De Broglie Wavelength of Charged Particle given Potential Solution

STEP 0: Pre-Calculation Summary
Formula Used
Wavelength given P = [hP]/(2*[Charge-e]*Electric Potential Difference*Mass of Moving Electron)
λP = [hP]/(2*[Charge-e]*V*m)
This formula uses 2 Constants, 3 Variables
Constants Used
[Charge-e] - Charge of electron Value Taken As 1.60217662E-19
[hP] - Planck constant Value Taken As 6.626070040E-34
Variables Used
Wavelength given P - (Measured in Meter) - Wavelength given P is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space or along a wire.
Electric Potential Difference - (Measured in Volt) - Electric potential difference, also known as voltage, is the external work needed to bring a charge from one location to another location in an electric field.
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
Electric Potential Difference: 18 Volt --> 18 Volt 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
λP = [hP]/(2*[Charge-e]*V*m) --> [hP]/(2*[Charge-e]*18*1.16237100006849E-28)
Evaluating ... ...
λP = 988321777967.788
STEP 3: Convert Result to Output's Unit
988321777967.788 Meter -->9.88321777967788E+20 Nanometer (Check conversion here)
FINAL ANSWER
9.88321777967788E+20 9.9E+20 Nanometer <-- Wavelength given P
(Calculation completed in 00.020 seconds)

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National Institute of Information Technology (NIIT), Neemrana
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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)

De Broglie Wavelength of Charged Particle given Potential Formula

Wavelength given P = [hP]/(2*[Charge-e]*Electric Potential Difference*Mass of Moving Electron)
λP = [hP]/(2*[Charge-e]*V*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 De Broglie Wavelength of Charged Particle given Potential?

De Broglie Wavelength of Charged Particle given Potential calculator uses Wavelength given P = [hP]/(2*[Charge-e]*Electric Potential Difference*Mass of Moving Electron) to calculate the Wavelength given P, The De Broglie wavelength of charged particle given potential is associated with a particle/electron and is related to its mass, m and potential difference, V through the Planck constant, h. Wavelength given P is denoted by λP symbol.

How to calculate De Broglie Wavelength of Charged Particle given Potential using this online calculator? To use this online calculator for De Broglie Wavelength of Charged Particle given Potential, enter Electric Potential Difference (V) & Mass of Moving Electron (m) and hit the calculate button. Here is how the De Broglie Wavelength of Charged Particle given Potential calculation can be explained with given input values -> 9.9E+29 = [hP]/(2*[Charge-e]*18*1.16237100006849E-28).

FAQ

What is De Broglie Wavelength of Charged Particle given Potential?
The De Broglie wavelength of charged particle given potential is associated with a particle/electron and is related to its mass, m and potential difference, V through the Planck constant, h and is represented as λP = [hP]/(2*[Charge-e]*V*m) or Wavelength given P = [hP]/(2*[Charge-e]*Electric Potential Difference*Mass of Moving Electron). Electric potential difference, also known as voltage, is the external work needed to bring a charge from one location to another location in an electric field & Mass of Moving Electron is the mass of an electron, moving with some velocity.
How to calculate De Broglie Wavelength of Charged Particle given Potential?
The De Broglie wavelength of charged particle given potential is associated with a particle/electron and is related to its mass, m and potential difference, V through the Planck constant, h is calculated using Wavelength given P = [hP]/(2*[Charge-e]*Electric Potential Difference*Mass of Moving Electron). To calculate De Broglie Wavelength of Charged Particle given Potential, you need Electric Potential Difference (V) & Mass of Moving Electron (m). With our tool, you need to enter the respective value for Electric Potential Difference & 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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