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Potential given de Broglie wavelength Solution

STEP 0: Pre-Calculation Summary
Formula Used
electric_potential_difference = ([hP]^2)/(2*[Charge-e]*Mass of moving electron*(Wavelength^2))
V = ([hP]^2)/(2*[Charge-e]*m*(λ^2))
This formula uses 3 Constants, 1 Functions, 2 Variables
Constants Used
e - Napier's constant Value Taken As 2.71828182845904523536028747135266249
[hP] - Planck constant Value Taken As 6.626070040E-34 kilogram Meter² / Second
[Charge-e] - Charge of electron Value Taken As 1.60217662E-19
Functions Used
C - Binomial coefficient function, C(n,k)
Variables Used
Mass of moving electron - Mass of moving electron is the mass of an electron, moving with some velocity. (Measured in Kilogram)
Wavelength - Wavelength is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space or along a wire. (Measured in Nanometer)
STEP 1: Convert Input(s) to Base Unit
Mass of moving electron: 100 Kilogram --> 100 Kilogram No Conversion Required
Wavelength: 2 Nanometer --> 2E-09 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V = ([hP]^2)/(2*[Charge-e]*m*(λ^2)) --> ([hP]^2)/(2*[Charge-e]*100*(2E-09^2))
Evaluating ... ...
V = 3.425402950814E-33
STEP 3: Convert Result to Output's Unit
3.425402950814E-33 Volt --> No Conversion Required
FINAL ANSWER
3.425402950814E-33 Volt <-- Electric Potential Difference
(Calculation completed in 00.000 seconds)

10+ De Broglie hypothesis Calculators

De Broglie wavelength of charged particle given potential
wavelength = [hP]/(2*[Charge-e]*Electric Potential Difference*Mass of moving electron) Go
Relation between de Broglie wavelength and kinetic energy of particle
wavelength = [hP]/sqrt(2*Kinetic Energy*Mass of moving electron) Go
Potential given de Broglie wavelength
electric_potential_difference = ([hP]^2)/(2*[Charge-e]*Mass of moving electron*(Wavelength^2)) Go
Number of revolutions of an electron
revolutions_per_second = Velocity of electron/(2*pi*Radius of orbit) Go
De Broglie wavelength of particle in circular orbit
wavelength = (2*pi*Radius of orbit)/Quantum Number Go
Kinetic energy given de Broglie wavelength
energy = ([hP]^2)/(2*Mass of moving electron*(Wavelength^2)) Go
De Broglie wavelength for an Electron given Potential
wavelength = 12.27/sqrt(Electric Potential Difference) Go
Potential given de Broglie wavelength of electron
electric_potential_difference = (12.27^2)/(Wavelength^2) Go
Energy of particle
energy = [hP]*Frequency Go
Einstein's mass energy relation
energy = Mass*([c]^2) Go

Potential given de Broglie wavelength Formula

electric_potential_difference = ([hP]^2)/(2*[Charge-e]*Mass of moving electron*(Wavelength^2))
V = ([hP]^2)/(2*[Charge-e]*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 Potential given de Broglie wavelength?

Potential given de Broglie wavelength calculator uses electric_potential_difference = ([hP]^2)/(2*[Charge-e]*Mass of moving electron*(Wavelength^2)) to calculate the Electric Potential Difference, The Potential 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. Electric Potential Difference and is denoted by V symbol.

How to calculate Potential given de Broglie wavelength using this online calculator? To use this online calculator for Potential given de Broglie wavelength, enter Mass of moving electron (m) and Wavelength (λ) and hit the calculate button. Here is how the Potential given de Broglie wavelength calculation can be explained with given input values -> 3.425E-51 = ([hP]^2)/(2*[Charge-e]*100*(2^2)).

FAQ

What is Potential given de Broglie wavelength?
The Potential 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 V = ([hP]^2)/(2*[Charge-e]*m*(λ^2)) or electric_potential_difference = ([hP]^2)/(2*[Charge-e]*Mass of moving electron*(Wavelength^2)). Mass of moving electron is the mass of an electron, moving with some velocity and 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 Potential given de Broglie wavelength?
The Potential 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 electric_potential_difference = ([hP]^2)/(2*[Charge-e]*Mass of moving electron*(Wavelength^2)). To calculate Potential given de Broglie wavelength, you need Mass of moving electron (m) and Wavelength (λ). With our tool, you need to enter the respective value for Mass of moving electron and 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 Electric Potential Difference?
In this formula, Electric Potential Difference uses Mass of moving electron and Wavelength. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • wavelength = (2*pi*Radius of orbit)/Quantum Number
  • revolutions_per_second = Velocity of electron/(2*pi*Radius of orbit)
  • wavelength = [hP]/sqrt(2*Kinetic Energy*Mass of moving electron)
  • wavelength = [hP]/(2*[Charge-e]*Electric Potential Difference*Mass of moving electron)
  • wavelength = 12.27/sqrt(Electric Potential Difference)
  • energy = ([hP]^2)/(2*Mass of moving electron*(Wavelength^2))
  • electric_potential_difference = ([hP]^2)/(2*[Charge-e]*Mass of moving electron*(Wavelength^2))
  • electric_potential_difference = (12.27^2)/(Wavelength^2)
  • energy = Mass*([c]^2)
  • energy = [hP]*Frequency
Where is the Potential given de Broglie wavelength calculator used?
Among many, Potential given de Broglie wavelength calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
{FormulaExamplesList}
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