Energy of Particle given de Broglie Wavelength Calculator

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De Broglie Hypothesis

Bohr's Atomic Model

Compton Effect

Distance of Closest Approach

Heisenberg's Uncertainty Principle

Important Formulas on Bohr's Atomic Model

Photo Electric Effect

Planck Quantum Theory

Rutherford Scattering

Schrodinger Wave Equation

Sommerfeld Model

Structure of Atom

✖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]

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✖Energy given DB is the amount of work done.ⓘ Energy of Particle given de Broglie Wavelength [E_DB]

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Formula

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Energy of Particle given de Broglie Wavelength

Formula

`"E"_{"DB"} = ("[hP]"*"[c]")/"λ"`

Example

`"9.5E^-17J"=("[hP]"*"[c]")/"2.1nm"`

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Energy of Particle given de Broglie Wavelength Solution

STEP 0: Pre-Calculation Summary

Formula Used

Energy given DB = ([hP]*[c])/Wavelength
E_DB = ([hP]*[c])/λ
This formula uses 2 Constants, 2 Variables

Constants Used

[hP] - Planck constant Value Taken As 6.626070040E-34
[c] - Light speed in vacuum Value Taken As 299792458.0

Variables Used

Energy given DB - (Measured in Joule) - Energy given DB is the amount of work done.
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

Wavelength: 2.1 Nanometer --> 2.1E-09 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E_DB = ([hP]*[c])/λ --> ([hP]*[c])/2.1E-09

Evaluating ... ...

E_DB = 9.45926582938932E-17

STEP 3: Convert Result to Output's Unit

9.45926582938932E-17 Joule --> No Conversion Required

FINAL ANSWER

9.45926582938932E-17 ≈ 9.5E-17 Joule <-- Energy given DB

(Calculation completed in 00.020 seconds)

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Created by Akshada Kulkarni

National Institute of Information Technology (NIIT), Neemrana

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Verified by Suman Ray Pramanik

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)

Energy of Particle given de Broglie Wavelength Formula

Energy given DB = ([hP]*[c])/Wavelength
E_DB = ([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 given de Broglie Wavelength?

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

How to calculate Energy of Particle given de Broglie Wavelength using this online calculator? To use this online calculator for Energy of Particle given de Broglie Wavelength, enter Wavelength (λ) and hit the calculate button. Here is how the Energy of Particle given de Broglie Wavelength calculation can be explained with given input values -> 9.5E-17 = ([hP]*[c])/2.1E-09.

FAQ

What is Energy of Particle given de Broglie Wavelength?

The Energy of particle given de Broglie wavelength is defined as is the energy consumed by the particle to move from one point to another and is represented as E_DB = ([hP]*[c])/λ or Energy given DB = ([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 given de Broglie Wavelength?

The Energy of particle given de Broglie wavelength is defined as is the energy consumed by the particle to move from one point to another is calculated using Energy given DB = ([hP]*[c])/Wavelength. To calculate Energy of Particle given de Broglie Wavelength, 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 given DB?

In this formula, Energy given DB uses Wavelength. We can use 1 other way(s) to calculate the same, which is/are as follows -

Energy given DB = Mass in Dalton*([c]^2)

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