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Kinetic Energy given de Broglie Wavelength Formula

GoEnergy of Particle Formula

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Energy of AO is the amount of work done. Check FAQs

E AO = \frac{{[hP]}^{2}}{2 \cdot m \cdot (λ^{2})}

E_AO - Energy of AO?m - Mass of Moving Electron?λ - Wavelength?[hP] - Planck constant?

Kinetic Energy given de Broglie Wavelength Example

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Here is how the Kinetic Energy given de Broglie Wavelength equation looks like with Values.

Here is how the Kinetic Energy given de Broglie Wavelength equation looks like with Units.

Here is how the Kinetic Energy given de Broglie Wavelength equation looks like.

4.3E-22 = \frac{{6.6E-34}^{2}}{2 \cdot 0.07 \cdot ({2.1}^{2})}

4.3E-22J = \frac{{6.6E-34}^{2}}{2 \cdot 0.07Dalton \cdot ({2.1nm}^{2})}

4.3E-22 = \frac{{6.6E-34}^{2}}{2 \cdot 0.07 \cdot ({2.1}^{2})}

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Kinetic Energy given de Broglie Wavelength Solution

Follow our step by step solution on how to calculate Kinetic Energy given de Broglie Wavelength?

FIRST Step Consider the formula

E AO = \frac{{[hP]}^{2}}{2 \cdot m \cdot (λ^{2})}

Next Step Substitute values of Variables

∴

E AO = \frac{{[hP]}^{2}}{2 \cdot 0.07Dalton \cdot ({2.1nm}^{2})}

Next Step Substitute values of Constants

∴

E AO = \frac{{6.6E-34}^{2}}{2 \cdot 0.07Dalton \cdot ({2.1nm}^{2})}

Next Step Convert Units

∴

E AO = \frac{{6.6E-34}^{2}}{2 \cdot 1.2E-28kg \cdot ({2.1E-9m}^{2})}

Next Step Prepare to Evaluate

∴

E AO = \frac{{6.6E-34}^{2}}{2 \cdot 1.2E-28 \cdot ({2.1E-9}^{2})}

Next Step Evaluate

∴

E AO = 4.28251303050978E-22J

LAST Step Rounding Answer

∴

E AO = 4.3E-22J

Kinetic Energy given de Broglie Wavelength Formula Elements

Variables

Constants

Energy of AO

Energy of AO is the amount of work done.

Symbol: E_AO

Measurement: EnergyUnit: J

Note: Value can be positive or negative.

Formulas to find Energy of AO

Mass of Moving Electron

Mass of Moving Electron is the mass of an electron, moving with some velocity.

Symbol: m

Measurement: WeightUnit: Dalton

Note: Value can be positive or negative.

Formulas to find Mass of Moving Electron

Wavelength

Wavelength is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space or along a wire.

Symbol: λ

Measurement: WavelengthUnit: nm

Note: Value can be positive or negative.

Formulas to find Wavelength

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 to find Energy of AO

Go Energy of Particle

E AO = [hP] \cdot f

Other formulas in De Broglie Hypothesis category

Go De Broglie Wavelength of Particle in Circular Orbit

λ CO = \frac{2 \cdot π \cdot r orbit}{n quantum}

Go Number of Revolutions of Electron

n sec = \frac{v e}{2 \cdot π \cdot r orbit}

Go Relation between de Broglie Wavelength and Kinetic Energy of Particle

λ = \frac{[hP]}{\sqrt{2 \cdot KE \cdot m}}

Go De Broglie Wavelength of Charged Particle given Potential

λ P = \frac{[hP]}{2 \cdot [Charge-e] \cdot V \cdot m}

How to Evaluate Kinetic Energy given de Broglie Wavelength?

Kinetic Energy given de Broglie Wavelength evaluator uses Energy of AO = ([hP]^2)/(2*Mass of Moving Electron*(Wavelength^2)) to evaluate the Energy of AO, The Kinetic energy given de Broglie wavelength formula is associated with a particle/electron and is related to its mass, m and de Broglie wavelength through the Planck constant, h. Energy of AO is denoted by E_AO symbol.

How to evaluate Kinetic Energy given de Broglie Wavelength using this online evaluator? To use this online evaluator for Kinetic Energy given de Broglie Wavelength, enter Mass of Moving Electron (m) & Wavelength (λ) and hit the calculate button.

FAQs on Kinetic Energy given de Broglie Wavelength

What is the formula to find Kinetic Energy given de Broglie Wavelength?

The formula of Kinetic Energy given de Broglie Wavelength is expressed as Energy of AO = ([hP]^2)/(2*Mass of Moving Electron*(Wavelength^2)). Here is an example- 4.3E-22 = ([hP]^2)/(2*1.16237100006849E-28*(2.1E-09^2)).

How to calculate Kinetic Energy given de Broglie Wavelength?

With Mass of Moving Electron (m) & Wavelength (λ) we can find Kinetic Energy given de Broglie Wavelength using the formula - Energy of AO = ([hP]^2)/(2*Mass of Moving Electron*(Wavelength^2)). This formula also uses Planck constant .

What are the other ways to Calculate Energy of AO?

Here are the different ways to Calculate Energy of AO-

Energy of AO=[hP]*Frequency

Can the Kinetic Energy given de Broglie Wavelength be negative?

Yes, the Kinetic Energy given de Broglie Wavelength, measured in Energy can be negative.

Which unit is used to measure Kinetic Energy given de Broglie Wavelength?

Kinetic Energy given de Broglie Wavelength is usually measured using the Joule[J] for Energy. Kilojoule[J], Gigajoule[J], Megajoule[J] are the few other units in which Kinetic Energy given de Broglie Wavelength can be measured.

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Kinetic Energy given de Broglie Wavelength Formula

​GoEnergy of Particle Formula

Kinetic Energy given de Broglie Wavelength Example

Kinetic Energy given de Broglie Wavelength Solution

Kinetic Energy given de Broglie Wavelength Formula Elements

Other Formulas to find Energy of AO

Other formulas in De Broglie Hypothesis category

How to Evaluate Kinetic Energy given de Broglie Wavelength?

FAQs on Kinetic Energy given de Broglie Wavelength

Variable Name

GoEnergy of Particle Formula