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Mass of Particle given de Broglie Wavelength and Kinetic Energy Formula

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Mass of Moving E is the mass of an electron, moving with some velocity. Check FAQs

m e = \frac{{[hP]}^{2}}{({(λ)}^{2}) \cdot 2 \cdot KE}

m_e - Mass of Moving E?λ - Wavelength?KE - Kinetic Energy?[hP] - Planck constant?

Mass of Particle given de Broglie Wavelength and Kinetic Energy Example

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

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

Here is how the Mass of Particle given de Broglie Wavelength and Kinetic Energy equation looks like.

4E-25 = \frac{{6.6E-34}^{2}}{({(2.1)}^{2}) \cdot 2 \cdot 75}

4E-25Dalton = \frac{{6.6E-34}^{2}}{({(2.1nm)}^{2}) \cdot 2 \cdot 75J}

4E-25 = \frac{{6.6E-34}^{2}}{({(2.1)}^{2}) \cdot 2 \cdot 75}

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Mass of Particle given de Broglie Wavelength and Kinetic Energy Solution

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

FIRST Step Consider the formula

m e = \frac{{[hP]}^{2}}{({(λ)}^{2}) \cdot 2 \cdot KE}

Next Step Substitute values of Variables

∴

m e = \frac{{[hP]}^{2}}{({(2.1nm)}^{2}) \cdot 2 \cdot 75J}

Next Step Substitute values of Constants

∴

m e = \frac{{6.6E-34}^{2}}{({(2.1nm)}^{2}) \cdot 2 \cdot 75J}

Next Step Convert Units

∴

m e = \frac{{6.6E-34}^{2}}{({(2.1E-9m)}^{2}) \cdot 2 \cdot 75J}

Next Step Prepare to Evaluate

∴

m e = \frac{{6.6E-34}^{2}}{({(2.1E-9)}^{2}) \cdot 2 \cdot 75}

Next Step Evaluate

∴

m e = 6.63715860544E-52kg

Next Step Convert to Output's Unit

∴

m e = 3.99701216180914E-25Dalton

LAST Step Rounding Answer

∴

m e = 4E-25Dalton

Mass of Particle given de Broglie Wavelength and Kinetic Energy Formula Elements

Variables

Constants

Mass of Moving E

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

Symbol: m_e

Measurement: WeightUnit: Dalton

Note: Value can be positive or negative.

Formulas to find Mass of Moving E

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

Kinetic Energy

Kinetic Energy is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity. Having gained this energy during its acceleration, the body maintains this kinetic energy unless its speed changes.

Symbol: KE

Measurement: EnergyUnit: J

Note: Value can be positive or negative.

Formulas to find Kinetic 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 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 Mass of Particle given de Broglie Wavelength and Kinetic Energy?

Mass of Particle given de Broglie Wavelength and Kinetic Energy evaluator uses Mass of Moving E = ([hP]^2)/(((Wavelength)^2)*2*Kinetic Energy) to evaluate the Mass of Moving E, The Mass of particle given de Broglie Wavelength and Kinetic Energy formula is defined as it associated with a particle/electron and is related to its Kinetic energy, KE, and de Broglie wavelength through the Planck constant, h. Mass of Moving E is denoted by m_e symbol.

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

FAQs on Mass of Particle given de Broglie Wavelength and Kinetic Energy

What is the formula to find Mass of Particle given de Broglie Wavelength and Kinetic Energy?

The formula of Mass of Particle given de Broglie Wavelength and Kinetic Energy is expressed as Mass of Moving E = ([hP]^2)/(((Wavelength)^2)*2*Kinetic Energy). Here is an example- 240.707 = ([hP]^2)/(((2.1E-09)^2)*2*75).

How to calculate Mass of Particle given de Broglie Wavelength and Kinetic Energy?

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

Can the Mass of Particle given de Broglie Wavelength and Kinetic Energy be negative?

Yes, the Mass of Particle given de Broglie Wavelength and Kinetic Energy, measured in Weight can be negative.

Which unit is used to measure Mass of Particle given de Broglie Wavelength and Kinetic Energy?

Mass of Particle given de Broglie Wavelength and Kinetic Energy is usually measured using the Dalton[Dalton] for Weight. Kilogram[Dalton], Gram[Dalton], Milligram[Dalton] are the few other units in which Mass of Particle given de Broglie Wavelength and Kinetic Energy can be measured.

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Mass of Particle given de Broglie Wavelength and Kinetic Energy Formula

Mass of Particle given de Broglie Wavelength and Kinetic Energy Example

Mass of Particle given de Broglie Wavelength and Kinetic Energy Solution

Mass of Particle given de Broglie Wavelength and Kinetic Energy Formula Elements

Other formulas in De Broglie Hypothesis category

How to Evaluate Mass of Particle given de Broglie Wavelength and Kinetic Energy?

FAQs on Mass of Particle given de Broglie Wavelength and Kinetic Energy

Variable Name