (1.9 + 1) \cdot {([hP])}^{2}}{2 \cdot 7E-63J}

Next Step Substitute values of Constants

∴

I = \frac{1.9 \cdot (1.9 + 1) \cdot {(6.6E-34)}^{2}}{2 \cdot 7E-63J}

Next Step Prepare to Evaluate

∴

I = \frac{1.9 \cdot (1.9 + 1) \cdot {(6.6E-34)}^{2}}{2 \cdot 7E-63}

Next Step Evaluate

∴

I = 0.000172796765002979kg·m²

LAST Step Rounding Answer

∴

I = 0.0002kg·m²

Moment of Inertia given Eigen Value of Energy Formula Elements

Variables

Constants

Moment of Inertia

Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis.

Symbol: I

Measurement: Moment of InertiaUnit: kg·m²

Note: Value should be greater than 0.

Formulas to find Moment of Inertia

Angular Momentum Quantum Number

Angular Momentum Quantum Number is the quantum number associated with the angular momentum of an atomic electron.

Symbol: l

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Angular Momentum Quantum Number

Eigenvalue of Energy

Eigenvalue of Energy is the value of the solution that exists for the time-independent Schrodinger equation only for certain values of energy.

Symbol: E

Measurement: EnergyUnit: J

Note: Value can be positive or negative.

Formulas to find Eigenvalue of Energy

Planck constant

Planck constant is a fundamental universal constant that defines the quantum nature of energy and relates the energy of a photon to its frequency.

Symbol: [hP]

Value: 6.626070040E-34

Other formulas in Electronic Spectroscopy category

Go Eigenvalue of Energy given Angular Momentum Quantum Number

E = \frac{l \cdot (l + 1) \cdot {([hP])}^{2}}{2 \cdot I}

Go Rydberg Constant given Compton Wavelength

R = \frac{{(α)}^{2}}{2 \cdot λ c}

Go Binding Energy of Photoelectron

E binding = ([hP] \cdot ν) - E kinetic - Φ

Go Frequency of Absorbed Radiation

ν mn = \frac{E m - E n}{[hP]}

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

Moment of Inertia given Eigen Value of Energy evaluator uses Moment of Inertia = (Angular Momentum Quantum Number*(Angular Momentum Quantum Number+1)*([hP])^2)/(2*Eigenvalue of Energy) to evaluate 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 evaluate Moment of Inertia given Eigen Value of Energy using this online evaluator? To use this online evaluator for Moment of Inertia given Eigen Value of Energy, enter Angular Momentum Quantum Number (l) & Eigenvalue of Energy (E) and hit the calculate button.

FAQs on Moment of Inertia given Eigen Value of Energy

What is the formula to find Moment of Inertia given Eigen Value of Energy?

The formula of Moment of Inertia given Eigen Value of Energy is expressed as Moment of Inertia = (Angular Momentum Quantum Number*(Angular Momentum Quantum Number+1)*([hP])^2)/(2*Eigenvalue of Energy). Here is an example- 0.000173 = (1.9*(1.9+1)*([hP])^2)/(2*7E-63).

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

With Angular Momentum Quantum Number (l) & Eigenvalue of Energy (E) we can find Moment of Inertia given Eigen Value of Energy using the formula - Moment of Inertia = (Angular Momentum Quantum Number*(Angular Momentum Quantum Number+1)*([hP])^2)/(2*Eigenvalue of Energy). This formula also uses Planck constant .

Can the Moment of Inertia given Eigen Value of Energy be negative?

No, the Moment of Inertia given Eigen Value of Energy, measured in Moment of Inertia cannot be negative.

Which unit is used to measure Moment of Inertia given Eigen Value of Energy?

Moment of Inertia given Eigen Value of Energy is usually measured using the Kilogram Square Meter[kg·m²] for Moment of Inertia. Kilogram Square Centimeter[kg·m²], Kilogram Square Millimeter[kg·m²], Gram Square Centimeter[kg·m²] are the few other units in which Moment of Inertia given Eigen Value of Energy can be measured.

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