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National Institute of Information Technology (NIIT), Neemrana
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Energy of particle when de Broglie wavelength is given Solution

STEP 0: Pre-Calculation Summary
Formula Used
energy = ([hP]*[c])/Wavelength
e = ([hP]*[c])/λ
This formula uses 2 Constants, 1 Variables
Constants Used
[c] - Light speed in vacuum Value Taken As 299792458.0 Meter/Second
[hP] - Planck constant Value Taken As 6.626070040E-34 kilogram Meter² / Second
Variables Used
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
Wavelength: 2 Nanometer --> 2E-09 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
e = ([hP]*[c])/λ --> ([hP]*[c])/2E-09
Evaluating ... ...
e = 9.93222912085879E-17
STEP 3: Convert Result to Output's Unit
9.93222912085879E-17 Joule --> No Conversion Required
FINAL ANSWER
9.93222912085879E-17 Joule <-- Energy
(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

Energy of particle when de Broglie wavelength is given Formula

energy = ([hP]*[c])/Wavelength
e = ([hP]*[c])/λ

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 Energy of particle when de Broglie wavelength is given?

Energy of particle when de Broglie wavelength is given calculator uses energy = ([hP]*[c])/Wavelength to calculate the Energy, The Energy of particle when de Broglie wavelength is given is defined as is the energy consumed by the particle to move from one point to another. Energy and is denoted by e symbol.

How to calculate Energy of particle when de Broglie wavelength is given using this online calculator? To use this online calculator for Energy of particle when de Broglie wavelength is given, enter Wavelength (λ) and hit the calculate button. Here is how the Energy of particle when de Broglie wavelength is given calculation can be explained with given input values -> 9.932E-26 = ([hP]*[c])/2.

FAQ

What is Energy of particle when de Broglie wavelength is given?
The Energy of particle when de Broglie wavelength is given is defined as is the energy consumed by the particle to move from one point to another and is represented as e = ([hP]*[c])/λ or energy = ([hP]*[c])/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.
How to calculate Energy of particle when de Broglie wavelength is given?
The Energy of particle when de Broglie wavelength is given is defined as is the energy consumed by the particle to move from one point to another is calculated using energy = ([hP]*[c])/Wavelength. To calculate Energy of particle when de Broglie wavelength is given, you need Wavelength (λ). With our tool, you need to enter the respective value for 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?
In this formula, Energy uses 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 Energy of particle when de Broglie wavelength is given calculator used?
Among many, Energy of particle when de Broglie wavelength is given calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
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