Wave Number of Moving Particle Solution

STEP 0: Pre-Calculation Summary
Formula Used
Wave Number = Energy of Atom/([hP]*[c])
k = EeV/([hP]*[c])
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
Wave Number - Wave Number is the spatial frequency of a wave, measured in cycles per unit distance or radians per unit distance.
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
k = EeV/([hP]*[c]) --> 45/([hP]*[c])
Evaluating ... ...
k = 2.26535249300154E+26
STEP 3: Convert Result to Output's Unit
2.26535249300154E+26 --> No Conversion Required
FINAL ANSWER
2.26535249300154E+26 2.3E+26 <-- Wave Number
(Calculation completed in 00.004 seconds)

Credits

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

Wave Number of Moving Particle Formula

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

What is Bohr's theory?

Bohr's Theory 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: the theory was extended to other atoms.

How to Calculate Wave Number of Moving Particle?

Wave Number of Moving Particle calculator uses Wave Number = Energy of Atom/([hP]*[c]) to calculate the Wave Number, The Wave Number of Moving Particle formula is defined as the spatial frequency of a wave, measured in cycles per unit distance or radians per unit distance. Wave Number is denoted by k symbol.

How to calculate Wave Number of Moving Particle using this online calculator? To use this online calculator for Wave Number of Moving Particle, enter Energy of Atom (EeV) and hit the calculate button. Here is how the Wave Number of Moving Particle calculation can be explained with given input values -> 2.3E+26 = 45/([hP]*[c]).

FAQ

What is Wave Number of Moving Particle?
The Wave Number of Moving Particle formula is defined as the spatial frequency of a wave, measured in cycles per unit distance or radians per unit distance and is represented as k = EeV/([hP]*[c]) or Wave Number = Energy of Atom/([hP]*[c]). Energy of Atom is the energy consumed by the body when measured in electron volts.
How to calculate Wave Number of Moving Particle?
The Wave Number of Moving Particle formula is defined as the spatial frequency of a wave, measured in cycles per unit distance or radians per unit distance is calculated using Wave Number = Energy of Atom/([hP]*[c]). To calculate Wave Number of Moving Particle, you need Energy of Atom (EeV). 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 Wave Number?
In this formula, Wave Number uses Energy of Atom. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Wave Number = 1/Wavelength of Light Wave
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