Relation between de Broglie Wavelength and Kinetic Energy of Particle Calculator

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De Broglie Hypothesis

Bohr's Atomic Model

Compton Effect

Distance of Closest Approach

Heisenberg's Uncertainty Principle

Important Formulas on Bohr's Atomic Model

Photo Electric Effect

Planck Quantum Theory

Rutherford Scattering

Schrodinger Wave Equation

Sommerfeld Model

Structure of Atom

✖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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Formula

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Relation between de Broglie Wavelength and Kinetic Energy of Particle

Formula

`"λ" = "[hP]"/sqrt(2*"KE"*"m")`

Example

`"5E^-12nm"="[hP]"/sqrt(2*"75J"*"0.07Dalton")`

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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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< 16 De Broglie Hypothesis Calculators

De Broglie Wavelength given Total Energy

Go Wavelength given TE = [hP]/(sqrt(2*Mass in Dalton*(Total Energy Radiated-Potential Energy)))

De Broglie Wavelength of Charged Particle given Potential

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

Wavelength of Thermal Neutron

Go Wavelength DB = [hP]/sqrt(2*[Mass-n]*[BoltZ]*Temperature)

Relation between de Broglie Wavelength and Kinetic Energy of Particle

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

Potential given de Broglie Wavelength

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

Number of Revolutions of Electron

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

De Broglie Wavelength of Particle in Circular Orbit

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

De Broglie's Wavelength given Velocity of Particle

Go Wavelength DB = [hP]/(Mass in Dalton*Velocity)

De Brogile Wavelength

Go Wavelength DB = [hP]/(Mass in Dalton*Velocity)

Energy of Particle given de Broglie Wavelength

Go Energy given DB = ([hP]*[c])/Wavelength

Kinetic Energy given de Broglie Wavelength

Go Energy of AO = ([hP]^2)/(2*Mass of Moving Electron*(Wavelength^2))

Mass of Particle given de Broglie Wavelength and Kinetic Energy

Go Mass of Moving E = ([hP]^2)/(((Wavelength)^2)*2*Kinetic Energy)

De Broglie Wavelength for Electron given Potential

Go Wavelength given PE = 12.27/sqrt(Electric Potential Difference)

Energy of Particle

Go Energy of AO = [hP]*Frequency

Potential given de Broglie Wavelength of Electron

Go Electric Potential Difference = (12.27^2)/(Wavelength^2)

Einstein's Mass Energy Relation

Go Energy given DB = Mass in Dalton*([c]^2)

Relation between de Broglie Wavelength and Kinetic Energy of Particle Formula

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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