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Relation between de Broglie Wavelength and Kinetic Energy of Particle Calculator

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✖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.ⓘ Kinetic Energy [KE]			+10% -10%
✖Mass of Moving Electron is the mass of an electron, moving with some velocity.ⓘ Mass of Moving Electron [m]			+10% -10%

✖Wavelength is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space or along a wire.ⓘ Relation between de Broglie Wavelength and Kinetic Energy of Particle [λ]

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Relation between de Broglie Wavelength and Kinetic Energy of Particle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wavelength = [hP]/sqrt(2*Kinetic Energy*Mass of Moving Electron)
λ = [hP]/sqrt(2*KE*m)
This formula uses 1 Constants, 1 Functions, 3 Variables

Constants Used

[hP] - Planck constant Value Taken As 6.626070040E-34

Functions Used

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., sqrt(Number)

Variables Used

Wavelength - (Measured in Meter) - Wavelength is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space or along a wire.
Kinetic Energy - (Measured in Joule) - 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.
Mass of Moving Electron - (Measured in Kilogram) - Mass of Moving Electron is the mass of an electron, moving with some velocity.

STEP 1: Convert Input(s) to Base Unit

Kinetic Energy: 75 Joule --> 75 Joule No Conversion Required
Mass of Moving Electron: 0.07 Dalton --> 1.16237100006849E-28 Kilogram (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

λ = [hP]/sqrt(2*KE*m) --> [hP]/sqrt(2*75*1.16237100006849E-28)

Evaluating ... ...

λ = 5.01808495537865E-21

STEP 3: Convert Result to Output's Unit

5.01808495537865E-21 Meter -->5.01808495537865E-12 Nanometer (Check conversion here)

FINAL ANSWER

5.01808495537865E-12 ≈ 5E-12 Nanometer <-- Wavelength

(Calculation completed in 00.004 seconds)

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De Broglie Wavelength of Charged Particle given Potential

LaTeX Go Wavelength given P = [hP]/(2*[Charge-e]*Electric Potential Difference*Mass of Moving Electron)

Relation between de Broglie Wavelength and Kinetic Energy of Particle

LaTeX Go Wavelength = [hP]/sqrt(2*Kinetic Energy*Mass of Moving Electron)

Number of Revolutions of Electron

LaTeX Go Revolutions per Sec = Velocity of Electron/(2*pi*Radius of Orbit)

De Broglie Wavelength of Particle in Circular Orbit

LaTeX Go Wavelength given CO = (2*pi*Radius of Orbit)/Quantum Number

Relation between de Broglie Wavelength and Kinetic Energy of Particle Formula

LaTeX Go

Wavelength = [hP]/sqrt(2*Kinetic Energy*Mass of Moving Electron)
λ = [hP]/sqrt(2*KE*m)

What is de Broglie's hypothesis of matter waves?

Louis de Broglie proposed a new speculative hypothesis that electrons and other particles of matter can behave like waves. According to de Broglie’s hypothesis, massless photons, as well as massive particles, must satisfy one common set of relations that connect the energy E with the frequency f, and the linear momentum p with the de- Broglie wavelength.

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

Relation between de Broglie Wavelength and Kinetic Energy of Particle calculator uses Wavelength = [hP]/sqrt(2*Kinetic Energy*Mass of Moving Electron) to calculate 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 calculate Relation between de Broglie Wavelength and Kinetic Energy of Particle using this online calculator? To use this online calculator 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. Here is how the Relation between de Broglie Wavelength and Kinetic Energy of Particle calculation can be explained with given input values -> 0.005018 = [hP]/sqrt(2*75*1.16237100006849E-28).

FAQ

What is Relation between de Broglie Wavelength and Kinetic Energy of Particle?

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 and is represented as λ = [hP]/sqrt(2*KE*m) or Wavelength = [hP]/sqrt(2*Kinetic Energy*Mass of Moving Electron). 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 & Mass of Moving Electron is the mass of an electron, moving with some velocity.

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

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 is calculated using Wavelength = [hP]/sqrt(2*Kinetic Energy*Mass of Moving Electron). To calculate Relation between de Broglie Wavelength and Kinetic Energy of Particle, you need Kinetic Energy (KE) & Mass of Moving Electron (m). With our tool, you need to enter the respective value for Kinetic Energy & Mass of Moving Electron 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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