Orbital Frequency given Velocity of Electron Solution

STEP 0: Pre-Calculation Summary
Formula Used
Frequency using Energy = Velocity of Electron/(2*pi*Radius of Orbit)
fE = ve/(2*pi*rorbit)
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Frequency using Energy - (Measured in Hertz) - Frequency using Energy refers to the number of occurrences of a periodic event per time and is measured in hertz.
Velocity of Electron - (Measured in Meter per Second) - The Velocity of Electron is the speed at which the electron moves in a particular orbit.
Radius of Orbit - (Measured in Meter) - Radius of Orbit is the distance from the center of orbit of an electron to a point on its surface.
STEP 1: Convert Input(s) to Base Unit
Velocity of Electron: 36 Meter per Second --> 36 Meter per Second No Conversion Required
Radius of Orbit: 100 Nanometer --> 1E-07 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
fE = ve/(2*pi*rorbit) --> 36/(2*pi*1E-07)
Evaluating ... ...
fE = 57295779.5130823
STEP 3: Convert Result to Output's Unit
57295779.5130823 Hertz --> No Conversion Required
FINAL ANSWER
57295779.5130823 5.7E+7 Hertz <-- Frequency using Energy
(Calculation completed in 00.004 seconds)

Credits

Created by Akshada Kulkarni
National Institute of Information Technology (NIIT), Neemrana
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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

Orbital Frequency given Velocity of Electron Formula

Frequency using Energy = Velocity of Electron/(2*pi*Radius of Orbit)
fE = ve/(2*pi*rorbit)

What is orbital frequency of electron?

Orbital frequency, also known as the frequency of revolving electron is the number of revolutions an electron makes per second around an orbit. It is denoted as f. It is reciprocal or it is inversely proportional to the time period of the revolving electron around the orbit.

How to Calculate Orbital Frequency given Velocity of Electron?

Orbital Frequency given Velocity of Electron calculator uses Frequency using Energy = Velocity of Electron/(2*pi*Radius of Orbit) to calculate the Frequency using Energy, The Orbital Frequency given Velocity of Electron is the number of revolutions per second of the electron around the orbit. Frequency using Energy is denoted by fE symbol.

How to calculate Orbital Frequency given Velocity of Electron using this online calculator? To use this online calculator for Orbital Frequency given Velocity of Electron, enter Velocity of Electron (ve) & Radius of Orbit (rorbit) and hit the calculate button. Here is how the Orbital Frequency given Velocity of Electron calculation can be explained with given input values -> 5.7E+7 = 36/(2*pi*1E-07).

FAQ

What is Orbital Frequency given Velocity of Electron?
The Orbital Frequency given Velocity of Electron is the number of revolutions per second of the electron around the orbit and is represented as fE = ve/(2*pi*rorbit) or Frequency using Energy = Velocity of Electron/(2*pi*Radius of Orbit). The Velocity of Electron is the speed at which the electron moves in a particular orbit & Radius of Orbit is the distance from the center of orbit of an electron to a point on its surface.
How to calculate Orbital Frequency given Velocity of Electron?
The Orbital Frequency given Velocity of Electron is the number of revolutions per second of the electron around the orbit is calculated using Frequency using Energy = Velocity of Electron/(2*pi*Radius of Orbit). To calculate Orbital Frequency given Velocity of Electron, you need Velocity of Electron (ve) & Radius of Orbit (rorbit). With our tool, you need to enter the respective value for Velocity of Electron & Radius of Orbit 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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