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Kinetic Energy given de Broglie Wavelength Calculator

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✖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.ⓘ Wavelength [λ]			+10% -10%

✖Energy of AO is the amount of work done.ⓘ Kinetic Energy given de Broglie Wavelength [E_AO]

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Kinetic Energy given de Broglie Wavelength Solution

STEP 0: Pre-Calculation Summary

Formula Used

Energy of AO = ([hP]^2)/(2*Mass of Moving Electron*(Wavelength^2))
E_AO = ([hP]^2)/(2*m*(λ^2))
This formula uses 1 Constants, 3 Variables

Constants Used

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

Variables Used

Energy of AO - (Measured in Joule) - Energy of AO is the amount of work done.
Mass of Moving Electron - (Measured in Kilogram) - Mass of Moving Electron 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.

STEP 1: Convert Input(s) to Base Unit

Mass of Moving Electron: 0.07 Dalton --> 1.16237100006849E-28 Kilogram (Check conversion here)
Wavelength: 2.1 Nanometer --> 2.1E-09 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E_AO = ([hP]^2)/(2*m*(λ^2)) --> ([hP]^2)/(2*1.16237100006849E-28*(2.1E-09^2))

Evaluating ... ...

E_AO = 4.28251303050978E-22

STEP 3: Convert Result to Output's Unit

4.28251303050978E-22 Joule --> No Conversion Required

FINAL ANSWER

4.28251303050978E-22 ≈ 4.3E-22 Joule <-- Energy of AO

(Calculation completed in 00.007 seconds)

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Kinetic Energy given de Broglie Wavelength Formula

LaTeX Go

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

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 Kinetic Energy given de Broglie Wavelength?

Kinetic Energy given de Broglie Wavelength calculator uses Energy of AO = ([hP]^2)/(2*Mass of Moving Electron*(Wavelength^2)) to calculate the Energy of AO, The Kinetic energy given de Broglie wavelength formula is associated with a particle/electron and is related to its mass, m and de Broglie wavelength through the Planck constant, h. Energy of AO is denoted by E_AO symbol.

How to calculate Kinetic Energy given de Broglie Wavelength using this online calculator? To use this online calculator for Kinetic Energy given de Broglie Wavelength, enter Mass of Moving Electron (m) & Wavelength (λ) and hit the calculate button. Here is how the Kinetic Energy given de Broglie Wavelength calculation can be explained with given input values -> 4.3E-22 = ([hP]^2)/(2*1.16237100006849E-28*(2.1E-09^2)).

FAQ

What is Kinetic Energy given de Broglie Wavelength?

The Kinetic energy given de Broglie wavelength formula is associated with a particle/electron and is related to its mass, m and de Broglie wavelength through the Planck constant, h and is represented as E_AO = ([hP]^2)/(2*m*(λ^2)) or Energy of AO = ([hP]^2)/(2*Mass of Moving Electron*(Wavelength^2)). Mass of Moving Electron is the mass of an electron, moving with some velocity & Wavelength is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space or along a wire.

How to calculate Kinetic Energy given de Broglie Wavelength?

The Kinetic energy given de Broglie wavelength formula is associated with a particle/electron and is related to its mass, m and de Broglie wavelength through the Planck constant, h is calculated using Energy of AO = ([hP]^2)/(2*Mass of Moving Electron*(Wavelength^2)). To calculate Kinetic Energy given de Broglie Wavelength, you need Mass of Moving Electron (m) & Wavelength (λ). With our tool, you need to enter the respective value for Mass of Moving Electron & Wavelength and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Energy of AO?

In this formula, Energy of AO uses Mass of Moving Electron & Wavelength. We can use 1 other way(s) to calculate the same, which is/are as follows -

Energy of AO = [hP]*Frequency

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