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Mass of Particle given de Broglie Wavelength and Kinetic Energy Calculator

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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.ⓘ Wavelength [λ]			+10% -10%
✖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 E is the mass of an electron, moving with some velocity.ⓘ Mass of Particle given de Broglie Wavelength and Kinetic Energy [m_e]

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Mass of Particle given de Broglie Wavelength and Kinetic Energy Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mass of Moving E = ([hP]^2)/(((Wavelength)^2)*2*Kinetic Energy)
m_e = ([hP]^2)/(((λ)^2)*2*KE)
This formula uses 1 Constants, 3 Variables

Constants Used

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

Variables Used

Mass of Moving E - (Measured in Kilogram) - Mass of Moving E is the mass of an electron, moving with some velocity.
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.

STEP 1: Convert Input(s) to Base Unit

Wavelength: 2.1 Nanometer --> 2.1E-09 Meter (Check conversion here)
Kinetic Energy: 75 Joule --> 75 Joule No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

m_e = ([hP]^2)/(((λ)^2)*2*KE) --> ([hP]^2)/(((2.1E-09)^2)*2*75)

Evaluating ... ...

m_e = 6.63715860544E-52

STEP 3: Convert Result to Output's Unit

6.63715860544E-52 Kilogram -->3.99701216180914E-25 Dalton (Check conversion here)

FINAL ANSWER

3.99701216180914E-25 ≈ 4E-25 Dalton <-- Mass of Moving E

(Calculation completed in 00.004 seconds)

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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

Mass of Particle given de Broglie Wavelength and Kinetic Energy Formula

LaTeX Go

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

What is De Broglie Hypothesis?

The De Broglie hypothesis proposes that all matter exhibits wave-like properties and relates the observed wavelength of matter to its momentum. After Albert Einstein's photon theory became accepted, the question became whether this was true only for light or whether material objects also exhibited wave-like behavior. Here is how the De Broglie hypothesis was developed.

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

Mass of Particle given de Broglie Wavelength and Kinetic Energy calculator uses Mass of Moving E = ([hP]^2)/(((Wavelength)^2)*2*Kinetic Energy) to calculate 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 calculate Mass of Particle given de Broglie Wavelength and Kinetic Energy using this online calculator? To use this online calculator for Mass of Particle given de Broglie Wavelength and Kinetic Energy, enter Wavelength (λ) & Kinetic Energy (KE) and hit the calculate button. Here is how the Mass of Particle given de Broglie Wavelength and Kinetic Energy calculation can be explained with given input values -> 240.707 = ([hP]^2)/(((2.1E-09)^2)*2*75).

FAQ

What is Mass of Particle given de Broglie Wavelength and Kinetic Energy?

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 and is represented as m_e = ([hP]^2)/(((λ)^2)*2*KE) or Mass of Moving E = ([hP]^2)/(((Wavelength)^2)*2*Kinetic Energy). 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 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.

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

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