Wavelength of Moving Particle Calculator

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Structure of Atom

Bohr's Atomic Model

Compton Effect

De Broglie Hypothesis

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

✖Energy of Atom is the energy consumed by the body when measured in electron volts.ⓘ Energy of Atom [E_eV]

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✖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.ⓘ Wavelength of Moving Particle [λ_P]

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Formula

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Wavelength of Moving Particle

Formula

`"λ"_{"P"} = ("[hP]"*"[c]")/"E"_{"eV"}`

Example

`"4.4E^-18nm"=("[hP]"*"[c]")/"45J"`

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Wavelength of Moving Particle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wavelength given P = ([hP]*[c])/Energy of Atom
λ_P = ([hP]*[c])/E_eV
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

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.
Energy of Atom - (Measured in Joule) - Energy of Atom is the energy consumed by the body when measured in electron volts.

STEP 1: Convert Input(s) to Base Unit

Energy of Atom: 45 Joule --> 45 Joule No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

λ_P = ([hP]*[c])/E_eV --> ([hP]*[c])/45

Evaluating ... ...

λ_P = 4.41432405371502E-27

STEP 3: Convert Result to Output's Unit

4.41432405371502E-27 Meter -->4.41432405371502E-18 Nanometer (Check conversion here)

FINAL ANSWER

4.41432405371502E-18 ≈ 4.4E-18 Nanometer <-- Wavelength given P

(Calculation completed in 00.020 seconds)

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Created by Anirudh Singh

National Institute of Technology (NIT), Jamshedpur

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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< 25 Structure of Atom Calculators

Bragg equation for Wavelength of Atoms in Crystal Lattice

Go Wavelength of X-ray = 2*Interplanar Spacing of Crystal*(sin(Bragg's Angle of Crystal))/Order of Diffraction

Bragg Equation for Distance between Planes of Atoms in Crystal Lattice

Go Interplanar Spacing in nm = (Order of Diffraction*Wavelength of X-ray)/(2*sin(Bragg's Angle of Crystal))

Bragg Equation for Order of Diffraction of Atoms in Crystal Lattice

Go Order of Diffraction = (2*Interplanar Spacing in nm*sin(Bragg's Angle of Crystal))/Wavelength of X-ray

Mass of Moving Electron

Go Mass of Moving Electron = Rest Mass of Electron/sqrt(1-((Velocity of Electron/[c])^2))

Electrostatic Force between Nucleus and Electron

Go Force between n and e = ([Coulomb]*Atomic Number*([Charge-e]^2))/(Radius of Orbit^2)

Energy of Stationary States

Go Energy of Stationary States = [Rydberg]*((Atomic Number^2)/(Quantum Number^2))

Radii of Stationary States

Go Radii of Stationary States = [Bohr-r]*((Quantum Number^2)/Atomic Number)

Radius of Orbit given Time Period of Electron

Go Radius of Orbit = (Time Period of Electron*Velocity of Electron)/(2*pi)

Time Period of Revolution of Electron

Go Time Period of Electron = (2*pi*Radius of Orbit)/Velocity of Electron

Orbital Frequency given Velocity of Electron

Go Frequency using Energy = Velocity of Electron/(2*pi*Radius of Orbit)

Total Energy in Electron Volts

Go Kinetic Energy of Photon = (6.8/(6.241506363094*10^(18)))*(Atomic Number)^2/(Quantum Number)^2

Energy in Electron Volts

Go Kinetic Energy of Photon = (6.8/(6.241506363094*10^(18)))*(Atomic Number)^2/(Quantum Number)^2

Kinetic Energy in Electron Volts

Go Energy of an Atom = -(13.6/(6.241506363094*10^(18)))*(Atomic Number)^2/(Quantum Number)^2

Radius of Orbit given Potential Energy of Electron

Go Radius of Orbit = (-(Atomic Number*([Charge-e]^2))/Potential Energy of Electron)

Energy of Electron

Go Kinetic Energy of Photon = 1.085*10^-18*(Atomic Number)^2/(Quantum Number)^2

Wave Number of Moving Particle

Go Wave Number = Energy of Atom/([hP]*[c])

Kinetic Energy of Electron

Go Energy of Atom = -2.178*10^(-18)*(Atomic Number)^2/(Quantum Number)^2

Radius of Orbit given Total Energy of Electron

Go Radius of Orbit = (-(Atomic Number*([Charge-e]^2))/(2*Total Energy))

Radius of Orbit given Kinetic Energy of Electron

Go Radius of Orbit = (Atomic Number*([Charge-e]^2))/(2*Kinetic Energy)

Angular Velocity of Electron

Go Angular Velocity Electron = Velocity of Electron/Radius of Orbit

Mass Number

Go Mass Number = Number of Protons+Number of Neutrons

Electric Charge

Go Electric Charge = Number of Electron*[Charge-e]

Number of Neutrons

Go Number of Neutrons = Mass Number-Atomic Number

Specific Charge

Go Specific Charge = Charge/[Mass-e]

Wave Number of Electromagnetic Wave

Go Wave Number = 1/Wavelength of Light Wave

Wavelength of Moving Particle Formula

Wavelength given P = ([hP]*[c])/Energy of Atom
λ_P = ([hP]*[c])/E_eV

What is Bohr's theory?

Bohr's Theory is a theory of atomic structure in which the hydrogen atom (Bohr atom ) is assumed to consist of a proton as nucleus, with a single electron moving in distinct circular orbits around it, each orbit corresponding to a specific quantized energy state.

How to Calculate Wavelength of Moving Particle?

Wavelength of Moving Particle calculator uses Wavelength given P = ([hP]*[c])/Energy of Atom to calculate the Wavelength given P, The Wavelength of Moving Particle formula is defined as is the distance covered by the wave in one second. Wavelength given P is denoted by λ_P symbol.

How to calculate Wavelength of Moving Particle using this online calculator? To use this online calculator for Wavelength of Moving Particle, enter Energy of Atom (E_eV) and hit the calculate button. Here is how the Wavelength of Moving Particle calculation can be explained with given input values -> 4.4E-9 = ([hP]*[c])/45.

FAQ

What is Wavelength of Moving Particle?

The Wavelength of Moving Particle formula is defined as is the distance covered by the wave in one second and is represented as λ_P = ([hP]*[c])/E_eV or Wavelength given P = ([hP]*[c])/Energy of Atom. Energy of Atom is the energy consumed by the body when measured in electron volts.

How to calculate Wavelength of Moving Particle?

The Wavelength of Moving Particle formula is defined as is the distance covered by the wave in one second is calculated using Wavelength given P = ([hP]*[c])/Energy of Atom. To calculate Wavelength of Moving Particle, you need Energy of Atom (E_eV). With our tool, you need to enter the respective value for Energy of Atom 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 Wavelength given P?

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

Wavelength given P = [hP]/sqrt(2*Mass in Dalton*Energy of Atom)

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