De Broglie Wavelength for Electron given Potential 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

✖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.ⓘ Electric Potential Difference [V]

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✖Wavelength given PE is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space or along a wire.ⓘ De Broglie Wavelength for Electron given Potential [λ_PE]

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Formula

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De Broglie Wavelength for Electron given Potential

Formula

`"λ"_{"PE"} = 12.27/sqrt("V")`

Example

`"2.9E^9nm"=12.27/sqrt("18V")`

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De Broglie Wavelength for Electron given Potential Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wavelength given PE = 12.27/sqrt(Electric Potential Difference)
λ_PE = 12.27/sqrt(V)
This formula uses 1 Functions, 2 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Wavelength given PE - (Measured in Meter) - Wavelength given PE 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.

STEP 1: Convert Input(s) to Base Unit

Electric Potential Difference: 18 Volt --> 18 Volt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

λ_PE = 12.27/sqrt(V) --> 12.27/sqrt(18)

Evaluating ... ...

λ_PE = 2.89206673505298

STEP 3: Convert Result to Output's Unit

2.89206673505298 Meter -->2892066735.05298 Nanometer (Check conversion here)

FINAL ANSWER

2892066735.05298 ≈ 2.9E+9 Nanometer <-- Wavelength given PE

(Calculation completed in 00.004 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)

De Broglie Wavelength for Electron given Potential Formula

Wavelength given PE = 12.27/sqrt(Electric Potential Difference)
λ_PE = 12.27/sqrt(V)

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 for Electron given Potential?

De Broglie Wavelength for Electron given Potential calculator uses Wavelength given PE = 12.27/sqrt(Electric Potential Difference) to calculate the Wavelength given PE, The De Broglie wavelength for Electron given Potential is associated with a particle/electron and is related to its potential difference, V with further calculated value of constants. Wavelength given PE is denoted by λ_PE symbol.

How to calculate De Broglie Wavelength for Electron given Potential using this online calculator? To use this online calculator for De Broglie Wavelength for Electron given Potential, enter Electric Potential Difference (V) and hit the calculate button. Here is how the De Broglie Wavelength for Electron given Potential calculation can be explained with given input values -> 2.9E+18 = 12.27/sqrt(18).

FAQ

What is De Broglie Wavelength for Electron given Potential?

The De Broglie wavelength for Electron given Potential is associated with a particle/electron and is related to its potential difference, V with further calculated value of constants and is represented as λ_PE = 12.27/sqrt(V) or Wavelength given PE = 12.27/sqrt(Electric Potential Difference). 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.

How to calculate De Broglie Wavelength for Electron given Potential?

The De Broglie wavelength for Electron given Potential is associated with a particle/electron and is related to its potential difference, V with further calculated value of constants is calculated using Wavelength given PE = 12.27/sqrt(Electric Potential Difference). To calculate De Broglie Wavelength for Electron given Potential, you need Electric Potential Difference (V). With our tool, you need to enter the respective value for Electric Potential Difference 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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