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))
EAO = ([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
EAO = ([hP]^2)/(2*m*(λ^2)) --> ([hP]^2)/(2*1.16237100006849E-28*(2.1E-09^2))
Evaluating ... ...
EAO = 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 00.004 seconds)

Credits

Created by Akshada Kulkarni
National Institute of Information Technology (NIIT), Neemrana
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Indian Institute of Technology (IIT), Kanpur
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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)

Kinetic Energy given de Broglie Wavelength Formula

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