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Relation between de Broglie Wavelength and Kinetic Energy of Particle Formula

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

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

λ - Wavelength?KE - Kinetic Energy?m - Mass of Moving Electron?[hP] - Planck constant?

Relation between de Broglie Wavelength and Kinetic Energy of Particle Example

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

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

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

5E-12 = \frac{6.6E-34}{\sqrt{2 \cdot 75 \cdot 0.07}}

5E-12nm = \frac{6.6E-34}{\sqrt{2 \cdot 75J \cdot 0.07Dalton}}

5E-12 = \frac{6.6E-34}{\sqrt{2 \cdot 75 \cdot 0.07}}

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Relation between de Broglie Wavelength and Kinetic Energy of Particle Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

λ = \frac{[hP]}{\sqrt{2 \cdot 75J \cdot 0.07Dalton}}

Next Step Substitute values of Constants

∴

λ = \frac{6.6E-34}{\sqrt{2 \cdot 75J \cdot 0.07Dalton}}

Next Step Convert Units

∴

λ = \frac{6.6E-34}{\sqrt{2 \cdot 75J \cdot 1.2E-28kg}}

Next Step Prepare to Evaluate

∴

λ = \frac{6.6E-34}{\sqrt{2 \cdot 75 \cdot 1.2E-28}}

Next Step Evaluate

∴

λ = 5.01808495537865E-21m

Next Step Convert to Output's Unit

∴

λ = 5.01808495537865E-12nm

LAST Step Rounding Answer

∴

λ = 5E-12nm

Relation between de Broglie Wavelength and Kinetic Energy of Particle Formula Elements

Variables

Constants

Functions

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

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

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

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

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 De Broglie Wavelength of Charged Particle given Potential

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

Go De Broglie Wavelength for Electron given Potential

λ PE = \frac{12.27}{\sqrt{V}}

How to Evaluate Relation between de Broglie Wavelength and Kinetic Energy of Particle?

Relation between de Broglie Wavelength and Kinetic Energy of Particle evaluator uses Wavelength = [hP]/sqrt(2*Kinetic Energy*Mass of Moving Electron) to evaluate the Wavelength, The Relation between de Broglie wavelength and kinetic energy of particle is associated with a particle/electron and is related to its mass, m, and kinetic energy, KE through the Planck constant, h. Wavelength is denoted by λ symbol.

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

FAQs on Relation between de Broglie Wavelength and Kinetic Energy of Particle

What is the formula to find Relation between de Broglie Wavelength and Kinetic Energy of Particle?

The formula of Relation between de Broglie Wavelength and Kinetic Energy of Particle is expressed as Wavelength = [hP]/sqrt(2*Kinetic Energy*Mass of Moving Electron). Here is an example- 0.005018 = [hP]/sqrt(2*75*1.16237100006849E-28).

How to calculate Relation between de Broglie Wavelength and Kinetic Energy of Particle?

With Kinetic Energy (KE) & Mass of Moving Electron (m) we can find Relation between de Broglie Wavelength and Kinetic Energy of Particle using the formula - Wavelength = [hP]/sqrt(2*Kinetic Energy*Mass of Moving Electron). This formula also uses Planck constant and Square Root (sqrt) function(s).

Can the Relation between de Broglie Wavelength and Kinetic Energy of Particle be negative?

Yes, the Relation between de Broglie Wavelength and Kinetic Energy of Particle, measured in Wavelength can be negative.

Which unit is used to measure Relation between de Broglie Wavelength and Kinetic Energy of Particle?

Relation between de Broglie Wavelength and Kinetic Energy of Particle is usually measured using the Nanometer[nm] for Wavelength. Meter[nm], Megameter[nm], Kilometer[nm] are the few other units in which Relation between de Broglie Wavelength and Kinetic Energy of Particle can be measured.

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Relation between de Broglie Wavelength and Kinetic Energy of Particle Formula

Relation between de Broglie Wavelength and Kinetic Energy of Particle Example

Relation between de Broglie Wavelength and Kinetic Energy of Particle Solution

Relation between de Broglie Wavelength and Kinetic Energy of Particle Formula Elements

Other formulas in De Broglie Hypothesis category

How to Evaluate Relation between de Broglie Wavelength and Kinetic Energy of Particle?

FAQs on Relation between de Broglie Wavelength and Kinetic Energy of Particle

Variable Name